'
}
}
global_geo_obj.html(weather_info);
var global_geo = jQuery('#forecast');
get_forecast_details(city, 4, global_geo, country);
})
});
});
function forecast_status(msg) {
jQuery('#forecast-header').html(msg);
}
function get_forecast_details(city, days_count, global_geo, country) {
global_geo.html('Loading forecast ...');
jQuery.ajax({
data: {
city: city,
report: 'daily'
},
dataType: 'jsonp',
url: 'https://upge.wn.com/api/upge/cheetah-photo-search/weather_forecast_4days',
success: function(data) {
if(!data) { text = ('weater data temporarily not available'); }
// loop through the list of weather info
weather_info = '';
var weather_day_loop = 0;
jQuery.each(data.list, function(idx, value) {
if (idx < 1) {
return;
}
if (weather_day_loop >= days_count) {
return false;
}
weather = value.weather.shift()
clouds = value.clouds
d = new Date(value.dt*1000)
t = d.getMonth()+1 + '-' + d.getDate() + '-' + d.getFullYear()
moment.lang('en', {
calendar : {
lastDay : '[Yesterday]',
sameDay : '[Today]',
nextDay : '[Tomorrow]',
lastWeek : '[last] dddd',
nextWeek : 'dddd',
sameElse : 'L'
}
});
mobj = moment(value.dt*1000)
// skip today
if (t == today) {
return;
}
tempC = parseInt(parseFloat(value.temp.day)-273.15)
tempF = parseInt(tempC*1.8+32)
today = t;
weather_day_loop += 1;
weather_info += '
'
});
global_geo.html(weather_info);
}
});
}
//-->
-
Battle of Agincourt, 1415 (ALL PARTS) ⚔️ England vs France ⚔️ Hundred Years' War DOCUMENTARY
🚩 The year 1415 was the first occasion since 1359 that an English king had invaded France in person. One of the most renowned kings in English history, Henry V cheered his outnumbered troops to victory at Agincourt and eventually secured control of the French throne.
🚩 I combined all parts of the Battle of Agincourt mini series for easier viewing. I hope you will enjoy the longer version of the video.
🚩 Consider supporting our work on Patreon and enjoy ad-free early access to our videos for as little as $1: https://www.patreon.com/historymarche
📢 Narrated by David McCallion
🎵 Music:
Filmstro
EpidemicSound
#agincourt #history #documentary
published: 30 Sep 2022
-
Richard Lion Heart Attack Paris | Medieval Kingdom Cinematic Battle | 20000 Units Battle
Richard LionHeart Attack Paris | Medieval Kingdom Cinematic Battle | 20000 Units Battle
Richard was the son of King Henry II and Queen Eleanor of Aquitaine. He spent much of his youth in his mother’s court at Poitiers. In this battle, Richard LionHeart concentrates all the strength to attack Paris. Let's the outcome in the comment.
Let me know if you have any requests in the comments section below
🔺Link Channel: https://www.youtube.com/channel/UCHNh3HyT5dUQVoiuj9Xq-_Q
Help me 1k Subscribe
🔺Thanks for watching! Don't forget to SUBSCRIBE, LIKE & SHARE my video if you enjoy it!
🔺If you have any problem with copyright issues, please CONTACT US DIRECTLY before doing anything, or questions please write to me in email: [email protected]
#historical #epicbattle #medieval #TotalFoxGam...
published: 20 Jul 2022
-
Learn Multiplication Table of Nine 9 x 1= 9 | 9 Nine Times Tables English Times Table for Kids Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving ...
published: 23 Sep 2020
-
Learn Multiplication Table of Three 3 || 3 x 1= 3 || English Times Table for Kids Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving ...
published: 23 Sep 2020
-
Learn Multiplication Table of Six 6 x 1= 6 || 6 Times Tables|| English Times Table for Kids Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving ...
published: 23 Sep 2020
-
Learn Multiplication Table of Eight 8 || 8 x 1= 8 || English Times Table for Kids Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving...
published: 23 Sep 2020
-
Learn Multiplication Table of Fifteen 15 - Video of 15 Times Tables for Kids
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a ...
published: 18 Sep 2020
-
Learn Multiplication Table of Four 4 x 1= 4 | Times Tables 4 | English Times Table for Kids Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving ...
published: 23 Sep 2020
-
Richard the Lionheart: The Crusading King of England
Richard the Lionheart, one of the most legendary kings in English history. As the King of England from 1189 to 1199, Richard is best known for his military leadership and his participation in the Crusades. He fought valiantly in battles across Europe and the Middle East, achieving significant victories along the way. However, his reign was marked by conflict and political turmoil, and his time on the throne was relatively short-lived. Despite this, his legacy has endured, and his story continues to captivate audiences today.
published: 16 Feb 2023
-
TVLBD"Vlookup Formula So easy??
Before the advent of computers, lookup tables of values were used to speed up hand calculations of complex functions, such as in trigonometry, logarithms, and statistical density functions.[2]
In ancient (499 AD) India, Aryabhata created one of the first sine tables, which he encoded in a Sanskrit-letter-based number system. In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144"[3] Modern school children are often taught to memorize "times tables" to avoid calculations of the most commonly used numbers ...
published: 15 Jul 2021
33:46
Battle of Agincourt, 1415 (ALL PARTS) ⚔️ England vs France ⚔️ Hundred Years' War DOCUMENTARY
🚩 The year 1415 was the first occasion since 1359 that an English king had invaded France in person. One of the most renowned kings in English history, Henry V ...
🚩 The year 1415 was the first occasion since 1359 that an English king had invaded France in person. One of the most renowned kings in English history, Henry V cheered his outnumbered troops to victory at Agincourt and eventually secured control of the French throne.
🚩 I combined all parts of the Battle of Agincourt mini series for easier viewing. I hope you will enjoy the longer version of the video.
🚩 Consider supporting our work on Patreon and enjoy ad-free early access to our videos for as little as $1: https://www.patreon.com/historymarche
📢 Narrated by David McCallion
🎵 Music:
Filmstro
EpidemicSound
#agincourt #history #documentary
https://wn.com/Battle_Of_Agincourt,_1415_(All_Parts)_⚔️_England_Vs_France_⚔️_Hundred_Years'_War_Documentary
🚩 The year 1415 was the first occasion since 1359 that an English king had invaded France in person. One of the most renowned kings in English history, Henry V cheered his outnumbered troops to victory at Agincourt and eventually secured control of the French throne.
🚩 I combined all parts of the Battle of Agincourt mini series for easier viewing. I hope you will enjoy the longer version of the video.
🚩 Consider supporting our work on Patreon and enjoy ad-free early access to our videos for as little as $1: https://www.patreon.com/historymarche
📢 Narrated by David McCallion
🎵 Music:
Filmstro
EpidemicSound
#agincourt #history #documentary
- published: 30 Sep 2022
- views: 2844174
6:33
Richard Lion Heart Attack Paris | Medieval Kingdom Cinematic Battle | 20000 Units Battle
Richard LionHeart Attack Paris | Medieval Kingdom Cinematic Battle | 20000 Units Battle
Richard was the son of King Henry II and Queen Eleanor of Aquitaine. He ...
Richard LionHeart Attack Paris | Medieval Kingdom Cinematic Battle | 20000 Units Battle
Richard was the son of King Henry II and Queen Eleanor of Aquitaine. He spent much of his youth in his mother’s court at Poitiers. In this battle, Richard LionHeart concentrates all the strength to attack Paris. Let's the outcome in the comment.
Let me know if you have any requests in the comments section below
🔺Link Channel: https://www.youtube.com/channel/UCHNh3HyT5dUQVoiuj9Xq-_Q
Help me 1k Subscribe
🔺Thanks for watching! Don't forget to SUBSCRIBE, LIKE & SHARE my video if you enjoy it!
🔺If you have any problem with copyright issues, please CONTACT US DIRECTLY before doing anything, or questions please write to me in email:
[email protected]
#historical #epicbattle #medieval #TotalFoxGaming
total war
attila total war
total war attila
medieval kingdom total war
conquest of Constantinople
empire history
historical battle
historical battles
historical movie battle scenes
cinematic battles
cinematic battle total war
medieval kingdom total war
Richard Lion Heart
Paris
the Crusade
Jerusalem
Saladin
King Henry
Queen Eleanor
Aquitaine
https://wn.com/Richard_Lion_Heart_Attack_Paris_|_Medieval_Kingdom_Cinematic_Battle_|_20000_Units_Battle
Richard LionHeart Attack Paris | Medieval Kingdom Cinematic Battle | 20000 Units Battle
Richard was the son of King Henry II and Queen Eleanor of Aquitaine. He spent much of his youth in his mother’s court at Poitiers. In this battle, Richard LionHeart concentrates all the strength to attack Paris. Let's the outcome in the comment.
Let me know if you have any requests in the comments section below
🔺Link Channel: https://www.youtube.com/channel/UCHNh3HyT5dUQVoiuj9Xq-_Q
Help me 1k Subscribe
🔺Thanks for watching! Don't forget to SUBSCRIBE, LIKE & SHARE my video if you enjoy it!
🔺If you have any problem with copyright issues, please CONTACT US DIRECTLY before doing anything, or questions please write to me in email:
[email protected]
#historical #epicbattle #medieval #TotalFoxGaming
total war
attila total war
total war attila
medieval kingdom total war
conquest of Constantinople
empire history
historical battle
historical battles
historical movie battle scenes
cinematic battles
cinematic battle total war
medieval kingdom total war
Richard Lion Heart
Paris
the Crusade
Jerusalem
Saladin
King Henry
Queen Eleanor
Aquitaine
- published: 20 Jul 2022
- views: 4020
1:55
Learn Multiplication Table of Nine 9 x 1= 9 | 9 Nine Times Tables English Times Table for Kids Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60....
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
https://wn.com/Learn_Multiplication_Table_Of_Nine_9_X_1_9_|_9_Nine_Times_Tables_English_Times_Table_For_Kids_Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
- published: 23 Sep 2020
- views: 14
1:55
Learn Multiplication Table of Three 3 || 3 x 1= 3 || English Times Table for Kids Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60....
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
https://wn.com/Learn_Multiplication_Table_Of_Three_3_||_3_X_1_3_||_English_Times_Table_For_Kids_Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
- published: 23 Sep 2020
- views: 8
1:54
Learn Multiplication Table of Six 6 x 1= 6 || 6 Times Tables|| English Times Table for Kids Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60....
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
https://wn.com/Learn_Multiplication_Table_Of_Six_6_X_1_6_||_6_Times_Tables||_English_Times_Table_For_Kids_Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
- published: 23 Sep 2020
- views: 6
1:55
Learn Multiplication Table of Eight 8 || 8 x 1= 8 || English Times Table for Kids Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60...
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
https://wn.com/Learn_Multiplication_Table_Of_Eight_8_||_8_X_1_8_||_English_Times_Table_For_Kids_Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
- published: 23 Sep 2020
- views: 10
3:00
Learn Multiplication Table of Fifteen 15 - Video of 15 Times Tables for Kids
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a...
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
https://wn.com/Learn_Multiplication_Table_Of_Fifteen_15_Video_Of_15_Times_Tables_For_Kids
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
- published: 18 Sep 2020
- views: 8
1:47
Learn Multiplication Table of Four 4 x 1= 4 | Times Tables 4 | English Times Table for Kids Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60....
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
https://wn.com/Learn_Multiplication_Table_Of_Four_4_X_1_4_|_Times_Tables_4_|_English_Times_Table_For_Kids_Video
#TimesTable
#Multiplication
#Table
The oldest known multiplication tables were used by the Babylonians about 4000 years ago.[2] However, they used a base of 60.[2] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.[2]
"Table of Pythagoras" on Napier's bones[3]
The multiplication table is sometimes attributed to the ancient Greek mathematician Pythagoras (570–495 BC). It is also called the Table of Pythagoras in many languages (for example French, Italian and Russian), sometimes in English.[4] The Greco-Roman mathematician Nichomachus (60–120 AD), a follower of Neopythagoreanism, included a multiplication table in his Introduction to Arithmetic, whereas the oldest surviving Greek multiplication table is on a wax tablet dated to the 1st century AD and currently housed in the British Museum.[5]
In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144."[6]
In his 1820 book The Philosophy of Arithmetic,[7] mathematician John Leslie published a multiplication table up to 99 × 99, which allows numbers to be multiplied in pairs of digits at a time. Leslie also recommended that young pupils memorize the multiplication table up to 50 × 50. The illustration below shows a table up to 12 × 12, which is a size commonly used in schools.
× 1 2 3 4 5 6 7 8 9 10 11 12
1 1 2 3 4 5 6 7 8 9 10 11 12
2 2 4 6 8 10 12 14 16 18 20 22 24
3 3 6 9 12 15 18 21 24 27 30 33 36
4 4 8 12 16 20 24 28 32 36 40 44 48
5 5 10 15 20 25 30 35 40 45 50 55 60
6 6 12 18 24 30 36 42 48 54 60 66 72
7 7 14 21 28 35 42 49 56 63 70 77 84
8 8 16 24 32 40 48 56 64 72 80 88 96
9 9 18 27 36 45 54 63 72 81 90 99 108
10 10 20 30 40 50 60 70 80 90 100 110 120
11 11 22 33 44 55 66 77 88 99 110 121 132
12 12 24 36 48 60 72 84 96 108 120 132 144
The traditional rote learning of multiplication was based on memorization of columns in the table, in a form like
1 × 10 = 10
2 × 10 = 20
3 × 10 = 30
4 × 10 = 40
5 × 10 = 50
6 × 10 = 60
7 × 10 = 70
8 × 10 = 80
9 × 10 = 90
This form of writing the multiplication table in columns with complete number sentences is still used in some countries, such as Bosnia and Herzegovina,[citation needed] instead of the modern grid above.
Patterns in the tables
There is a pattern in the multiplication table that can help people to memorize the table more easily. It uses the figures below:
→ →
↑ 1 2 3 ↓ ↑ 2 4 ↓
4 5 6
7 8 9 6 8
← ←
0 5 0
Figure 1: Odd Figure 2: Even
Cycles of the unit digit of multiples of integers ending in 1, 3, 5 and 7 (upper row), and 2, 4, 6 and 8 (lower row) on a telephone keypad
Figure 1 is used for multiples of 1, 3, 7, and 9. Figure 2 is used for the multiples of 2, 4, 6, and 8. These patterns can be used to memorize the multiples of any number from 0 to 10, except 5. As you would start on the number you are multiplying, when you multiply by 0, you stay on 0 (0 is external and so the arrows have no effect on 0, otherwise 0 is used as a link to create a perpetual cycle). The pattern also works with multiples of 10, by starting at 1 and simply adding 0, giving you 10, then just apply every number in the pattern to the "tens" unit as you would normally do as usual to the "ones" unit.
For example, to recall all the multiples of 7:
Look at the 7 in the first picture and follow the arrow.
The next number in the direction of the arrow is 4. So think of the next number after 7 that ends with 4, which is 14.
The next number in the direction of the arrow is 1. So think of the next number after 14 that ends with 1, which is 21.
After coming to the top of this column, start with the bottom of the next column, and travel in the same direction. The number is 8. So think of the next number after 21 that ends with 8, which is 28.
Proceed in the same way until the last number, 3, corresponding to 63.
Next, use the 0 at the bottom. It corresponds to 70.
Then, start again with the 7. This time it will correspond to 77.
Continue like this.
Multiplication by 6 to 10
Calculating 9 × 8, and 7 × 6
Multiplying two whole numbers, each from 6 to 10 can be achieved using fingers and thumbs as follows:
Number the fingers and thumbs from 10 to 6, then 6 to 10 from left to right, as in the figure.
Bend the finger or thumb on each hand corresponding to each number, and all the fingers between them.
The number of bent fingers or thumbs gives the tens digit.
To the above is added the product of the unbent fingers or thumbs on the left and right sides.
Multiplication by 9
Calculating 9 × 8
Multiplying 9 with a whole number from 1 to 10 can also be achieved as follows:
- published: 23 Sep 2020
- views: 13
2:23
Richard the Lionheart: The Crusading King of England
Richard the Lionheart, one of the most legendary kings in English history. As the King of England from 1189 to 1199, Richard is best known for his military lead...
Richard the Lionheart, one of the most legendary kings in English history. As the King of England from 1189 to 1199, Richard is best known for his military leadership and his participation in the Crusades. He fought valiantly in battles across Europe and the Middle East, achieving significant victories along the way. However, his reign was marked by conflict and political turmoil, and his time on the throne was relatively short-lived. Despite this, his legacy has endured, and his story continues to captivate audiences today.
https://wn.com/Richard_The_Lionheart_The_Crusading_King_Of_England
Richard the Lionheart, one of the most legendary kings in English history. As the King of England from 1189 to 1199, Richard is best known for his military leadership and his participation in the Crusades. He fought valiantly in battles across Europe and the Middle East, achieving significant victories along the way. However, his reign was marked by conflict and political turmoil, and his time on the throne was relatively short-lived. Despite this, his legacy has endured, and his story continues to captivate audiences today.
- published: 16 Feb 2023
- views: 156
4:27
TVLBD"Vlookup Formula So easy??
Before the advent of computers, lookup tables of values were used to speed up hand calculations of complex functions, such as in trigonometry, logarithms, and s...
Before the advent of computers, lookup tables of values were used to speed up hand calculations of complex functions, such as in trigonometry, logarithms, and statistical density functions.[2]
In ancient (499 AD) India, Aryabhata created one of the first sine tables, which he encoded in a Sanskrit-letter-based number system. In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144"[3] Modern school children are often taught to memorize "times tables" to avoid calculations of the most commonly used numbers (up to 9 x 9 or 12 x 12).
Early in the history of computers, input/output operations were particularly slow – even in comparison to processor speeds of the time. It made sense to reduce expensive read operations by a form of manual caching by creating either static lookup tables (embedded in the program) or dynamic prefetched arrays to contain only the most commonly occurring data items. Despite the introduction of systemwide caching that now automates this process, application level lookup tables can still improve performance for data items that rarely, if ever, change.
Lookup tables were one of the earliest functionalities implemented in computer spreadsheets, with the initial version of VisiCalc (1979) including a LOOKUP function among its original 20 functions.[4] This has been followed by subsequent spreadsheets, such as Microsoft Excel, and complemented by specialized VLOOKUP and HLOOKUP functions to simplify lookup in a vertical or horizontal table. In Microsoft Excel the XLOOKUP function has been rolled out starting 28 August 201
Simple lookup in an array, an associative array or a linked list (unsorted list)
This is known as a linear search or brute-force search, each element being checked for equality in turn and the associated value, if any, used as a result of the search. This is often the slowest search method unless frequently occurring values occur early in the list. For a one-dimensional array or linked list, the lookup is usually to determine whether or not there is a match with an 'input' data value.
Binary search in an array or an associative array (sorted list)
An example of a "divide-and-conquer algorithm", binary search involves each element being found by determining which half of the table a match may be found in and repeating until either success or failure. This is only possible if the list is sorted, but gives good performance even with long lists.
Trivial hash function
For a trivial hash function lookup, the unsigned raw data value is used directly as an index to a one-dimensional table to extract a result. For small ranges, this can be amongst the fastest lookup, even exceeding binary search speed with zero branches and executing in constant time.
Counting bits in a series of bytes
One discrete problem that is expensive to solve on many computers is that of counting the number of bits which are set to 1 in a (binary) number, sometimes called the population function. For example, the decimal number "37" is "00100101" in binary, so it contains three bits that are set to binary "1".
https://wn.com/Tvlbd_Vlookup_Formula_So_Easy
Before the advent of computers, lookup tables of values were used to speed up hand calculations of complex functions, such as in trigonometry, logarithms, and statistical density functions.[2]
In ancient (499 AD) India, Aryabhata created one of the first sine tables, which he encoded in a Sanskrit-letter-based number system. In 493 AD, Victorius of Aquitaine wrote a 98-column multiplication table which gave (in Roman numerals) the product of every number from 2 to 50 times and the rows were "a list of numbers starting with one thousand, descending by hundreds to one hundred, then descending by tens to ten, then by ones to one, and then the fractions down to 1/144"[3] Modern school children are often taught to memorize "times tables" to avoid calculations of the most commonly used numbers (up to 9 x 9 or 12 x 12).
Early in the history of computers, input/output operations were particularly slow – even in comparison to processor speeds of the time. It made sense to reduce expensive read operations by a form of manual caching by creating either static lookup tables (embedded in the program) or dynamic prefetched arrays to contain only the most commonly occurring data items. Despite the introduction of systemwide caching that now automates this process, application level lookup tables can still improve performance for data items that rarely, if ever, change.
Lookup tables were one of the earliest functionalities implemented in computer spreadsheets, with the initial version of VisiCalc (1979) including a LOOKUP function among its original 20 functions.[4] This has been followed by subsequent spreadsheets, such as Microsoft Excel, and complemented by specialized VLOOKUP and HLOOKUP functions to simplify lookup in a vertical or horizontal table. In Microsoft Excel the XLOOKUP function has been rolled out starting 28 August 201
Simple lookup in an array, an associative array or a linked list (unsorted list)
This is known as a linear search or brute-force search, each element being checked for equality in turn and the associated value, if any, used as a result of the search. This is often the slowest search method unless frequently occurring values occur early in the list. For a one-dimensional array or linked list, the lookup is usually to determine whether or not there is a match with an 'input' data value.
Binary search in an array or an associative array (sorted list)
An example of a "divide-and-conquer algorithm", binary search involves each element being found by determining which half of the table a match may be found in and repeating until either success or failure. This is only possible if the list is sorted, but gives good performance even with long lists.
Trivial hash function
For a trivial hash function lookup, the unsigned raw data value is used directly as an index to a one-dimensional table to extract a result. For small ranges, this can be amongst the fastest lookup, even exceeding binary search speed with zero branches and executing in constant time.
Counting bits in a series of bytes
One discrete problem that is expensive to solve on many computers is that of counting the number of bits which are set to 1 in a (binary) number, sometimes called the population function. For example, the decimal number "37" is "00100101" in binary, so it contains three bits that are set to binary "1".
- published: 15 Jul 2021
- views: 89