In arithmetic, long division is a standard division algorithm suitable for dividing multidigit numbers that is simple enough to perform by hand. It breaks down a division problem into a series of easier steps. As in all division problems, one number, called the dividend, is divided by another, called the divisor, producing a result called the quotient. It enables computations involving arbitrarily large numbers to be performed by following a series of simple steps. The abbreviated form of long division is called short division, which is almost always used instead of long division when the divisor has only one digit. Chunking (also known as the partial quotients method or the hangman method) is a less-efficient form of long division which may be easier to understand.
Place in education
Inexpensive calculators and computers have become the most common way to solve division problems, eliminating a traditional mathematical exercise, and decreasing the educational opportunity to show how to do so by paper and pencil techniques. (Internally, those devices use one of a variety of division algorithms). In the United States, long division has been especially targeted for de-emphasis, or even elimination from the school curriculum, by reform mathematics, though traditionally introduced in the 4th or 5th grades.
Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!
published: 25 Feb 2013
Math Antics - Long Division with 2-Digit Divisors
Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!
published: 25 Sep 2015
Long Division With Polynomials - The Easy Way!
This video tutorial explains how to perform long division of polynomials with remainder and with missing terms.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:...
published: 08 Apr 2017
Long Division Made Easy - Examples With Large Numbers
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors with remainders. This video contains plenty of examples and practice problems. It's useful for beginners and for kids in 4th grade or 3rd grade. My recommendation is to make a list of the multiples of the divisor from 1 to 10 and use it perform the long division problem. The video will explain everything.
Basic Addition:
https://www.youtube.com/watch?v=2WxfQIElJuw
Basic Subtraction:
https://www.youtube.com/watch?v=3fYgZgbOJmM
Addition and Subtraction - Number Lines:
https://www.youtube.com/watch?v=wNhbz1EUPrc
Long M...
published: 02 Apr 2017
Long Division Made Easy: HMS Bring Down | EasyTeaching
A step by step look at how to do long division. Follow along with the steps HMS Bring down!
Long division with 2-digit divisors: https://youtu.be/MAYZRONVLNA
Find more resources at https://easyteaching.net
published: 24 Feb 2020
Long Division. DMSB. Grade 4
Watch also Long division with 2-digit divisors https://youtu.be/OYilodqVddA
Long Division is a step by step method for dividing the multi-digit numbers. It involves 4 basic steps: Divide, Multiply, Subtract, Bring Down, and then repeating the process. Use the acronym DMSB, which stands for Divide, Multiply, Subtract, and Bring down. It is an easy way to remember the steps of long division.
#longdivision #longdivisionmethod #divisiontricks #division #DMSBdivision
published: 05 May 2020
Polynomials - Long Division
This math video tutorial provides a basic introduction into polynomial long division. it explains how to find the quotient with the remainder given the dividend and the divisor.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
_____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v...
published: 16 Nov 2018
How to do Long Division with Polynomials (NancyPi)
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one basic example as an introduction to the steps, and one more advanced example. Nancy formerly of MathBFF explains the steps.
Follow me on Instagram! https://instagram.com/mathnancy
Follow me on Twitter: https://twitter.com/nancypi
The steps for long division of polynomials are the same as for long division of numbers and can be summarized as:
1) Find how many times the first term of your divisor (on the left) goes into the first term of your dividend (on the right).
2) Write that number (or "x" expression) on the top line above your dividend, aligned vertically with the term it's most similar to (like term).
3) Multiply that number (o...
published: 15 May 2018
Long Division
The vid is intended for students who have been using short division successfully for enough time that they are fully confident with the process. It is NOT intended as a student's first ever encounter with the division process. When those students see this video, the process of long division will click quickly for them.
My view is that long division is best for when there is a large divisor, because when there's a big divisor, you can make mistakes if trying to find the remainder by mental math.
I advocate the use of a mini-table of multiples. It's good for students to think in terms of patterns of multiples and this helps them do that. Breaking the math into 2 stages helps students who struggle because they have distinct chunks of work to do. This will allow the process of the division to...
This video tutorial explains how to perform long division of polynomials with remainder and with missing terms.
Introduction to Polynomials: ...
This video tutorial explains how to perform long division of polynomials with remainder and with missing terms.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
_____________________________________
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
___________________________________
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
Linear Functions:
https://www.youtube.com/watch?v=BtcKotD6Ni8
Functions and Graphs - Practice Problems:
https://www.youtube.com/watch?v=kvU9sOzT2mk
Functions - Practice Problems:
https://www.youtube.com/watch?v=1xATmTI-YY8
__________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
This video tutorial explains how to perform long division of polynomials with remainder and with missing terms.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
_____________________________________
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
___________________________________
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
Linear Functions:
https://www.youtube.com/watch?v=BtcKotD6Ni8
Functions and Graphs - Practice Problems:
https://www.youtube.com/watch?v=kvU9sOzT2mk
Functions - Practice Problems:
https://www.youtube.com/watch?v=1xATmTI-YY8
__________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors ...
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors with remainders. This video contains plenty of examples and practice problems. It's useful for beginners and for kids in 4th grade or 3rd grade. My recommendation is to make a list of the multiples of the divisor from 1 to 10 and use it perform the long division problem. The video will explain everything.
Basic Addition:
https://www.youtube.com/watch?v=2WxfQIElJuw
Basic Subtraction:
https://www.youtube.com/watch?v=3fYgZgbOJmM
Addition and Subtraction - Number Lines:
https://www.youtube.com/watch?v=wNhbz1EUPrc
Long Multiplication:
https://www.youtube.com/watch?v=GKetIwxaenA
Lattice Multiplication:
https://www.youtube.com/watch?v=ZDmNdjiYAIw
Area Model Multiplication:
https://www.youtube.com/watch?v=UV0ky5fESI0
____________________________________
Basic Division:
https://www.youtube.com/watch?v=yAJxHO7CLh4
Long Division:
https://www.youtube.com/watch?v=GiiuZ8sfw00
Short Division:
https://www.youtube.com/watch?v=uKsSB8zIR9M
Mental Math Tricks:
https://www.youtube.com/watch?v=nTn9gVqRfKY
Exponentiation and Tetration:
https://www.youtube.com/watch?v=S3s9cWWnZj0
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors with remainders. This video contains plenty of examples and practice problems. It's useful for beginners and for kids in 4th grade or 3rd grade. My recommendation is to make a list of the multiples of the divisor from 1 to 10 and use it perform the long division problem. The video will explain everything.
Basic Addition:
https://www.youtube.com/watch?v=2WxfQIElJuw
Basic Subtraction:
https://www.youtube.com/watch?v=3fYgZgbOJmM
Addition and Subtraction - Number Lines:
https://www.youtube.com/watch?v=wNhbz1EUPrc
Long Multiplication:
https://www.youtube.com/watch?v=GKetIwxaenA
Lattice Multiplication:
https://www.youtube.com/watch?v=ZDmNdjiYAIw
Area Model Multiplication:
https://www.youtube.com/watch?v=UV0ky5fESI0
____________________________________
Basic Division:
https://www.youtube.com/watch?v=yAJxHO7CLh4
Long Division:
https://www.youtube.com/watch?v=GiiuZ8sfw00
Short Division:
https://www.youtube.com/watch?v=uKsSB8zIR9M
Mental Math Tricks:
https://www.youtube.com/watch?v=nTn9gVqRfKY
Exponentiation and Tetration:
https://www.youtube.com/watch?v=S3s9cWWnZj0
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
A step by step look at how to do long division. Follow along with the steps HMS Bring down!
Long division with 2-digit divisors: https://youtu.be/MAYZRONVLNA
...
A step by step look at how to do long division. Follow along with the steps HMS Bring down!
Long division with 2-digit divisors: https://youtu.be/MAYZRONVLNA
Find more resources at https://easyteaching.net
A step by step look at how to do long division. Follow along with the steps HMS Bring down!
Long division with 2-digit divisors: https://youtu.be/MAYZRONVLNA
Find more resources at https://easyteaching.net
Watch also Long division with 2-digit divisors https://youtu.be/OYilodqVddA
Long Division is a step by step method for dividing the multi-digit numbers. It inv...
Watch also Long division with 2-digit divisors https://youtu.be/OYilodqVddA
Long Division is a step by step method for dividing the multi-digit numbers. It involves 4 basic steps: Divide, Multiply, Subtract, Bring Down, and then repeating the process. Use the acronym DMSB, which stands for Divide, Multiply, Subtract, and Bring down. It is an easy way to remember the steps of long division.
#longdivision #longdivisionmethod #divisiontricks #division #DMSBdivision
Watch also Long division with 2-digit divisors https://youtu.be/OYilodqVddA
Long Division is a step by step method for dividing the multi-digit numbers. It involves 4 basic steps: Divide, Multiply, Subtract, Bring Down, and then repeating the process. Use the acronym DMSB, which stands for Divide, Multiply, Subtract, and Bring down. It is an easy way to remember the steps of long division.
#longdivision #longdivisionmethod #divisiontricks #division #DMSBdivision
This math video tutorial provides a basic introduction into polynomial long division. it explains how to find the quotient with the remainder given the dividen...
This math video tutorial provides a basic introduction into polynomial long division. it explains how to find the quotient with the remainder given the dividend and the divisor.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
_____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
______________________________________
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
This math video tutorial provides a basic introduction into polynomial long division. it explains how to find the quotient with the remainder given the dividend and the divisor.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
_____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
______________________________________
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one basi...
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one basic example as an introduction to the steps, and one more advanced example. Nancy formerly of MathBFF explains the steps.
Follow me on Instagram! https://instagram.com/mathnancy
Follow me on Twitter: https://twitter.com/nancypi
The steps for long division of polynomials are the same as for long division of numbers and can be summarized as:
1) Find how many times the first term of your divisor (on the left) goes into the first term of your dividend (on the right).
2) Write that number (or "x" expression) on the top line above your dividend, aligned vertically with the term it's most similar to (like term).
3) Multiply that number (or "x" expression) by each term in your divisor (on the left) and write that result on the line directly below your dividend.
4) Subtract the second line from the first line and write your result below.
5) Drop down another term from your dividend into your bottom line.
6) Find how many times the first term of your divisor goes into the first term of your bottom line and write that result on your top line above the dividend, aligned vertically with the term like it.
7) Repeat steps #3-6 until the first term of your divisor cannot go into the first term of your bottom line result anymore. This bottom line expression is your remainder.
8) Your answer is your top line result plus your remainder over the divisor.
For more of my math videos, check out: http://nancypi.com
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one basic example as an introduction to the steps, and one more advanced example. Nancy formerly of MathBFF explains the steps.
Follow me on Instagram! https://instagram.com/mathnancy
Follow me on Twitter: https://twitter.com/nancypi
The steps for long division of polynomials are the same as for long division of numbers and can be summarized as:
1) Find how many times the first term of your divisor (on the left) goes into the first term of your dividend (on the right).
2) Write that number (or "x" expression) on the top line above your dividend, aligned vertically with the term it's most similar to (like term).
3) Multiply that number (or "x" expression) by each term in your divisor (on the left) and write that result on the line directly below your dividend.
4) Subtract the second line from the first line and write your result below.
5) Drop down another term from your dividend into your bottom line.
6) Find how many times the first term of your divisor goes into the first term of your bottom line and write that result on your top line above the dividend, aligned vertically with the term like it.
7) Repeat steps #3-6 until the first term of your divisor cannot go into the first term of your bottom line result anymore. This bottom line expression is your remainder.
8) Your answer is your top line result plus your remainder over the divisor.
For more of my math videos, check out: http://nancypi.com
The vid is intended for students who have been using short division successfully for enough time that they are fully confident with the process. It is NOT inten...
The vid is intended for students who have been using short division successfully for enough time that they are fully confident with the process. It is NOT intended as a student's first ever encounter with the division process. When those students see this video, the process of long division will click quickly for them.
My view is that long division is best for when there is a large divisor, because when there's a big divisor, you can make mistakes if trying to find the remainder by mental math.
I advocate the use of a mini-table of multiples. It's good for students to think in terms of patterns of multiples and this helps them do that. Breaking the math into 2 stages helps students who struggle because they have distinct chunks of work to do. This will allow the process of the division to take place more smoothly, and that's a MASSIVE help to students. Yes, they spend a bit of time on multiplying some values they won't need. But the end game is an easier time during the division process and this will get them there.
The vid is intended for students who have been using short division successfully for enough time that they are fully confident with the process. It is NOT intended as a student's first ever encounter with the division process. When those students see this video, the process of long division will click quickly for them.
My view is that long division is best for when there is a large divisor, because when there's a big divisor, you can make mistakes if trying to find the remainder by mental math.
I advocate the use of a mini-table of multiples. It's good for students to think in terms of patterns of multiples and this helps them do that. Breaking the math into 2 stages helps students who struggle because they have distinct chunks of work to do. This will allow the process of the division to take place more smoothly, and that's a MASSIVE help to students. Yes, they spend a bit of time on multiplying some values they won't need. But the end game is an easier time during the division process and this will get them there.
Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!
published: 25 Feb 2013
Math Antics - Long Division with 2-Digit Divisors
Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!
published: 25 Sep 2015
Long Division With Polynomials - The Easy Way!
This video tutorial explains how to perform long division of polynomials with remainder and with missing terms.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:...
published: 08 Apr 2017
Long Division Made Easy - Examples With Large Numbers
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors with remainders. This video contains plenty of examples and practice problems. It's useful for beginners and for kids in 4th grade or 3rd grade. My recommendation is to make a list of the multiples of the divisor from 1 to 10 and use it perform the long division problem. The video will explain everything.
Basic Addition:
https://www.youtube.com/watch?v=2WxfQIElJuw
Basic Subtraction:
https://www.youtube.com/watch?v=3fYgZgbOJmM
Addition and Subtraction - Number Lines:
https://www.youtube.com/watch?v=wNhbz1EUPrc
Long M...
published: 02 Apr 2017
Long Division Made Easy: HMS Bring Down | EasyTeaching
A step by step look at how to do long division. Follow along with the steps HMS Bring down!
Long division with 2-digit divisors: https://youtu.be/MAYZRONVLNA
Find more resources at https://easyteaching.net
published: 24 Feb 2020
Long Division. DMSB. Grade 4
Watch also Long division with 2-digit divisors https://youtu.be/OYilodqVddA
Long Division is a step by step method for dividing the multi-digit numbers. It involves 4 basic steps: Divide, Multiply, Subtract, Bring Down, and then repeating the process. Use the acronym DMSB, which stands for Divide, Multiply, Subtract, and Bring down. It is an easy way to remember the steps of long division.
#longdivision #longdivisionmethod #divisiontricks #division #DMSBdivision
published: 05 May 2020
Polynomials - Long Division
This math video tutorial provides a basic introduction into polynomial long division. it explains how to find the quotient with the remainder given the dividend and the divisor.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
_____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v...
published: 16 Nov 2018
How to do Long Division with Polynomials (NancyPi)
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one basic example as an introduction to the steps, and one more advanced example. Nancy formerly of MathBFF explains the steps.
Follow me on Instagram! https://instagram.com/mathnancy
Follow me on Twitter: https://twitter.com/nancypi
The steps for long division of polynomials are the same as for long division of numbers and can be summarized as:
1) Find how many times the first term of your divisor (on the left) goes into the first term of your dividend (on the right).
2) Write that number (or "x" expression) on the top line above your dividend, aligned vertically with the term it's most similar to (like term).
3) Multiply that number (o...
published: 15 May 2018
Long Division
The vid is intended for students who have been using short division successfully for enough time that they are fully confident with the process. It is NOT intended as a student's first ever encounter with the division process. When those students see this video, the process of long division will click quickly for them.
My view is that long division is best for when there is a large divisor, because when there's a big divisor, you can make mistakes if trying to find the remainder by mental math.
I advocate the use of a mini-table of multiples. It's good for students to think in terms of patterns of multiples and this helps them do that. Breaking the math into 2 stages helps students who struggle because they have distinct chunks of work to do. This will allow the process of the division to...
This video tutorial explains how to perform long division of polynomials with remainder and with missing terms.
Introduction to Polynomials: ...
This video tutorial explains how to perform long division of polynomials with remainder and with missing terms.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
_____________________________________
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
___________________________________
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
Linear Functions:
https://www.youtube.com/watch?v=BtcKotD6Ni8
Functions and Graphs - Practice Problems:
https://www.youtube.com/watch?v=kvU9sOzT2mk
Functions - Practice Problems:
https://www.youtube.com/watch?v=1xATmTI-YY8
__________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
This video tutorial explains how to perform long division of polynomials with remainder and with missing terms.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
_____________________________________
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
___________________________________
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
Linear Functions:
https://www.youtube.com/watch?v=BtcKotD6Ni8
Functions and Graphs - Practice Problems:
https://www.youtube.com/watch?v=kvU9sOzT2mk
Functions - Practice Problems:
https://www.youtube.com/watch?v=1xATmTI-YY8
__________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors ...
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors with remainders. This video contains plenty of examples and practice problems. It's useful for beginners and for kids in 4th grade or 3rd grade. My recommendation is to make a list of the multiples of the divisor from 1 to 10 and use it perform the long division problem. The video will explain everything.
Basic Addition:
https://www.youtube.com/watch?v=2WxfQIElJuw
Basic Subtraction:
https://www.youtube.com/watch?v=3fYgZgbOJmM
Addition and Subtraction - Number Lines:
https://www.youtube.com/watch?v=wNhbz1EUPrc
Long Multiplication:
https://www.youtube.com/watch?v=GKetIwxaenA
Lattice Multiplication:
https://www.youtube.com/watch?v=ZDmNdjiYAIw
Area Model Multiplication:
https://www.youtube.com/watch?v=UV0ky5fESI0
____________________________________
Basic Division:
https://www.youtube.com/watch?v=yAJxHO7CLh4
Long Division:
https://www.youtube.com/watch?v=GiiuZ8sfw00
Short Division:
https://www.youtube.com/watch?v=uKsSB8zIR9M
Mental Math Tricks:
https://www.youtube.com/watch?v=nTn9gVqRfKY
Exponentiation and Tetration:
https://www.youtube.com/watch?v=S3s9cWWnZj0
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors with remainders. This video contains plenty of examples and practice problems. It's useful for beginners and for kids in 4th grade or 3rd grade. My recommendation is to make a list of the multiples of the divisor from 1 to 10 and use it perform the long division problem. The video will explain everything.
Basic Addition:
https://www.youtube.com/watch?v=2WxfQIElJuw
Basic Subtraction:
https://www.youtube.com/watch?v=3fYgZgbOJmM
Addition and Subtraction - Number Lines:
https://www.youtube.com/watch?v=wNhbz1EUPrc
Long Multiplication:
https://www.youtube.com/watch?v=GKetIwxaenA
Lattice Multiplication:
https://www.youtube.com/watch?v=ZDmNdjiYAIw
Area Model Multiplication:
https://www.youtube.com/watch?v=UV0ky5fESI0
____________________________________
Basic Division:
https://www.youtube.com/watch?v=yAJxHO7CLh4
Long Division:
https://www.youtube.com/watch?v=GiiuZ8sfw00
Short Division:
https://www.youtube.com/watch?v=uKsSB8zIR9M
Mental Math Tricks:
https://www.youtube.com/watch?v=nTn9gVqRfKY
Exponentiation and Tetration:
https://www.youtube.com/watch?v=S3s9cWWnZj0
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
A step by step look at how to do long division. Follow along with the steps HMS Bring down!
Long division with 2-digit divisors: https://youtu.be/MAYZRONVLNA
...
A step by step look at how to do long division. Follow along with the steps HMS Bring down!
Long division with 2-digit divisors: https://youtu.be/MAYZRONVLNA
Find more resources at https://easyteaching.net
A step by step look at how to do long division. Follow along with the steps HMS Bring down!
Long division with 2-digit divisors: https://youtu.be/MAYZRONVLNA
Find more resources at https://easyteaching.net
Watch also Long division with 2-digit divisors https://youtu.be/OYilodqVddA
Long Division is a step by step method for dividing the multi-digit numbers. It inv...
Watch also Long division with 2-digit divisors https://youtu.be/OYilodqVddA
Long Division is a step by step method for dividing the multi-digit numbers. It involves 4 basic steps: Divide, Multiply, Subtract, Bring Down, and then repeating the process. Use the acronym DMSB, which stands for Divide, Multiply, Subtract, and Bring down. It is an easy way to remember the steps of long division.
#longdivision #longdivisionmethod #divisiontricks #division #DMSBdivision
Watch also Long division with 2-digit divisors https://youtu.be/OYilodqVddA
Long Division is a step by step method for dividing the multi-digit numbers. It involves 4 basic steps: Divide, Multiply, Subtract, Bring Down, and then repeating the process. Use the acronym DMSB, which stands for Divide, Multiply, Subtract, and Bring down. It is an easy way to remember the steps of long division.
#longdivision #longdivisionmethod #divisiontricks #division #DMSBdivision
This math video tutorial provides a basic introduction into polynomial long division. it explains how to find the quotient with the remainder given the dividen...
This math video tutorial provides a basic introduction into polynomial long division. it explains how to find the quotient with the remainder given the dividend and the divisor.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
_____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
______________________________________
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
This math video tutorial provides a basic introduction into polynomial long division. it explains how to find the quotient with the remainder given the dividend and the divisor.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
_____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
______________________________________
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one basi...
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one basic example as an introduction to the steps, and one more advanced example. Nancy formerly of MathBFF explains the steps.
Follow me on Instagram! https://instagram.com/mathnancy
Follow me on Twitter: https://twitter.com/nancypi
The steps for long division of polynomials are the same as for long division of numbers and can be summarized as:
1) Find how many times the first term of your divisor (on the left) goes into the first term of your dividend (on the right).
2) Write that number (or "x" expression) on the top line above your dividend, aligned vertically with the term it's most similar to (like term).
3) Multiply that number (or "x" expression) by each term in your divisor (on the left) and write that result on the line directly below your dividend.
4) Subtract the second line from the first line and write your result below.
5) Drop down another term from your dividend into your bottom line.
6) Find how many times the first term of your divisor goes into the first term of your bottom line and write that result on your top line above the dividend, aligned vertically with the term like it.
7) Repeat steps #3-6 until the first term of your divisor cannot go into the first term of your bottom line result anymore. This bottom line expression is your remainder.
8) Your answer is your top line result plus your remainder over the divisor.
For more of my math videos, check out: http://nancypi.com
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one basic example as an introduction to the steps, and one more advanced example. Nancy formerly of MathBFF explains the steps.
Follow me on Instagram! https://instagram.com/mathnancy
Follow me on Twitter: https://twitter.com/nancypi
The steps for long division of polynomials are the same as for long division of numbers and can be summarized as:
1) Find how many times the first term of your divisor (on the left) goes into the first term of your dividend (on the right).
2) Write that number (or "x" expression) on the top line above your dividend, aligned vertically with the term it's most similar to (like term).
3) Multiply that number (or "x" expression) by each term in your divisor (on the left) and write that result on the line directly below your dividend.
4) Subtract the second line from the first line and write your result below.
5) Drop down another term from your dividend into your bottom line.
6) Find how many times the first term of your divisor goes into the first term of your bottom line and write that result on your top line above the dividend, aligned vertically with the term like it.
7) Repeat steps #3-6 until the first term of your divisor cannot go into the first term of your bottom line result anymore. This bottom line expression is your remainder.
8) Your answer is your top line result plus your remainder over the divisor.
For more of my math videos, check out: http://nancypi.com
The vid is intended for students who have been using short division successfully for enough time that they are fully confident with the process. It is NOT inten...
The vid is intended for students who have been using short division successfully for enough time that they are fully confident with the process. It is NOT intended as a student's first ever encounter with the division process. When those students see this video, the process of long division will click quickly for them.
My view is that long division is best for when there is a large divisor, because when there's a big divisor, you can make mistakes if trying to find the remainder by mental math.
I advocate the use of a mini-table of multiples. It's good for students to think in terms of patterns of multiples and this helps them do that. Breaking the math into 2 stages helps students who struggle because they have distinct chunks of work to do. This will allow the process of the division to take place more smoothly, and that's a MASSIVE help to students. Yes, they spend a bit of time on multiplying some values they won't need. But the end game is an easier time during the division process and this will get them there.
The vid is intended for students who have been using short division successfully for enough time that they are fully confident with the process. It is NOT intended as a student's first ever encounter with the division process. When those students see this video, the process of long division will click quickly for them.
My view is that long division is best for when there is a large divisor, because when there's a big divisor, you can make mistakes if trying to find the remainder by mental math.
I advocate the use of a mini-table of multiples. It's good for students to think in terms of patterns of multiples and this helps them do that. Breaking the math into 2 stages helps students who struggle because they have distinct chunks of work to do. This will allow the process of the division to take place more smoothly, and that's a MASSIVE help to students. Yes, they spend a bit of time on multiplying some values they won't need. But the end game is an easier time during the division process and this will get them there.
This video tutorial explains how to perform long division of polynomials with remainder and with missing terms.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
_____________________________________
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
___________________________________
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
Linear Functions:
https://www.youtube.com/watch?v=BtcKotD6Ni8
Functions and Graphs - Practice Problems:
https://www.youtube.com/watch?v=kvU9sOzT2mk
Functions - Practice Problems:
https://www.youtube.com/watch?v=1xATmTI-YY8
__________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors with remainders. This video contains plenty of examples and practice problems. It's useful for beginners and for kids in 4th grade or 3rd grade. My recommendation is to make a list of the multiples of the divisor from 1 to 10 and use it perform the long division problem. The video will explain everything.
Basic Addition:
https://www.youtube.com/watch?v=2WxfQIElJuw
Basic Subtraction:
https://www.youtube.com/watch?v=3fYgZgbOJmM
Addition and Subtraction - Number Lines:
https://www.youtube.com/watch?v=wNhbz1EUPrc
Long Multiplication:
https://www.youtube.com/watch?v=GKetIwxaenA
Lattice Multiplication:
https://www.youtube.com/watch?v=ZDmNdjiYAIw
Area Model Multiplication:
https://www.youtube.com/watch?v=UV0ky5fESI0
____________________________________
Basic Division:
https://www.youtube.com/watch?v=yAJxHO7CLh4
Long Division:
https://www.youtube.com/watch?v=GiiuZ8sfw00
Short Division:
https://www.youtube.com/watch?v=uKsSB8zIR9M
Mental Math Tricks:
https://www.youtube.com/watch?v=nTn9gVqRfKY
Exponentiation and Tetration:
https://www.youtube.com/watch?v=S3s9cWWnZj0
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
A step by step look at how to do long division. Follow along with the steps HMS Bring down!
Long division with 2-digit divisors: https://youtu.be/MAYZRONVLNA
Find more resources at https://easyteaching.net
Watch also Long division with 2-digit divisors https://youtu.be/OYilodqVddA
Long Division is a step by step method for dividing the multi-digit numbers. It involves 4 basic steps: Divide, Multiply, Subtract, Bring Down, and then repeating the process. Use the acronym DMSB, which stands for Divide, Multiply, Subtract, and Bring down. It is an easy way to remember the steps of long division.
#longdivision #longdivisionmethod #divisiontricks #division #DMSBdivision
This math video tutorial provides a basic introduction into polynomial long division. it explains how to find the quotient with the remainder given the dividend and the divisor.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
_____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
______________________________________
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one basic example as an introduction to the steps, and one more advanced example. Nancy formerly of MathBFF explains the steps.
Follow me on Instagram! https://instagram.com/mathnancy
Follow me on Twitter: https://twitter.com/nancypi
The steps for long division of polynomials are the same as for long division of numbers and can be summarized as:
1) Find how many times the first term of your divisor (on the left) goes into the first term of your dividend (on the right).
2) Write that number (or "x" expression) on the top line above your dividend, aligned vertically with the term it's most similar to (like term).
3) Multiply that number (or "x" expression) by each term in your divisor (on the left) and write that result on the line directly below your dividend.
4) Subtract the second line from the first line and write your result below.
5) Drop down another term from your dividend into your bottom line.
6) Find how many times the first term of your divisor goes into the first term of your bottom line and write that result on your top line above the dividend, aligned vertically with the term like it.
7) Repeat steps #3-6 until the first term of your divisor cannot go into the first term of your bottom line result anymore. This bottom line expression is your remainder.
8) Your answer is your top line result plus your remainder over the divisor.
For more of my math videos, check out: http://nancypi.com
The vid is intended for students who have been using short division successfully for enough time that they are fully confident with the process. It is NOT intended as a student's first ever encounter with the division process. When those students see this video, the process of long division will click quickly for them.
My view is that long division is best for when there is a large divisor, because when there's a big divisor, you can make mistakes if trying to find the remainder by mental math.
I advocate the use of a mini-table of multiples. It's good for students to think in terms of patterns of multiples and this helps them do that. Breaking the math into 2 stages helps students who struggle because they have distinct chunks of work to do. This will allow the process of the division to take place more smoothly, and that's a MASSIVE help to students. Yes, they spend a bit of time on multiplying some values they won't need. But the end game is an easier time during the division process and this will get them there.
In arithmetic, long division is a standard division algorithm suitable for dividing multidigit numbers that is simple enough to perform by hand. It breaks down a division problem into a series of easier steps. As in all division problems, one number, called the dividend, is divided by another, called the divisor, producing a result called the quotient. It enables computations involving arbitrarily large numbers to be performed by following a series of simple steps. The abbreviated form of long division is called short division, which is almost always used instead of long division when the divisor has only one digit. Chunking (also known as the partial quotients method or the hangman method) is a less-efficient form of long division which may be easier to understand.
Place in education
Inexpensive calculators and computers have become the most common way to solve division problems, eliminating a traditional mathematical exercise, and decreasing the educational opportunity to show how to do so by paper and pencil techniques. (Internally, those devices use one of a variety of division algorithms). In the United States, long division has been especially targeted for de-emphasis, or even elimination from the school curriculum, by reform mathematics, though traditionally introduced in the 4th or 5th grades.
This video tutorial explains how to perform long division of polynomials with remainder and with missing terms.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
_____________________________________
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
___________________________________
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
Linear Functions:
https://www.youtube.com/watch?v=BtcKotD6Ni8
Functions and Graphs - Practice Problems:
https://www.youtube.com/watch?v=kvU9sOzT2mk
Functions - Practice Problems:
https://www.youtube.com/watch?v=1xATmTI-YY8
__________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
This long division math youtube video tutorial explains how to divide big numbers the easy way. It explains how to perform long division with 2-digit divisors with remainders. This video contains plenty of examples and practice problems. It's useful for beginners and for kids in 4th grade or 3rd grade. My recommendation is to make a list of the multiples of the divisor from 1 to 10 and use it perform the long division problem. The video will explain everything.
Basic Addition:
https://www.youtube.com/watch?v=2WxfQIElJuw
Basic Subtraction:
https://www.youtube.com/watch?v=3fYgZgbOJmM
Addition and Subtraction - Number Lines:
https://www.youtube.com/watch?v=wNhbz1EUPrc
Long Multiplication:
https://www.youtube.com/watch?v=GKetIwxaenA
Lattice Multiplication:
https://www.youtube.com/watch?v=ZDmNdjiYAIw
Area Model Multiplication:
https://www.youtube.com/watch?v=UV0ky5fESI0
____________________________________
Basic Division:
https://www.youtube.com/watch?v=yAJxHO7CLh4
Long Division:
https://www.youtube.com/watch?v=GiiuZ8sfw00
Short Division:
https://www.youtube.com/watch?v=uKsSB8zIR9M
Mental Math Tricks:
https://www.youtube.com/watch?v=nTn9gVqRfKY
Exponentiation and Tetration:
https://www.youtube.com/watch?v=S3s9cWWnZj0
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
A step by step look at how to do long division. Follow along with the steps HMS Bring down!
Long division with 2-digit divisors: https://youtu.be/MAYZRONVLNA
Find more resources at https://easyteaching.net
Watch also Long division with 2-digit divisors https://youtu.be/OYilodqVddA
Long Division is a step by step method for dividing the multi-digit numbers. It involves 4 basic steps: Divide, Multiply, Subtract, Bring Down, and then repeating the process. Use the acronym DMSB, which stands for Divide, Multiply, Subtract, and Bring down. It is an easy way to remember the steps of long division.
#longdivision #longdivisionmethod #divisiontricks #division #DMSBdivision
This math video tutorial provides a basic introduction into polynomial long division. it explains how to find the quotient with the remainder given the dividend and the divisor.
Introduction to Polynomials: https://www.youtube.com/watch?v=Rxx4HepHI_E
Polynomials - Basic Operations:
https://www.youtube.com/watch?v=ZvL9aDGNHqA
Dividing Polynomials By Monomials:
https://www.youtube.com/watch?v=KyHXWAp7UGo
How To Graph Polynomial Functions:
https://www.youtube.com/watch?v=a5x4lwnvHM0
Intermediate Value Theorem:
https://www.youtube.com/watch?v=9wEHwFrUyOU
_____________________________________
Long Division - Polynomials:
https://www.youtube.com/watch?v=_FSXJmESFmQ
Polynomial Long Division - More Examples:
https://www.youtube.com/watch?v=8lT00iLntFc
Synthetic Division of Polynomials:
https://www.youtube.com/watch?v=FxHWoUOq2iQ
Remainder Theorem & Synthetic Division:
https://www.youtube.com/watch?v=p1lSRAeEMR0
Factor Theorem & Synthetic Division:
https://www.youtube.com/watch?v=zAGP46nR6-0
Rational Zero Theorem:
https://www.youtube.com/watch?v=Iaq7z7reznM
______________________________________
Real & Imaginary Solutions - Polynomials:
https://www.youtube.com/watch?v=tRrPfxR5h-w
Solving Polynomial Equations - Synthetic D:
https://www.youtube.com/watch?v=ZaXaBcZxhq4
Solving Polynomial Equations With Excel:
https://www.youtube.com/watch?v=lomAl6XB_SM
Writing Polynomial Functions Given Zeros:
https://www.youtube.com/watch?v=vu0JmblDgog
Descartes Rule of Signs:
https://www.youtube.com/watch?v=YaU5JTe3cPU
Solving Polynomial Inequalities:
https://www.youtube.com/watch?v=Fd5ys4PQ-aM
_____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
MIT grad explains how to do long division with polynomials. Here I show clear steps to divide two polynomials using long division. I give two examples, one basic example as an introduction to the steps, and one more advanced example. Nancy formerly of MathBFF explains the steps.
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Follow me on Twitter: https://twitter.com/nancypi
The steps for long division of polynomials are the same as for long division of numbers and can be summarized as:
1) Find how many times the first term of your divisor (on the left) goes into the first term of your dividend (on the right).
2) Write that number (or "x" expression) on the top line above your dividend, aligned vertically with the term it's most similar to (like term).
3) Multiply that number (or "x" expression) by each term in your divisor (on the left) and write that result on the line directly below your dividend.
4) Subtract the second line from the first line and write your result below.
5) Drop down another term from your dividend into your bottom line.
6) Find how many times the first term of your divisor goes into the first term of your bottom line and write that result on your top line above the dividend, aligned vertically with the term like it.
7) Repeat steps #3-6 until the first term of your divisor cannot go into the first term of your bottom line result anymore. This bottom line expression is your remainder.
8) Your answer is your top line result plus your remainder over the divisor.
For more of my math videos, check out: http://nancypi.com
The vid is intended for students who have been using short division successfully for enough time that they are fully confident with the process. It is NOT intended as a student's first ever encounter with the division process. When those students see this video, the process of long division will click quickly for them.
My view is that long division is best for when there is a large divisor, because when there's a big divisor, you can make mistakes if trying to find the remainder by mental math.
I advocate the use of a mini-table of multiples. It's good for students to think in terms of patterns of multiples and this helps them do that. Breaking the math into 2 stages helps students who struggle because they have distinct chunks of work to do. This will allow the process of the division to take place more smoothly, and that's a MASSIVE help to students. Yes, they spend a bit of time on multiplying some values they won't need. But the end game is an easier time during the division process and this will get them there.
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