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Practice multiplication, fractions, decimals and algebraic reasoning with our popular math games.

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Introduction

Perhaps right after the addition at school we've learned how to multiply two numbers. This algorithm isn't as easy as addition, but besides that we're so familiar with it and that we even don't recognize it as an "algorithm". We just know it by heart.

However, as I already said, multiplication is a bit more difficult than addition. This algorithm is interesting because for several reasons. First of all, let's compare multiplication in binary and decimal.

So, let's see how to multiply two numbers.

Overview

Multiplying and adding is practically the same thing, so where's the difference?

It's clear that a product of two numbers (each with N digits) can be represented as N sums, as we can see on the next picture.

Now, for larger integers each time we shift left the next intermediate sum.

That is absolutely logical since we can represent the numbers as a sum of decimals divisible by 10 without a remainder.

Binary Multiplication

Sometimes binary is easier to work with than decimal and multiplication is just the case. As shown on the picture below binary multiplication is much easier compared to decimal.

That's because we multiply only by 1 and 0, so the intermediate sum can be either the first number or 0.

In the oder hand, shifting left in binary equals multiplication by 2.

Why? Well, simply because the base is 2. It's practically the same with decimals where shifting left equals multiplying by 10.

The same applies of course for any base, i.e. hex F equals decimal 15 (since the first number is 0) and FF equals 255 (which is 16×16 - 1).

Can we do better?

Unlike addition, here the answer is - yes, and we already know how to multiply faster (either decimal or binary numbers) using the Karatsuba's fast multiplication algorithm.

I've to admit that both addition and multiplication algorithms are fairly to understand, but we must remember that they are giving us the ground level for more complex cryptographic algorithms.

# data[].attributes.attachment_link.description
Introduction Perhaps right after the addition at school we've learned how to multiply two numbers. This algorithm isn't as easy as addition, but besides that we're so familiar with it and that we even don't recognize it as an "algorithm". We just know it by heart.

# data[].attributes.attachment_link.description
Breaking Apart: It's very helpful to have a and algorithm for solving large multiplication problems--an algorithm is a process (a set of steps) for organizing and finding the solution. In order to understand multiplication algorithms, it's very helpful to know the 1-digit multiplication facts, and it's important to understand how multiplying by 10s affects the product.

# data[].attributes.attachment_link.description
Breaking Apart: It's very helpful to have a and algorithm for solving large multiplication problems--an algorithm is a process (a set of steps) for organizing and finding the solution. In order to understand multiplication algorithms, it's very helpful to know the 1-digit multiplication facts, and it's important to understand how multiplying by 10s affects the product.

# data[].attributes.attachment_link.title
8 Times Table Song - Multiplication Memorization

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copyright 2011 www.kelbemusic.com Like Kelbe Schrank's music page on Facebook: www.facebook.com/kelbeschrank A simple video for the young and old to learn their 8 times tables. Play it over and over until you can sing it with your eyes closed!

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Multiply with standard algorithm and area model - YouTube

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Use the standard algorithm for multiplication | LearnZillion

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Multiplying with Standard Algorithm 1 - Grade 5 Module 2 - YouTube

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Intro to Algorithms: Crash Course Computer Science #13

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The Standard Multiplication Algorithm with a Two-Digit Multiplier
The Standard Multiplication Algorithm with a Two-Digit Multiplier
A free lesson with instruction & exercises that explains the standard multiplication algorithm with a two-digit multiplier (how to multiply for example 24 x 78). The lesson is for 4th grade.
homeschoolmath


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The Standard Multiplication Algorithm with a Two-Digit Multiplier
The Standard Multiplication Algorithm with a Two-Digit Multiplier
A free lesson with instruction & exercises that explains the standard multiplication algorithm with a two-digit multiplier (how to multiply for example 24 x 78). The lesson is for 4th grade.
homeschoolmath


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Who is writing positive things?

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The Standard Multiplication Algorithm with a Two-Digit Multiplier
The Standard Multiplication Algorithm with a Two-Digit Multiplier
A free lesson with instruction & exercises that explains the standard multiplication algorithm with a two-digit multiplier (how to multiply for example 24 x 78). The lesson is for 4th grade.
homeschoolmath


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its alehandro
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this is the video i used for when i needed help on homework
 


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Mariah
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 Multiplication Strategies - Algorithm
Multiplication Strategies - Algorithm
Here is the algorithm method, with two digit by two digit.
youtube
2 comments

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smart

Anonymous 8m
I know how to multiplie


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Math Antics - Multi-Digit Multiplication Pt 2
Math Antics - Multi-Digit Multiplication Pt 2
Learn More at mathantics.com Visit http://www.mathantics.com for more Free math videos and additional subscription based content!
youtube


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Davi
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yeah try some math if you want some money in the fut
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The Standard Multiplication Algorithm with a Two-Digit Multiplier
The Standard Multiplication Algorithm with a Two-Digit Multiplier
A free lesson with instruction & exercises that explains the standard multiplication algorithm with a two-digit multiplier (how to multiply for example 24 x 78). The lesson is for 4th grade.
homeschoolmath


Add comment
Empty
The Standard Multiplication Algorithm with a Two-Digit Multiplier
The Standard Multiplication Algorithm with a Two-Digit Multiplier
A free lesson with instruction & exercises that explains the standard multiplication algorithm with a two-digit multiplier (how to multiply for example 24 x 78). The lesson is for 4th grade.
homeschoolmath


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nju
 nju

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hiiiiiiiiiiiiiiii

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hi its amamuris

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hi

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oh no


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nice


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Test 5C
Test 5C
16 comments

Tracy Joseph 8m
Who is writing positive things?

Anonymous 7m
wassup

Anonymous 7m
hiiiiiiiiiiiiiiiiiiiiiiiiii

Anonymous 7m
idk

Anonymous 7m
multiplication is okay

Anonymous 7m
its helpful

Anonymous 6m
multiplication is easy when you use strategies

Anonymous 6m
whyyyy

Anonymous 6m
i guess its okay

Anonymous 5m
that multiplication is all you are doing is multiplication from the side and the top

Anonymous 5m
i lobe mulipication

Anonymous 5m
me\

Anonymous 2m
mee

Anonymous 2m
its fabio

Anonymous 2m
ha gadeeeee

Anonymous 2m
ITS ME TIFFANY I SAID MY NAME IS JEFF


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 1m
5 comments

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np

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everybody sucks

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how

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fabio

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are u there


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The Standard Multiplication Algorithm with a Two-Digit Multiplier
The Standard Multiplication Algorithm with a Two-Digit Multiplier
A free lesson with instruction & exercises that explains the standard multiplication algorithm with a two-digit multiplier (how to multiply for example 24 x 78). The lesson is for 4th grade.
homeschoolmath


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its alehandro
its alehandro
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hi alehandro

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yo

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ok we know


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jj
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jj

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wth

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NOOOOOOO GOD PLEASE NO


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im alehandro i got a big head
im alehandro i got a big head
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oof

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haha

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its fabio

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boi

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its jessica

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alejandro has a big head


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Vuoto


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Milani
Milani
this is the video i used for when i needed help on homework
 Column Multiplication - 3 digit by 2 digit
Column Multiplication - 3 digit by 2 digit
How to multiply a 3 digit number by a 2 digit number.
youtube


Add comment
Mariah
Mariah
 Multiplication Strategies - Algorithm
Multiplication Strategies - Algorithm
Here is the algorithm method, with two digit by two digit.
youtube
3 comments

Anonymous 10m
smart

Anonymous 7m
I know how to multiplie

Anonymous 1m
end this FRICKIN vid


Add comment
📎 Video
Math Antics - Multi-Digit Multiplication Pt 2
Math Antics - Multi-Digit Multiplication Pt 2
Learn More at mathantics.com Visit http://www.mathantics.com for more Free math videos and additional subscription based content!
youtube


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Davi
Davi 
lol
 
9 comments

Anonymous 3h
hahahhahahahhahahahahhahahhahhahhahhahhahhahhahahh

Anonymous 11m
hehe

Anonymous 10m
hehe lol

Anonymous 8m
boiiiiiiii

Anonymous 8m
yall suckkkkkkkkkkkkk

Anonymous 8m
boooooooooooooooooo

Anonymous 8m
lol\

Anonymous 8m
omg davie

Anonymous 7m
davi and sincero so cute


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its big head
its big head
im wourd

1 comment

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you good


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im jariel
im jariel
im ugly

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bru

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i know


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its vadilson
its vadilson
im ugly

10 comments

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ik

Anonymous 3h
alejandro has a big head

Anonymous 3h
ugly boy

Anonymous 3h
you sticky

Anonymous 3h
stankeylegface

Anonymous 3h
we know you are

Anonymous 11m
mk

Anonymous 11m
lol

Anonymous 9m
oink oink

Anonymous 8m
l know you are


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andrew
andrew 
 
2 comments

Anonymous 11m
what

Anonymous 8m
how do you expect me to know this


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jayden
 jayden

7 comments

Anonymous 3h
it vadilson

Anonymous 3h
i like the video

Anonymous 10m
wow

Anonymous 9m
OOOOOOOOOOOOOOOOOOOOOOOOOF I LIKE MYSELF

Anonymous 8m
what you like your self

Anonymous 7m
yea right

Anonymous 7m
bih head boi


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kahmon
kahmon
i like this video!
3 comments

Anonymous 3h
me to

Anonymous 11m
mk

Anonymous 9m
boi


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Emily
Emily
2 comments

Anonymous 3h
nono

Anonymous 7m
nono what


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 add

# data[].attributes.body
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yeah try some math if you want some money when your a grown up

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yeah try some math if you want some money when your a grown up