Multi-Digit Multiplication

Multi-Digit Multiplication

This is where we will learn more about how to multiply with numbers that have more than one digit.

This model is used to organize the numbers into a visual box and show how much area is in each box.
Once you find your partial products, add up your answers to find your final product, or the main answer.

Area Model

​50 x 30 = 1500	2 x 30 = 60​
​50 x 5 = 250	2 x 5 = 10​

​52 x 35

​50

​2

30

​5

​= (50+2) x (30+5)

​1500+60=1560

250+10=260

1 5 6 0
+ 2 6 0
1 8 2 0

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what two numbers are multiplied in the top right box (blue box). Top number goes first in your answer.

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what two numbers are multiplied in the top left box (yellow box). Top number goes first in your answer.

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what two numbers are multiplied in the bottom left box (orange box). Top number goes first in your answer.

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what two numbers are multiplied in the bottom right box (red box). Top number goes first in your answer.

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what is the final answer, or your product?

A partial product is a product of two numbers obtained when we break the numbers into parts, multiply the parts separately and then add them together.

Partial Product Method: Vertical

52
x 35

5 x 2 = 10
5 x 50 = 250
30 x 2 = 60
30 x 50= 1500

10
250
60
+ 1500
1820

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What two numbers are multiplied on the first line? (blue line) The 2 is first

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What two numbers are multiplied on the second line? (red line) The 2 is first

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What two numbers are multiplied on the third line? (green line) The 2 is first

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What two numbers are multiplied on the fourth line? (yellow line) The 2 is first

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What is 2148 x 2

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Find the answer

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Find the answer

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Fill in the missing number

The standard algorithm is a way of doing multiplication by using partial products or multiplying in parts. What you do with this algorithm is multiply the top number by the bottom number one digit at a time, working your way from right to left.

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Standard Algorithm

Drag and Drop

Match the answer options with the correct step: Step 1​:​

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Step 2​:​

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Step 3: ​

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Step 4: ​

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Step 5: ​

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Drag these tiles and drop them in the correct blank above

Multiply the 8 and 3

Write the 4 from 24 down below, then carry the 2

Carry the 2 from 24 and put above the 5

Multiply the 8 and 5

Add your answer with the carried 2

Your final answer is 422

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Fill in the missing number.

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Fill in the missing number