Understanding Division and Compensation Method

This video tutorial explains the compensation method in multiplication, using examples to demonstrate how to adjust factors and results. The method involves identifying changes in factors, such as multiplying or dividing by powers of ten, and applying these changes to the result. Three examples illustrate the process: multiplying by 10, multiplying by 100 and dividing by 10, and dividing by 2. The video emphasizes understanding the movement of decimal points and adjusting results accordingly.

What is the initial example used to explain the compensation method?

• 720 times 3

• 72 times 30

• 7.2 times 15

• 7.2 times 30

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CCSS.3.NBT.A.3

What is the first step in the compensation method?

• Calculate the result

• Modify the factors

• Determine the change in each factor

• Underline the modified factors

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CCSS.5.NBT.A.2

How do you determine the change from 7.2 to 72?

• Add 10

• Multiply by 10

• Divide by 10

• Subtract 10

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CCSS.5.NBT.A.2

What is the result of multiplying 216 by 10?

• 216

• 21600

• 2160

• 216000

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CCSS.5.NBT.B.5

What is the second step in the compensation method?

• Calculate the result

• Apply changes to the result

• Determine the change in each factor

• Underline the modified factors

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CCSS.5.NBT.A.2

In the example of 720 times 3, what change is applied to the factor 30?

• Multiply by 10

• Divide by 10

• Multiply by 100

• Divide by 2

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

What is the result of 21600 divided by 10?

• 216000

• 21600

• 216

• 2160

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CCSS.4.OA.B.4

In the final example, what change is applied to the factor 30 to get 15?

• Multiply by 2

• Divide by 2

• Multiply by 10

• Divide by 10

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CCSS.4.NBT.B.6

What is the result of dividing 216 by 2?

• 1080

• 216

• 2160

• 108

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CCSS.1.NBT.C.4

CCSS.2.MD.B.6

What is the final step in the compensation method?

• Calculate the result

• Apply changes to the result

• Determine the change in each factor

• Underline the modified factors

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CCSS.1.NBT.C.4

CCSS.2.MD.B.6