Understanding Addition Compensation

This video tutorial explains the compensation strategy for addition, which simplifies calculations by adjusting numbers to the nearest multiple of ten. The rule is to perform an opposite operation on the other number. Two examples are provided: adjusting 57 to 60 and 68 to 65, and alternatively adjusting 68 to 70 and 57 to 55, both leading to the same result of 125.

What is the primary purpose of using compensation in addition?

• To avoid using addition

• To increase the number of steps

• To simplify the numbers involved

• To make numbers more complex

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CCSS.2.NBT.B.7

CCSS.3.NBT.A.2

In the example of 57 plus 68, what is the first step to simplify 57 using compensation?

• Subtract 3 from 57

• Add 3 to 57

• Multiply 57 by 3

• Divide 57 by 3

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CCSS.HSN.CN.A.2

After adjusting 57 to 60, what should be done to 68 according to the compensation rule?

• Divide 68 by 3

• Multiply 68 by 3

• Subtract 3 from 68

• Add 3 to 68

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CCSS.1.NBT.C.4

CCSS.2.MD.B.6

What is the result of 60 plus 65 in the compensation example?

• 120

• 130

• 115

• 125

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CCSS.4.NBT.B.6

In the alternative approach, what is the first step to simplify 68 using compensation?

• Subtract 2 from 68

• Add 2 to 68

• Multiply 68 by 2

• Divide 68 by 2

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CCSS.HSN.CN.A.2

After adjusting 68 to 70, what should be done to 57 according to the compensation rule?

• Divide 57 by 2

• Add 2 to 57

• Multiply 57 by 2

• Subtract 2 from 57

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CCSS.2.NBT.B.7

CCSS.3.NBT.A.2

What is the result of 70 plus 55 in the compensation example?

• 120

• 130

• 115

• 125

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CCSS.1.OA.B.3

What is the key rule of compensation in addition?

• Ignore the other side

• Do the same operation on both sides

• Multiply both sides by 10

• Do the opposite operation on the other side

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CCSS.1.OA.B.3