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What is the term for adjusting one number in a problem to make computations easier and balancing the adjustment by changing the other number?

A) Commutative property
B) Compatible numbers
C) Compensation
D)None

1 Answer

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Final answer:

The term for adjusting numbers to simplify calculations and then balancing the change is called Compensation, which is different from the commutative property.

Step-by-step explanation:

The term for adjusting one number in a problem to make computations easier, and balancing the adjustment by changing the other number, is C) Compensation. This technique is often used in mental math to simplify calculations. For instance, if you are adding 98 + 47, it may be easier to adjust the 98 up to 100 by adding 2. But to keep the sum the same, you would need to subtract 2 from 47, making the new problem 100 + 45, which is simpler to compute mentally. The provided information about the commutative property, which states that the order in which two numbers are added does not change the sum (A + B = B + A), is not directly relevant to the concept of compensation.

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