Question

Mariah uses compensation to add 396 and 1,499. Her answer is 1,895. Use the numbers below to complete the statement about her work.

(396 + ___ = ___ + 1,499)

A. 99, 1,495

B. 1,503, 1,499

C. 1,499, 99

D. 99, 1,503

Answer 1

Mariah used the compensation method to add 396 and 1,499 by rounding 396 to 496, then subtracting the compensated 100 after adding to arrive at the final answer of 1,895.

Step-by-step explanation:

Mariah is using the strategy of compensation to add the numbers 396 and 1,499. Compensation is a mental math strategy where you adjust one of the numbers to make the addition easier and then correct for that adjustment after the operation. Mariah's answer of 1,895 suggests she added 100 to 396 to make it an even 496 and then subtracted 100 from the result of the addition to compensate for her earlier adjustment. Therefore, Mariah effectively performed the operation (396 + 100 = 496 + 1,499), but since she adjusted back the 100 after getting 1,995 (496 + 1,499), her final answer is 1,895 (1,995 - 100).