Will rounding to the nearest 10 or the nearest 100 give a closer estimate of 748−431
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Explain your answer.
(4 points)
Rounding to the nearest 10 will give a closer estimate of 748−431 compared to rounding to the nearest 100.
When rounding to the nearest 10, we only consider the tens place of the numbers. In this case, 748 rounds to 750 and 431 rounds to 430. So, 748−431 becomes 750−430 which is 320.
When rounding to the nearest 100, we consider the hundreds place of the numbers. In this case, 748 rounds to 700 and 431 rounds to 400. So, 748−431 becomes 700−400 which is 300.
Therefore, rounding to the nearest 10 gives a closer estimate of 748−431 compared to rounding to the nearest 100.