Question

1. reasoning how can estimating the quotient help you check that your answer to a division problem is reasonable?

Explanation:

When you estimate the quotient (e.g., by rounding the dividend and divisor to compatible numbers), you get a rough idea of what the answer should be. Then, you can compare your actual division result to this estimate. If the actual result is close to the estimate, it's likely reasonable; if it's far off, you may have made a mistake. For example, if dividing 123 by 4, estimate by using 120 ÷ 4 = 30. If your actual calculation gives 30.75, it's close to 30, so reasonable. If you got 3 or 300, it's far from 30, so likely wrong.

Answer:

Estimating the quotient gives a rough expected value. By comparing the actual division result to this estimate, if they are close, the answer is reasonable; if not, there may be an error.