Question

Why is it important to estimate to check for reasonableness

Answer 1

Estimating is a skill that is important by different ways like: decimal places, rounding, and probability percentages. This help you get a reasonable check by confirming or verifying your answer into accuracy. Estimating a problem would be helpful to towards you and your answering ability.

Answer 2

When evaluating complicated expressions, we (humans) tend to make errors. We miss decimal points, forget a minus sign, etc. Estimating roughly what value to expect from a series of calculation helps us compare with our laboriously calculated exact solution.

If the estimate and the exact result are far off we know we must have made a mistake.