Answer
Estimated answer = 10
Exact answer = $10\frac{3}{8}$
Work Step by Step
$17$ - $6\frac{5}{8}$
= $16\frac{8}{8}$ - $6\frac{5}{8}$
Estimation:
$6\frac{5}{8} \approx 7$
Therefore
$17$ - $6\frac{5}{8}$ $\approx$ 17 - 7 = 10
Exact Calculation:
$16\frac{8}{8}$ - $6\frac{5}{8}$
= $16$ + $\frac{8}{8}$ - ($6$ + $\frac{5}{8})$
= $16$ + $\frac{8}{8}$ - $6$ - $\frac{5}{8}$
= ($16$ - $6$) + ($\frac{8}{8}$ - $\frac{5}{8}$)
(Solving whole parts separately and fractional parts separately)
= $10$ + $\frac{8 - 5}{8}$
= $10$ + $\frac{3}{8}$
= $10\frac{3}{8}$
The estimate was 10, so the exact answer of
$10\frac{3}{8}$ is reasonable.
