Question

estimate the difference. round each number to the nearest whole number, then subtract.
$10 \frac{13}{40} - 5 \frac{60}{71}$
the difference is approximately \boxed{}.

Explanation:

Step1: Round the first mixed number

The first mixed number is \(10\frac{13}{40}\). The fraction \(\frac{13}{40}=0.325\), which is less than \(0.5\), so we round \(10\frac{13}{40}\) to the nearest whole number, which is \(10\).

Step2: Round the second mixed number

The second mixed number is \(5\frac{60}{71}\). The fraction \(\frac{60}{71}\approx0.845\), which is greater than \(0.5\), so we round \(5\frac{60}{71}\) up to the nearest whole number, which is \(6\).

Step3: Subtract the rounded numbers

Now we subtract the rounded whole numbers: \(10 - 6 = 4\).

Answer:

\(4\)