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estimate the sum. round each number to the nearest whole number, then a…

Question

estimate the sum. round each number to the nearest whole number, then add.
$8\frac{1}{8} + 1\frac{3}{5}$
the sum is approximately \boxed{}

Explanation:

Step1: Round \(8\frac{1}{8}\) to nearest whole number

The fraction \(\frac{1}{8}=0.125\), so \(8\frac{1}{8}=8 + 0.125 = 8.125\). Rounding to the nearest whole number, since \(0.125<0.5\), we round down to \(8\).

Step2: Round \(1\frac{3}{5}\) to nearest whole number

The fraction \(\frac{3}{5}=0.6\), so \(1\frac{3}{5}=1 + 0.6 = 1.6\). Rounding to the nearest whole number, since \(0.6\geq0.5\), we round up to \(2\).

Step3: Add the rounded numbers

Now we add the rounded numbers: \(8 + 2 = 10\).

Answer:

10