Question

which is the most accurate way to estimate 31% of 700? options: 4/5 × 710, 3/10 × 710, 9/10 × 710, 3/4 × 710

Explanation:

Step1: Convert 31% to fraction

31% is $\frac{31}{100} = 0.31$. Now convert each fraction to decimal:

• $\frac{4}{5}=0.8$, $\frac{3}{10}=0.3$, $\frac{9}{10}=0.9$, $\frac{3}{4}=0.75$.

Step2: Find closest decimal to 0.31

0.3 (from $\frac{3}{10}$) is closest to 0.31. So $\frac{3}{10}×710$ (note: 700≈710 for estimation) is most accurate.

Answer:

The option with $\frac{3}{10} \times 710$ (identify by its fraction $\frac{3}{10}$ and multiplier 710, e.g., the second option if ordered as A:$\frac{4}{5}×710$, B:$\frac{3}{10}×710$, C:$\frac{9}{10}×710$, D:$\frac{3}{4}×710$ would be B. Option Text)