Which is the most accurate way to estimate 51% of 71? Choices: (A)1/3 × 69 (B)1/2 × 69 (C)1/3 × 72 (D)1/2 × 72

Calculate 51% of 71: Step 1: Calculate 51% of 71 directly to compare with the choices. Calculation: 51% of 71 = 0.51 × 71 = 36.21Evaluate choices: Step 2: Evaluate each choice to see which is closest to 36.21. (A) 1/3 × 69 = 0.333... × 69 ≈ 23 (B) 1/2 × 69 = 0.5 × 69 = 34.5 (C) 1/3 × 72 = 0.333... × 72 ≈ 24 (D) 1/2 × 72 = 0.5 × 72 = 36Compare results: Step 3: Compare the results from Step 2 with the direct calculation from Step 1. - Choice (A) gives 23, which is far from 36.21. - Choice (B) gives 34.5, which is closer but not the closest. - Choice (C) gives 24, which is also far from 36.21. - Choice (D) gives 36, which is the closest to 36.21.

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Math Problems

Grade 6

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

51\%

71

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Choices:

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(A)

\frac{1}{3} \times 69

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(B)

\frac{1}{2} \times 69

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(C)

\frac{1}{3} \times 72

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(D)

\frac{1}{2} \times 72

Calculate $51\%$ of $71$ : Step $1$ : Calculate $51\%$ of $71$ directly to compare with the choices. $\newline$ Calculation: $51\%$ of $71 = 0.51 \times 71 = 36.21$
Evaluate choices: Step $2$ : Evaluate each choice to see which is closest to $36.21$ . $\newline$ (A) $\frac{1}{3} \times 69 = 0.333\ldots \times 69 \approx 23$ $\newline$ (B) $\frac{1}{2} \times 69 = 0.5 \times 69 = 34.5$ $\newline$ (C) $\frac{1}{3} \times 72 = 0.333\ldots \times 72 \approx 24$ $\newline$ (D) $\frac{1}{2} \times 72 = 0.5 \times 72 = 36$
Compare results: Step $3$ : Compare the results from Step $2$ with the direct calculation from Step $1$ . $\newline$ - Choice (A) gives $23$ , which is far from $36.21$ . $\newline$ - Choice (B) gives $34.5$ , which is closer but not the closest. $\newline$ - Choice (C) gives $24$ , which is also far from $36.21$ . $\newline$ - Choice (D) gives $36$ , which is the closest to $36.21$ .