Which is the most accurate way to estimate 26% of 39? Choices: (A)1/4 × 40 (B)3/4 × 40 (C)1/2 × 40 (D)1/3 × 40

Calculate 26% of 39: Step 1: Calculate the exact value of 26% of 39. Reasoning: To find 26% of 39, multiply 39 by 0.26. Calculation: $ 39 \times 0.26 = 10.14 $Evaluate closest estimate: Step 2: Evaluate each choice to see which is closest to 10.14. Reasoning: Convert each fraction and multiplication to find the closest estimate. Calculation: (A) $ \frac{1}{4} \times 40 = 10 $ (B) $ \frac{3}{4} \times 40 = 30 $ (C) $ \frac{1}{2} \times 40 = 20 $ (D) $ \frac{1}{3} \times 40 \approx 13.33 $Compare with exact value: Step 3: Compare the results from Step 2 with the exact value from Step 1. Reasoning: The closest value to 10.14 among the choices is 10. Calculation: Choice (A) is 10, which is closest to 10.14.

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Which is the most accurate way to estimate $26\%$ of $39$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{4} \times 40$ $\newline$ (B) $\frac{3}{4} \times 40$ $\newline$ (C) $\frac{1}{2} \times 40$ $\newline$ (D) $\frac{1}{3} \times 40$

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Math Problems

Grade 7

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

26\%

39

\newline

Choices:

\newline

(A)

\frac{1}{4} \times 40

\newline

(B)

\frac{3}{4} \times 40

\newline

(C)

\frac{1}{2} \times 40

\newline

(D)

\frac{1}{3} \times 40

Calculate $26$ % of $39$ : Step $1$ : Calculate the exact value of $26$ % of $39$ . $\newline$ Reasoning: To find $26$ % of $39$ , multiply $39$ by $0$ . $26$ . $\newline$ Calculation: $39 \times 0.26 = 10.14$
Evaluate closest estimate: Step $2$ : Evaluate each choice to see which is closest to $10$ . $14$ . $\newline$ Reasoning: Convert each fraction and multiplication to find the closest estimate. $\newline$ Calculation: $\newline$ (A) $\frac{1}{4} \times 40 = 10$ $\newline$ (B) $\frac{3}{4} \times 40 = 30$ $\newline$ (C) $\frac{1}{2} \times 40 = 20$ $\newline$ (D) $\frac{1}{3} \times 40 \approx 13.33$
Compare with exact value: Step $3$ : Compare the results from Step $2$ with the exact value from Step $1$ . $\newline$ Reasoning: The closest value to $10.14$ among the choices is $10$ . $\newline$ Calculation: Choice (A) is $10$ , which is closest to $10.14$ .