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Which is the most accurate way to estimate 26%26\% of 3939?\newlineChoices:\newline(A) 14×40\frac{1}{4} \times 40\newline(B) 34×40\frac{3}{4} \times 40\newline(C) 12×40\frac{1}{2} \times 40\newline(D) 13×40\frac{1}{3} \times 40

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Q. Which is the most accurate way to estimate 26%26\% of 3939?\newlineChoices:\newline(A) 14×40\frac{1}{4} \times 40\newline(B) 34×40\frac{3}{4} \times 40\newline(C) 12×40\frac{1}{2} \times 40\newline(D) 13×40\frac{1}{3} \times 40
  1. Calculate 2626% of 3939: Step 11: Calculate the exact value of 2626% of 3939.\newlineReasoning: To find 2626% of 3939, multiply 3939 by 00.2626.\newlineCalculation: 39×0.26=10.14 39 \times 0.26 = 10.14
  2. Evaluate closest estimate: Step 22: Evaluate each choice to see which is closest to 1010.1414.\newlineReasoning: Convert each fraction and multiplication to find the closest estimate.\newlineCalculation: \newline(A) 14×40=10 \frac{1}{4} \times 40 = 10 \newline(B) 34×40=30 \frac{3}{4} \times 40 = 30 \newline(C) 12×40=20 \frac{1}{2} \times 40 = 20 \newline(D) 13×4013.33 \frac{1}{3} \times 40 \approx 13.33
  3. Compare with exact value: Step 33: Compare the results from Step 22 with the exact value from Step 11.\newlineReasoning: The closest value to 10.1410.14 among the choices is 1010.\newlineCalculation: Choice (A) is 1010, which is closest to 10.1410.14.

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