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Which is the most accurate way to estimate 52%52\% of 7171?\newlineChoices:\newline(A) 14×72\frac{1}{4} \times 72\newline(B) 34×72\frac{3}{4} \times 72\newline(C) 23×72\frac{2}{3} \times 72\newline(D) 12×72\frac{1}{2} \times 72

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Q. Which is the most accurate way to estimate 52%52\% of 7171?\newlineChoices:\newline(A) 14×72\frac{1}{4} \times 72\newline(B) 34×72\frac{3}{4} \times 72\newline(C) 23×72\frac{2}{3} \times 72\newline(D) 12×72\frac{1}{2} \times 72
  1. Convert to decimal: Step 11: Convert 52%52\% to a decimal for easier calculation.\newlineCalculation: 52%=0.5252\% = 0.52
  2. Calculate 52%52\% of 7171: Step 22: Calculate 52%52\% of 7171 directly to compare with the choices.\newlineCalculation: 0.52×71=36.920.52 \times 71 = 36.92
  3. Evaluate choices: Step 33: Evaluate each choice to see which is closest to 36.9236.92.\newline(A) 14×72=0.25×72=18\frac{1}{4} \times 72 = 0.25 \times 72 = 18\newline(B) 34×72=0.75×72=54\frac{3}{4} \times 72 = 0.75 \times 72 = 54\newline(C) 23×72=0.67×72=48.24\frac{2}{3} \times 72 = 0.67 \times 72 = 48.24\newline(D) 12×72=0.5×72=36\frac{1}{2} \times 72 = 0.5 \times 72 = 36
  4. Compare results: Step 44: Compare the results from Step 33 with the direct calculation.\newlineClosest value to 36.9236.92 is 3636 from choice (D).

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