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Which is the most accurate way to estimate 49%49\% of 3939?\newlineChoices:\newline(A) 12×38\frac{1}{2} \times 38\newline(B) 12×37\frac{1}{2} \times 37\newline(C) 23×38\frac{2}{3} \times 38\newline(D) 23×37\frac{2}{3} \times 37

Full solution

Q. Which is the most accurate way to estimate 49%49\% of 3939?\newlineChoices:\newline(A) 12×38\frac{1}{2} \times 38\newline(B) 12×37\frac{1}{2} \times 37\newline(C) 23×38\frac{2}{3} \times 38\newline(D) 23×37\frac{2}{3} \times 37
  1. Convert to Decimal: First, let's convert 49%49\% into a decimal to make it easier to work with. 49%49\% equals 0.490.49.
  2. Multiply by 3939: Next, we need to multiply 0.490.49 by 3939 to find 49%49\% of 3939. So, 0.49×39=19.110.49 \times 39 = 19.11.
  3. Estimate Closest Value: Now, let's look at the choices given and estimate which one is closest to 19.1119.11: \newline(A) 12×38=19\frac{1}{2} \times 38 = 19 \newline(B) 12×37=18.5\frac{1}{2} \times 37 = 18.5 \newline(C) 23×38=25.33\frac{2}{3} \times 38 = 25.33 \newline(D) 23×37=24.67\frac{2}{3} \times 37 = 24.67
  4. Compare and Choose: Comparing the results, choice (A) 12×38=19\frac{1}{2} \times 38 = 19 is the closest estimate to 19.1119.11.