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Which is the most accurate way to estimate 50%50\% of 5757?\newlineChoices:\newline(A) 12×55\frac{1}{2} \times 55\newline(B) 14×55\frac{1}{4} \times 55\newline(C) 12×58\frac{1}{2} \times 58\newline(D) 14×58\frac{1}{4} \times 58

Full solution

Q. Which is the most accurate way to estimate 50%50\% of 5757?\newlineChoices:\newline(A) 12×55\frac{1}{2} \times 55\newline(B) 14×55\frac{1}{4} \times 55\newline(C) 12×58\frac{1}{2} \times 58\newline(D) 14×58\frac{1}{4} \times 58
  1. Understand Problem: Step 11: Understand the problem and identify the goal. We need to find the closest estimate to 50%50\% of 5757 from the given choices.
  2. Calculate 50%50\% of 5757: Step 22: Calculate 50%50\% of 5757 directly for comparison. 50%50\% of 5757 is 0.5×57=28.50.5 \times 57 = 28.5.
  3. Evaluate Choice (A): Step 33: Evaluate choice (A) 12×55\frac{1}{2} \times 55. Calculate 12×55=27.5\frac{1}{2} \times 55 = 27.5.
  4. Evaluate Choice (B): Step 44: Evaluate choice (B) 14×55\frac{1}{4} \times 55. Calculate 14×55=13.75\frac{1}{4} \times 55 = 13.75. This is too low, so it's not the best estimate.
  5. Evaluate Choice (C): Step 55: Evaluate choice (C) 12×58\frac{1}{2} \times 58. Calculate 12×58=29\frac{1}{2} \times 58 = 29.
  6. Evaluate Choice (D): Step 66: Evaluate choice (D) 14×58\frac{1}{4} \times 58. Calculate 14×58=14.5\frac{1}{4} \times 58 = 14.5. This is also too low, so it's not the best estimate.
  7. Compare Results: Step 77: Compare the results of the calculations to 28.528.5. Choice (C) 12×58=29\frac{1}{2} \times 58 = 29 is the closest to 28.528.5.

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