Which is the most accurate way to estimate 49% of 99? Choices: (A)1/2 × 98 (B)2/3 × 98 (C)1/4 × 98 (D)3/4 × 98

Understand Problem: Step 1: Understand the problem and simplify the percentage calculation. 49% of 99 is approximately half of 99, since 49% is close to 50%. Calculation: 0.49 × 99 = 48.51Compare Choices: Step 2: Compare the simplified calculation with the choices. (A) 1/2 × 98 = 49 (B) 2/3 × 98 = 65.33 (C) 1/4 × 98 = 24.5 (D) 3/4 × 98 = 73.5Determine Closest Choice: Step 3: Determine which choice is closest to the simplified calculation of 48.51. Choice (A) 1/2 × 98 = 49 is the closest estimate to 48.51.

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Which is the most accurate way to estimate $49\%$ of $99$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{2} \times 98$ $\newline$ (B) $\frac{2}{3} \times 98$ $\newline$ (C) $\frac{1}{4} \times 98$ $\newline$ (D) $\frac{3}{4} \times 98$

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Math Problems

Grade 6

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

49\%

99

\newline

Choices:

\newline

(A)

\frac{1}{2} \times 98

\newline

(B)

\frac{2}{3} \times 98

\newline

(C)

\frac{1}{4} \times 98

\newline

(D)

\frac{3}{4} \times 98

Understand Problem: Step $1$ : Understand the problem and simplify the percentage calculation. $49\%$ of $99$ is approximately half of $99$ , since $49\%$ is close to $50\%$ . Calculation: $0.49 \times 99 = 48.51$
Compare Choices: Step $2$ : Compare the simplified calculation with the choices. $\newline$ (A) $\frac{1}{2} \times 98 = 49$ $\newline$ (B) $\frac{2}{3} \times 98 = 65.33$ $\newline$ (C) $\frac{1}{4} \times 98 = 24.5$ $\newline$ (D) $\frac{3}{4} \times 98 = 73.5$
Determine Closest Choice: Step $3$ : Determine which choice is closest to the simplified calculation of $48.51$ . Choice (A) $\frac{1}{2} \times 98 = 49$ is the closest estimate to $48.51$ .