Which is the most accurate way to estimate 23% of 49? Choices: (A)1/4 × 51 (B)1/3 × 48 (C)1/4 × 48 (D)1/3 × 51

Calculate Percentage of 49: Calculate the exact value of 23% of 49. Calculation: $ 0.23 \times 49 = 11.27 $Evaluate Closest Estimate: Evaluate each choice to find the closest estimate to 11.27. (A) $ \frac{1}{4} \times 51 = 12.75 $ (B) $ \frac{1}{3} \times 48 = 16 $ (C) $ \frac{1}{4} \times 48 = 12 $ (D) $ \frac{1}{3} \times 51 = 17 $Compare Results: Compare the results from Step 2 with the exact value calculated in Step 1. - 12.75 is closer to 11.27 than 16, 12, or 17.

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Which is the most accurate way to estimate $23\%$ of $49$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{4} \times 51$ $\newline$ (B) $\frac{1}{3} \times 48$ $\newline$ (C) $\frac{1}{4} \times 48$ $\newline$ (D) $\frac{1}{3} \times 51$

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Math Problems

Grade 7

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

23\%

49

\newline

Choices:

\newline

(A)

\frac{1}{4} \times 51

\newline

(B)

\frac{1}{3} \times 48

\newline

(C)

\frac{1}{4} \times 48

\newline

(D)

\frac{1}{3} \times 51

Calculate Percentage of $49$ : Calculate the exact value of $23$ % of $49$ . $\newline$ Calculation: $0.23 \times 49 = 11.27$
Evaluate Closest Estimate: Evaluate each choice to find the closest estimate to $11$ . $27$ . $\newline$ (A) $\frac{1}{4} \times 51 = 12.75$ $\newline$ (B) $\frac{1}{3} \times 48 = 16$ $\newline$ (C) $\frac{1}{4} \times 48 = 12$ $\newline$ (D) $\frac{1}{3} \times 51 = 17$
Compare Results: Compare the results from Step $2$ with the exact value calculated in Step $1$ . $\newline$ - $12.75$ is closer to $11.27$ than $16$ , $12$ , or $17$ .