Which is the most accurate way to estimate 33% of 17? Choices: (A)1/3 × 20 (B)1/2 × 20 (C)1/3 × 18 (D)1/2 × 18

Understand Problem: Step 1: Understand the problem and simplify the percentage. 33% is approximately 1/3, so we need to find which option best estimates 1/3 of 17.Evaluate Choices: Step 2: Evaluate each choice. (A) 1/3 × 20 = 6.67 (B) 1/2 × 20 = 10 (C) 1/3 × 18 = 6 (D) 1/2 × 18 = 9Compare Results: Step 3: Compare the results with the actual value. 1/3 of 17 is about 5.67. Comparing this with the results from Step 2, option (C) 1/3 × 18 = 6 is the closest.

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Which is the most accurate way to estimate $33\%$ of $17$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{3} \times 20$ $\newline$ (B) $\frac{1}{2} \times 20$ $\newline$ (C) $\frac{1}{3} \times 18$ $\newline$ (D) $\frac{1}{2} \times 18$

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Math Problems

Grade 6

Estimate percents of numbers

Full solution

Q. Which is the most accurate way to estimate

33\%

17

\newline

Choices:

\newline

(A)

\frac{1}{3} \times 20

\newline

(B)

\frac{1}{2} \times 20

\newline

(C)

\frac{1}{3} \times 18

\newline

(D)

\frac{1}{2} \times 18

Understand Problem: Step $1$ : Understand the problem and simplify the percentage. $33\%$ is approximately $\frac{1}{3}$ , so we need to find which option best estimates $\frac{1}{3}$ of $17$ .
Evaluate Choices: Step $2$ : Evaluate each choice. $\newline$ (A) $\frac{1}{3} \times 20 = 6.67$ $\newline$ (B) $\frac{1}{2} \times 20 = 10$ $\newline$ (C) $\frac{1}{3} \times 18 = 6$ $\newline$ (D) $\frac{1}{2} \times 18 = 9$
Compare Results: Step $3$ : Compare the results with the actual value. $\newline$ $\frac{1}{3}$ of $17$ is about $5.67$ . Comparing this with the results from Step $2$ , option (C) $\frac{1}{3} \times 18 = 6$ is the closest.