Which of the following options has the same value as 20% of 45? Choose 3 answers: (A) (20)/(45)*100 (B) (1)/(5)*45 (C) 20*45 (D) (20)/(100)*45 (E) 0.2*45

Understand the meaning: Understand the meaning of 20% of a number. 20% of a number means 20 per 100 of that number, which can be written as (20/100) times the number.Convert to fraction and multiply: Convert the percentage to a fraction and multiply by 45. 20% as a fraction is 20/100, so 20% of 45 is (20/100) * 45.Simplify the expression: Simplify the expression from Step 2. (20/100) * 45 simplifies to (1/5) * 45 because 20/100 reduces to 1/5.Calculate the value: Calculate the value of the simplified expression. (1/5) * 45 = 9.Compare with options: Compare the options to the simplified expression (1/5) * 45. Option A: (20/45)*100 is not equivalent to (1/5)*45. Option B: (1/5)*45 is exactly the expression we have, so it is equivalent. Option C: 20*45 is not a percentage of 45, it's a multiplication, so it's not equivalent. Option D: (20/100)*45 is the same as (1/5)*45 after simplifying, so it is equivalent. Option E: 0.2*45 is equivalent because 0.2 is the decimal form of 20%.

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Which of the following options has the same value as $20\%$ of $45$ ? $\newline$ Choose $3$ answers: $\newline$ (A) $\frac{20}{45}\times100$ $\newline$ (B) $\frac{1}{5}\times45$ $\newline$ (C) $20\times45$ $\newline$ (D) $\frac{20}{100}\times45$ $\newline$ (E) $0.2\times45$

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Math Problems

Grade 8

Divide numbers written in scientific notation

Full solution

Q. Which of the following options has the same value as

20\%

45

\newline

Choose

3

answers:

\newline

(A)

\frac{20}{45}\times100

\newline

(B)

\frac{1}{5}\times45

\newline

(C)

20\times45

\newline

(D)

\frac{20}{100}\times45

\newline

(E)

0.2\times45

Understand the meaning: Understand the meaning of $20\%$ of a number. $\newline$ $20\%$ of a number means $20$ per $100$ of that number, which can be written as $(\frac{20}{100})$ times the number.
Convert to fraction and multiply: Convert the percentage to a fraction and multiply by $45$ . $20\%$ as a fraction is $\frac{20}{100}$ , so $20\%$ of $45$ is $(\frac{20}{100}) \times 45$ .
Simplify the expression: Simplify the expression from Step $2$ . $\newline$ $(\frac{20}{100}) \times 45$ simplifies to $(\frac{1}{5}) \times 45$ because $\frac{20}{100}$ reduces to $\frac{1}{5}$ .
Calculate the value: Calculate the value of the simplified expression. $(\frac{1}{5}) \times 45 = 9$ .
Compare with options: Compare the options to the simplified expression $(\frac{1}{5}) \times 45$ . $\newline$ Option A: $(\frac{20}{45})\times100$ is not equivalent to $(\frac{1}{5})\times45$ . $\newline$ Option B: $(\frac{1}{5})\times45$ is exactly the expression we have, so it is equivalent. $\newline$ Option C: $20\times45$ is not a percentage of $45$ , it's a multiplication, so it's not equivalent. $\newline$ Option D: $(\frac{20}{100})\times45$ is the same as $(\frac{1}{5})\times45$ after simplifying, so it is equivalent. $\newline$ Option E: $0.2\times45$ is equivalent because $0.2$ is the decimal form of $(\frac{20}{45})\times100$ $0$ .