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Which of the following options have the same value as 30% of 81 ? Choose 3 answers: A (30)/(100)*81 B 0.3*81 c 0.03*81 D (3)/(10)*81 E 30*81

Which of the following options have the same value as 30% 30 \% of 8181 ?\newlineChoose 33 answers:\newlineA 30100⋅81 \frac{30}{100} \cdot 81 \newlineB 0.3⋅81 0.3 \cdot 81 \newlinec 0.03⋅81 0.03 \cdot 81 \newlineD 310⋅81 \frac{3}{10} \cdot 81 \newlineE 30⋅81 30 \cdot 81

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Full solution

Q. Which of the following options have the same value as 30% 30 \% of 8181 ?\newlineChoose 33 answers:\newlineA 30100⋅81 \frac{30}{100} \cdot 81 \newlineB 0.3⋅81 0.3 \cdot 81 \newlinec 0.03⋅81 0.03 \cdot 81 \newlineD 310⋅81 \frac{3}{10} \cdot 81 \newlineE 30⋅81 30 \cdot 81
  1. Convert to Decimal: To find 30%30\% of 8181, we need to convert the percentage to a decimal and multiply it by 8181.\newline30%30\% as a decimal is 0.300.30.\newlineSo, 30%30\% of 8181 is 0.30×810.30 \times 81.
  2. Calculate 30%30\% of 8181: Now let's calculate 0.30×810.30 \times 81.\newline0.30×81=24.30.30 \times 81 = 24.3\newlineThis is the value we are looking for in the options.
  3. Evaluate Option A: Let's evaluate option A: (30)/(100)×81(30)/(100)\times 81.(30)/(100)(30)/(100) is another way of writing 30%30\%, which is 0.300.30. So, (30)/(100)×81=0.30×81=24.3(30)/(100)\times 81 = 0.30 \times 81 = 24.3 Option A is equivalent to 30%30\% of 8181.
  4. Evaluate Option B: Let's evaluate option B: 0.3×810.3\times81. 0.30.3 is the same as 0.300.30, which is 30%30\% as a decimal. So, 0.3×81=24.30.3\times81 = 24.3 Option B is equivalent to 30%30\% of 8181.
  5. Evaluate Option C: Let's evaluate option C: 0.03×810.03\times81. 0.030.03 is 3%3\% as a decimal, not 30%30\%. So, 0.03×81=2.430.03\times81 = 2.43 Option C is not equivalent to 30%30\% of 8181.
  6. Evaluate Option D: Let's evaluate option D: (3)/(10)×81(3)/(10)\times 81.(3)/(10)(3)/(10) is another way of writing 0.30.3, which is 30%30\% as a decimal. So, (3)/(10)×81=0.3×81=24.3(3)/(10)\times 81 = 0.3 \times 81 = 24.3 Option D is equivalent to 30%30\% of 8181.
  7. Evaluate Option E: Let's evaluate option E: 30×8130\times81. This is not 30%30\% of 8181; it's 3030 times 8181. So, 30×81=243030\times81 = 2430 Option E is not equivalent to 30%30\% of 8181.

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