SAT Math : Percentage

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #51 : Percentage

What is \(\displaystyle 19.4\%\) in decimal form? 

Possible Answers:

\(\displaystyle 19.4\)

\(\displaystyle 0.00194\)

\(\displaystyle 0.194\)

\(\displaystyle 1.94\)

\(\displaystyle 0.0194\)

Correct answer:

\(\displaystyle 0.194\)

Explanation:

The correct answer is \(\displaystyle 0.194\)

This can be obtained by taking the percentage of \(\displaystyle 19.4\%\) and dividing by \(\displaystyle 100\).

This shifts the decimal place over two places to the left, which results in \(\displaystyle 0.194\) as the decimal of \(\displaystyle 19.4\%\).

Example Question #211 : Arithmetic

Find the decimal equivalent to the percentage:

\(\displaystyle 26\%\)

Possible Answers:

\(\displaystyle 0.26\)

\(\displaystyle 0.026\)

\(\displaystyle 2.6\)

\(\displaystyle 0.0026\)

Correct answer:

\(\displaystyle 0.26\)

Explanation:

In order to find the decimal equivalent of a percentage, the number that makes up the percent has to be divided by 100. However, since it is division by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the left, thus making the number smaller. For this problem, that looks like this:

\(\displaystyle 26\%\rightarrow0.26\)

Example Question #1 : Decimals And Percentage

Find the decimal equivalent to the percentage:

\(\displaystyle 2.53\%\)

Possible Answers:

\(\displaystyle 0.0253\)

\(\displaystyle 25.3\)

\(\displaystyle 0.00253\)

\(\displaystyle 0.253\)

Correct answer:

\(\displaystyle 0.0253\)

Explanation:

In order to find the decimal equivalent of a percentage, the number that makes up the percent has to be divided by 100. However, since it is division by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the left, thus making the number smaller. For this problem, that looks like this:

\(\displaystyle 2.53\%\rightarrow0.0253\)

Example Question #1 : How To Find Decimal Equivalent To A Percentage

Find the decimal equivalent to the percentage:

\(\displaystyle 450\%\)

Possible Answers:

\(\displaystyle 0.45\)

\(\displaystyle 4.5\)

\(\displaystyle 0.045\)

\(\displaystyle 45\)

Correct answer:

\(\displaystyle 4.5\)

Explanation:

In order to find the decimal equivalent of a percentage, the number that makes up the percent has to be divided by 100. However, since it is division by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the left, thus making the number smaller. For this problem, that looks like this:

\(\displaystyle 450\%\rightarrow4.5\)

Example Question #221 : Arithmetic

Find the decimal equivalent to the percentage:

\(\displaystyle 0.15\%\)

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle 0.0015\)

\(\displaystyle 0.015\)

\(\displaystyle 1.5\)

Correct answer:

\(\displaystyle 0.0015\)

Explanation:

In order to find the decimal equivalent of a percentage, the number that makes up the percent has to be divided by 100. However, since it is division by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the left, thus making the number smaller. For this problem, that looks like this:

\(\displaystyle 0.15\%\rightarrow0.0015\)

Example Question #222 : Arithmetic

Find the decimal equivalent to the percentage:

\(\displaystyle 12.7\%\)

Possible Answers:

\(\displaystyle 127\)

\(\displaystyle 0.127\)

\(\displaystyle 0.0127\)

\(\displaystyle 1.27\)

Correct answer:

\(\displaystyle 0.127\)

Explanation:

In order to find the decimal equivalent of a percentage, the number that makes up the percent has to be divided by 100. However, since it is division by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the left, thus making the number smaller. For this problem, that looks like this:

\(\displaystyle 12.7\%\rightarrow0.127\)

Example Question #223 : Arithmetic

Find the decimal equivalent of the percentage:

\(\displaystyle 37.1\%\)

Possible Answers:

\(\displaystyle 0.00371\)

\(\displaystyle 0.0371\)

\(\displaystyle 0.371\)

\(\displaystyle 3.71\)

Correct answer:

\(\displaystyle 0.371\)

Explanation:

In order to find the decimal equivalent of a percentage, the number that makes up the percent has to be divided by 100. However, since it is division by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the left, thus making the number smaller. For this problem, that looks like this:

\(\displaystyle 37.1\%\rightarrow0.371\)

Example Question #11 : Decimals And Percentage

Find the decimal equivalent of the percentage:

\(\displaystyle 18.9\%\)

Possible Answers:

\(\displaystyle 1.89\)

\(\displaystyle 0.0189\)

\(\displaystyle 0.189\)

\(\displaystyle 189\)

Correct answer:

\(\displaystyle 0.189\)

Explanation:

In order to find the decimal equivalent of a percentage, the number that makes up the percent has to be divided by 100. However, since it is division by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the left, thus making the number smaller. For this problem, that looks like this:

\(\displaystyle 18.9\%\rightarrow0.189\)

Example Question #12 : Decimals And Percentage

Find the decimal equivalent to the percentage:

\(\displaystyle 42.6\%\)

Possible Answers:

\(\displaystyle 4.26\)

\(\displaystyle 0.426\)

\(\displaystyle 426\)

\(\displaystyle 0.0426\)

Correct answer:

\(\displaystyle 0.426\)

Explanation:

In order to find the decimal equivalent of a percentage, the number that makes up the percent has to be divided by 100. However, since it is division by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the left, thus making the number smaller. For this problem, that looks like this:

\(\displaystyle 42.6\%\rightarrow0.426\)

Example Question #13 : Decimals And Percentage

Find the decimal equivalent of the percentage:

\(\displaystyle 92.3\%\)

Possible Answers:

\(\displaystyle 0.00923\)

\(\displaystyle 0.0923\)

\(\displaystyle 9.23\)

\(\displaystyle 0.923\)

Correct answer:

\(\displaystyle 0.923\)

Explanation:

In order to find the decimal equivalent of a percentage, the number that makes up the percent has to be divided by 100. However, since it is division by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the left, thus making the number smaller. For this problem, that looks like this:

\(\displaystyle 92.3\%\rightarrow0.923\)

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