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Algebra 1 : How to find decimal equivalent to a percentage

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

Which of the following numbers is the decimal equivalent of 80%?

Possible Answers:

0.8

0.08

0.008

Correct answer:

0.8

Explanation:

80% can be thought of as 80% of one. Percents also refer to numbers out of 100, thus, our decimal can be calculated by taking 80/100. This would result in 8/10 after simplifying, which is equivalent to 0.8.

80% = 80/100 = 8/10 = "eight tenths," or 0.8

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Example Question #2 : How To Find Decimal Equivalent To A Percentage

Express 32% in decimal form.

Possible Answers:

32.0

3.2

Correct answer:

Explanation:

To express a percentage as a decimal, imagine a decimal at the end of the percentage $\left ( 32.\% \right )$ . Move the decimal over two places to the left, and you have the decimal expression of a percentage,

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Example Question #3 : How To Find Decimal Equivalent To A Percentage

What is the simplest fraction that represents 88%?

Possible Answers:

$\frac{88}{100}$

$\frac{22}{25}$

$\frac{44}{50}$

$\frac{4.5}{5}$

$44\%\ of\ 50$

Correct answer:

$\frac{22}{25}$

Explanation:

The word percent, or per cent, means of every one hundred, so 88% can be expressed:

$88\%=\frac{88}{100}=\frac{2\cdot 44}{4\cdot 50}=\frac{44}{50} =\frac{2\cdot 22}{2\cdot 25}=\frac{22}{25}$

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Example Question #2 : How To Find Decimal Equivalent To A Percentage

Andre borrows $80 from you. If he pays you back 40% of that money, how much money is he giving you?

Possible Answers:

$\$40$

$\$44$

$\$60$

$\$52$

$\$32$

Correct answer:

$\$32$

Explanation:

To find 40% of $80, you must turn 40% into a decimal.

$40\%=\frac{40}{100}=0.4$

$0.4\times80=32$

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Example Question #4 : How To Find Decimal Equivalent To A Percentage

Convert 74% to a decimal.

Possible Answers:

0.074

0.74

740

7.4

Correct answer:

0.74

Explanation:

The decimal in 74% is located between the 4 and the '%'. So think of 74% as 74.0%. Then move that decimal point two digits to the left and erase the '%' so that it is written as 0.74

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Example Question #6 : How To Find Decimal Equivalent To A Percentage

Fill in the missing information.

$\small \frac{4}{10}= \square = 40\%$

Possible Answers:

$\small 4,000.0$

$\small 4.0$

$0\small .04$

0.40

$\small 40.0$

Correct answer:

0.40

Explanation:

When reading $\small \frac{4}{10}$ aloud it reads out of $\small 10$ , or "four tenths." This "four tenths" as a decimal is literally written $\small 0.40$ .

We could also use the other term given to find our answer. Decimals are found from percentages by moving the decimal point two places to the left. Given $\small 40\%$ , the decimal moved results in $\small 0.40$ .

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Example Question #7 : How To Find Decimal Equivalent To A Percentage

Fill in the missing information.

$\small \frac{6}{10} = \square = 60\%$

Possible Answers:

0.60

6.60

6.0

600

0.40

Correct answer:

0.60

Explanation:

When reading $\frac{6}{10}$ aloud it reads out of , or "six tenths." This "six tenths" as a decimal is literally written 0.60 .

We could also use the other term given to find our answer. Decimals are found from percentages by moving the decimal point two places to the left. Given $60\%$ , the decimal moved results in 0.600 or 0.6 .

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

Solve the problem and convert the answer to a percentage.

$\small 1.18-0.30 = \square$

Possible Answers:

$12\%$

$0\small .30\%$

$\small 1.48\%$

$86\%$

$\small 88\%$

Correct answer:

$\small 88\%$

Explanation:

$\small 1.18 -0.30 = 0.88$ . To convert $\small .88$ to a percentage, the decimal is moved two places to the right, resulting in $\small 88\%$ .

Alternatively, we would have converted the decimals to percetages from the beginnging. $\small 118\% - 30\% = 88\%$ , to do this we started with the decimal numbers given and moved the decimal point to the right two places.

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

Convert this percentage to a decimal.

$45.29\%$

Possible Answers:

$0\small .6504$

$\small 452.9$

$\small 4.529$

0.423

$0\small .4529$

Correct answer:

$0\small .4529$

Explanation:

Given the percentage $\small 43.29\%$ , the decimal point must be moved two decimal places to the left, resulting in 0.4329.

This decimal can further be written as fraction,

$\small \frac{4329}{10,000}$ which when reduced $\small = \frac{43.29}{100}$ .

Since percentages represent part of a whole, or part of 100, 43.29 is the final answer.

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

Convert the answer to a decimal.

$\small \small \small 100\% - 38\% - 12\% = ?$

Possible Answers:

$0\small .5$

0.8

$0\small .66$

$0\small .33$

Correct answer:

$0\small .5$

Explanation:

First we must solve the problem:

$\small \small 100\% - 38\% - 12\% = 50\%$ .

Now to convert the percentage to a decimal all we do is move the decimal point two decimal places to the left. In this case, we began with $\small 50.0$ . After moving the decimal point we end up with $\small 0.500$ as our result.

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Algebra 1 : How to find decimal equivalent to a percentage

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

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

Example Question #2 : How To Find Decimal Equivalent To A Percentage

Example Question #3 : How To Find Decimal Equivalent To A Percentage

Example Question #2 : How To Find Decimal Equivalent To A Percentage

Example Question #4 : How To Find Decimal Equivalent To A Percentage

Example Question #6 : How To Find Decimal Equivalent To A Percentage

Example Question #7 : How To Find Decimal Equivalent To A Percentage

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

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

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

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