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Algebra 1 : Decimals and Percentage

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Example Questions

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

Fill in the missing information.

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

Possible Answers:

$\small 4.0$

0.40

$0\small .04$

$\small 4,000.0$

$\small 40.0$

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 #1 : How To Find Decimal Equivalent To A Percentage

Fill in the missing information.

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

Possible Answers:

600

6.60

0.60

0.40

6.0

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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Example Question #51 : Decimals And Percentage

Convert $\small 18.29\%$ to a decimal.

Possible Answers:

$\small 182.9$

$0\small .1829$

$\small 1829$

$0\small .01829$

Correct answer:

$0\small .1829$

Explanation:

To convert a percentage to a decimal, we simply move the decimal point two places to the left.

Alternatively, to convert from a decimal to a percentage, we would move the decimal place two decimal places the right.

But in this case, we are going from percentage to a decimal, so starting with $\small 18.29\%$ , moving the decimal places two places to the left would leave us with $0\small .1829.$

Another way to solve is to divide the percentage by one hundred:

$\frac{18.29}{100}=0.1829$

This is our answer.

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Example Question #51 : Decimals And Percentage

Find the decimal equivalent of the following percent:

$20\%$

Possible Answers:

0.2

0.002

0.02

2.0

Correct answer:

0.2

Explanation:

In order to find the decimal equivalent for a percent, all we have to do is divide our percent by 100. We can also move the decimal point to the left two spaces.

$20\%\rightarrow \frac{20}{100}=0.2$

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Example Question #52 : Decimals And Percentage

Find the decimal equivalent for the following percent:

$83\%$

Possible Answers:

0.00083

0.83

8.3

0.083

Correct answer:

0.83

Explanation:

In order to find the decimal equivalent for a percent, all we have to do is divide our percent by 100. We can also move the decimal point to the left two spaces.

$83\%\rightarrow \frac{83}{100}=0.83$

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Example Question #53 : Decimals And Percentage

Find the decimal equivalent of the following percent:

$67\%$

Possible Answers:

0.67

0.067

6.7

670

Correct answer:

0.67

Explanation:

In order to find the decimal equivalent for a percent, all we have to do is divide our percent by 100. We can also move the decimal point to the left two spaces.

$67\%\rightarrow \frac{67}{100}=0.67$

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Example Question #54 : Decimals And Percentage

Find the decimal equivalent of the following percent:

$26\%$

Possible Answers:

2.6

0.26

2600

260

Correct answer:

0.26

Explanation:

In order to find the decimal equivalent for a percent, all we have to do is divide our percent by 100. We can also move the decimal point to the left two spaces.

$26\%\rightarrow \frac{26}{100}=0.26$

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Algebra 1 : Decimals and 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 #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

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

Example Question #51 : Decimals And Percentage

Example Question #51 : Decimals And Percentage

Example Question #52 : Decimals And Percentage

Example Question #53 : Decimals And Percentage

Example Question #54 : Decimals And Percentage

All Algebra 1 Resources

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