Algebra 1 : How to find decimal equivalent to a percentage

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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

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

Possible Answers:

80

0.8

0.008

0.08

8

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

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

Express 32% in decimal form.

Possible Answers:

Correct answer:

Explanation:

To express a percentage as a decimal, imagine a decimal at the end of the percentage . Move the decimal over two places to the left, and you have the decimal expression of a percentage,

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

What is the simplest fraction that represents 88%?

Possible Answers:

Correct answer:

Explanation:

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

Example Question #1 : 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:

Correct answer:

Explanation:

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

 

Example Question #5 : How To Find Decimal Equivalent To A Percentage

Convert 74% to a decimal.  

Possible Answers:

Correct answer:

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

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

Fill in the missing information. 

Possible Answers:

Correct answer:

Explanation:

When reading  aloud it reads  out of , or "four tenths." This "four tenths" as a decimal is literally written

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 , the decimal moved results in 

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

Fill in the missing information. 

Possible Answers:

Correct answer:

Explanation:

When reading  aloud it reads  out of , or "six tenths." This "six tenths" as a decimal is literally written .

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 , the decimal moved results in  or 

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

Solve the problem and convert the answer to a percentage. 

Possible Answers:

Correct answer:

Explanation:

. To convert  to a percentage, the decimal is moved two places to the right, resulting in .

Alternatively, we would have converted the decimals to percetages from the beginnging. , to do this we started with the decimal numbers given and moved the decimal point to the right two places.  

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

Convert this percentage to a decimal. 

Possible Answers:

Correct answer:

Explanation:

Given the percentage , the decimal point must be moved two decimal places to the left, resulting in  

This decimal can further be written as fraction, 

which when reduced .

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

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

Convert the answer to a decimal. 

Possible Answers:

Correct answer:

Explanation:

First we must solve the problem: 

.

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 . After moving the decimal point we end up with  as our result. 

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