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:

0.008

0.8

8

80

0.08

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 #2 : How To Find Decimal Equivalent To A Percentage

Express 32% in decimal form.

Possible Answers:

\(\displaystyle .32\)

\(\displaystyle .68\)

\(\displaystyle 32.0\)

\(\displaystyle 3.2\)

\(\displaystyle .032\)

Correct answer:

\(\displaystyle .32\)

Explanation:

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

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

What is the simplest fraction that represents 88%?

Possible Answers:

\(\displaystyle 44\%\ of\ 50\)

\(\displaystyle \frac{44}{50}\)

\(\displaystyle \frac{22}{25}\)

\(\displaystyle \frac{88}{100}\)

\(\displaystyle \frac{4.5}{5}\)

Correct answer:

\(\displaystyle \frac{22}{25}\)

Explanation:

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

\(\displaystyle 88\%=\frac{88}{100}=\frac{2\cdot 44}{4\cdot 50}=\frac{44}{50} =\frac{2\cdot 22}{2\cdot 25}=\frac{22}{25}\)

Example Question #4 : 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:

\(\displaystyle \$44\)

\(\displaystyle \$32\)

\(\displaystyle \$52\)

\(\displaystyle \$40\)

\(\displaystyle \$60\)

Correct answer:

\(\displaystyle \$32\)

Explanation:

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

\(\displaystyle 40\%=\frac{40}{100}=0.4\)

\(\displaystyle 0.4\times80=32\)

 

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

Convert 74% to a decimal.  

Possible Answers:

\(\displaystyle 7.4\)

\(\displaystyle 0.074\)

\(\displaystyle 0.74\)

\(\displaystyle 74\)

\(\displaystyle 740\)

Correct answer:

\(\displaystyle 0.74\)

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

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

Fill in the missing information. 

\(\displaystyle \small \frac{4}{10}= \square = 40\%\)

Possible Answers:

\(\displaystyle \small 4.0\)

\(\displaystyle 0.40\)

\(\displaystyle 0\small .04\)

\(\displaystyle \small 4,000.0\)

\(\displaystyle \small 40.0\)

Correct answer:

\(\displaystyle 0.40\)

Explanation:

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

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 \(\displaystyle \small 40\%\), the decimal moved results in \(\displaystyle \small 0.40\)

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

Fill in the missing information. 

\(\displaystyle \small \frac{6}{10} = \square = 60\%\)

Possible Answers:

\(\displaystyle 600\)

\(\displaystyle 6.60\)

\(\displaystyle 0.60\)

\(\displaystyle 0.40\)

\(\displaystyle 6.0\)

Correct answer:

\(\displaystyle 0.60\)

Explanation:

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

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 \(\displaystyle 60\%\), the decimal moved results in \(\displaystyle 0.600\) or \(\displaystyle 0.6\)

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

Solve the problem and convert the answer to a percentage. 

\(\displaystyle \small 1.18-0.30 = \square\)

Possible Answers:

\(\displaystyle 12\%\)

\(\displaystyle 0\small .30\%\)

\(\displaystyle \small 1.48\%\)

\(\displaystyle 86\%\)

\(\displaystyle \small 88\%\)

Correct answer:

\(\displaystyle \small 88\%\)

Explanation:

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

Alternatively, we would have converted the decimals to percetages from the beginnging. \(\displaystyle \small 118\% - 30\% = 88\%\), 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. 

\(\displaystyle 45.29\%\)

Possible Answers:

\(\displaystyle 0\small .6504\)

\(\displaystyle \small 452.9\)

\(\displaystyle \small 4.529\)

\(\displaystyle 0.423\)

\(\displaystyle 0\small .4529\)

Correct answer:

\(\displaystyle 0\small .4529\)

Explanation:

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

This decimal can further be written as fraction, 

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

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

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

Convert the answer to a decimal. 

\(\displaystyle \small \small \small 100\% - 38\% - 12\% = ?\)

Possible Answers:

\(\displaystyle 0.8\)

\(\displaystyle 0\small .33\)

\(\displaystyle 0\small .5\)

\(\displaystyle 0\small .66\)

Correct answer:

\(\displaystyle 0\small .5\)

Explanation:

First we must solve the problem: 

\(\displaystyle \small \small 100\% - 38\% - 12\% = 50\%\).

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 \(\displaystyle \small 50.0\). After moving the decimal point we end up with \(\displaystyle \small 0.500\) as our result. 

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