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Algebra 1 : Decimals and Percentage

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Example Questions

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

Convert 0.4 to a percentage value.

Possible Answers:

$20\%$

$60\%$

$4\%$

$40\%$

Correct answer:

$40\%$

Explanation:

To find the percentage, take the decimal and multiply it by 100. Another way is to move the decimal to the right two places.

$0.40*100=40\%$

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

What decimal represents a quantity that has been reduced by $\frac{2}{3}$ ?

Possible Answers:

0.7

$0.\bar{3}$

None of the available answers

$0.\bar{6}$

0.3

Correct answer:

$0.\bar{3}$

Explanation:

If something is reduced by two thirds, the new quantity is:

$\frac{3}{3}-\frac{2}{3}=\frac{1}{3}$

This can be represented as a decimal $0.\bar{3}$ .

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Example Question #1 : Decimals And Percentage

Convert 0.093 to a percent

Possible Answers:

0.93%

9.3%

0.00093

none of these

93%

Correct answer:

9.3%

Explanation:

To transform 0.093 into a percent, move the decimal two digits to the right and then put in the '%' right after it. In our case 0.093=9.3%

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Example Question #2 : Decimals And Percentage

Convert 1.03 to a percent.

Possible Answers:

$10.3\ \%$

$0.103\ \%$

$1.03\ \%$

$103\ \%$

Correct answer:

$103\ \%$

Explanation:

To calculate a percent from a decimal, multiply by 100.

$1.03\times 100=103\ percent$

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

25 is what percent of 125?

Possible Answers:

None of the other answers are correct.

20%

.2%

25%

Correct answer:

20%

Explanation:

Write the statement as an equation and solve for :

25=125x

$\frac{25}{125}=\frac{125x}{125}$

.2=x

Multiply the decimal by 100 to convert the answer to a percent:

$.2\times 100=20\ percent$

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

Convert decimals to percentages.

0.0078

Possible Answers:

$0\small .078\%$

$0\small .78\%$

$\small 7\%$

$\small 7.8\%$

$\small 780\%$

Correct answer:

$0\small .78\%$

Explanation:

To convert a decimal to percentage simply move the decimal point to the right two decimal places.

Thus, $0\small \small .0078$ turns into $0.78\%$ .

In addition to this simple trick, one could also convert a decimal to a percentage by reading the decimal aloud. 0.0078 is read as "seventy-eight ten thousandths", this would look like $\small \frac{78}{10,000}$ . Since percentage is simply a representation of a part per hundred, if this fraction is reduced to a number over one hundred, we would get $\small \frac{0.78}{100}$ , thus 78%.

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

Convert decimal to percentage.

$0\small .048$

Possible Answers:

$0\small .488\%$

$0\small .0048\%$

$\small 4.8\%$

$\small 480\%$

$0\small .048\%$

Correct answer:

$\small 4.8\%$

Explanation:

Given $0\small .048$ , moving the decimal two places to the right result in $\small 4.8\%$ .

Also, this decimal number read aloud is "forty-eight thousandths" , which is $\small \small \frac{48}{1000}$ . Since percentages are representations of a part per hundred,when the fraction is simplified by dividing both the numerator and denomintaor by ten to reduce the fraction to be out of one hundred, the numerator is left at $\small 4.8$ , or $\small 4.8\%$ .

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

Convert decimal to percentage.

$\small 43.009$

Possible Answers:

$0\small .000439\%$

$4.333\%$

$\small 43\%$

$\small \small 4,300.9\%$

$0\small .4\%$

Correct answer:

$\small \small 4,300.9\%$

Explanation:

Given $\small 43.009$ , move the decimal point two places to the right, resulting in $4300.9\%$ .

Also, $\small 100\%$ is equivalent to $\small 1.0$ . Thus, $\small 43.009$ is roughly that $\small 1.0$ , or $\small 100\%$ , multipled by about 43. So we can expect our answer to be way over $\small 100\%$ !

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Example Question #9 : How To Find Percentage Equivalent To A Decimal

Solve the problem and convert the answer to a percentage.

$0\small .000070 + 0.000003 =$

Possible Answers:

$0\small .63\%$

$0\small .67\%$

$0\small .0073\%$

$0\small .0067\%$

$0\small .0006\%$

Correct answer:

$0\small .0073\%$

Explanation:

$0\small .000070 + 0.000003 = 0.000073.$ To convert decimal to percentage, move the decimal to places to the right, resulting in $0\small .0073\%.$

\Alternatively, we could convert the decimals to percentages from the beginning. $0\small .007\% + 0.0003\% = 0.0073\%$ .

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Example Question #10 : How To Find Percentage Equivalent To A Decimal

Convert decimal to percentage.

$0\small .4397 = \square$

Possible Answers:

$\small 43.97 \%$

$0\small .6\%$

$\small 4.39\%$

$\small 44\%$

$\small 439.7\%$

Correct answer:

$\small 43.97 \%$

Explanation:

$0\small .4397$ to a percentage is solved by moving the decimal point two places to the right, resulting in $\small 43.97\%$ .

This decimal read aloud reads "four thousand three hundred ninety seven ten thousandths", which in fraction form $\small \frac{4397}{10,000}$ , when reduced is $\small \small \frac{43.97}{100}$ , which is $\small \small 43.97\%$ .

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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 Percentage Equivalent To A Decimal

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

Example Question #1 : Decimals And Percentage

Example Question #2 : Decimals And Percentage

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

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

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

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

Example Question #9 : How To Find Percentage Equivalent To A Decimal

Example Question #10 : How To Find Percentage Equivalent To A Decimal

All Algebra 1 Resources

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