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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3031 : Algebra 1

Convert $0.2\%$ to a decimal rounded to one decimal place

Possible Answers:

0.2

0.002

0.0002

0.02

Correct answer:

0.002

Explanation:

To convert a percentage to a decimal, simply take the number and divide it by 100.

$\frac{0.2}{100}$

0.002

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Example Question #53 : How To Find Decimal Equivalent To A Percentage

Convert $0.04\%$ to a decimal.

Possible Answers:

0.04

0.00004

0.4

0.0004

0.004

Correct answer:

0.0004

Explanation:

Regardless if the percentage has a decimal in it or not, to convert a percent to a decimal take the percentage and divide it by 100.

$\frac{0.04}{100}$

0.0004

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Example Question #54 : How To Find Decimal Equivalent To A Percentage

$$What is the decimal equivalent of: $ $ $ \frac{1}{5}*80\% $ $ $ $ ?$

Possible Answers:

0.8

0.016

0.20

1.6

0.16

Correct answer:

0.16

Explanation:

First multiple the percentage by the fraction:

$\frac{1}{5}\cdot80\%=\frac{80}{5}\%=16\%$

Then divide the percentage value by 100 to get the decimal equivalent

16/100=0.16

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Example Question #104 : Decimals And Percentage

Convert the decimal to a percent:

0.55

Possible Answers:

50%

5.5%

55%

0.55%

Correct answer:

55%

Explanation:

To convert the decimal to a percent, move the decimal to the right two places, or multiply it by 100.

$0.55\times100=55$

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Example Question #1 : How To Find Fractional Percentages

Rewrite $21\tfrac{1}{3}\%$ as a fraction in lowest terms.

Possible Answers:

$\small \small \frac{23}{99}$

$\small \frac{16}{75}$

$\small \frac{21}{100}$

$\small \frac{32}{125}$

$\small \frac{2}{9}$

Correct answer:

$\small \frac{16}{75}$

Explanation:

$\small \small 21\tfrac{1}{3}$ % $\small = \small \small \frac{21\frac{1}{3}}{100} = 21\frac{1}{3} \div 100 = \frac{64}{3} \div \frac{100}{1} = \frac{64}{3} \cdot \frac{1}{100}$

Cross-cancel by dividing 64 and 100 by 4:

$\small \small \frac{64}{3} \cdot \frac{1}{100} = \frac{16}{3} \cdot \frac{1}{25} = \frac{16}{75}$ ,

which is the fraction we want.

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Example Question #2 : How To Find Fractional Percentages

What is $\frac{1}{7} \%$ of 154,000 ?

Possible Answers:

2,200

220

22,000

2.2

Correct answer:

220

Explanation:

$\frac{1}{7} \%$ of 154,000 can be calculated as follows.

First, we need to convert $\frac{1}{7} \%$ into a fraction that we can use in calculations. The percentage symbol tells us that the value is divided by 100 .

$\frac{1}{7}\% =\frac{\frac{1}{7}}{100}$

Now we can multiply our given value by this fraction to find our answer.

$\frac{\left (\frac{1}{7}) \right }{100}*154,000=\frac{\left (\frac{1}{7})*154,000 \right }{100}= \frac{22,000}{100}=220$

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Example Question #3 : How To Find Fractional Percentages

What is $\frac{1}{2}$ % of $\frac{1}{3}$ ?

Possible Answers:

$\frac{1}{6}$

$\frac{1}{1,500}$

$\frac{1}{150}$

$\frac{1}{6,000}$

$\frac{1}{600 }$

Correct answer:

$\frac{1}{600 }$

Explanation:

Set up a proportion statement:

$\frac{\frac{1}{2}}{100} = \frac{N}{\frac{1}{3}}$

Cross-multiply and solve for :

$N \cdot 100 = \frac{1}{2} \cdot \frac{1}{3}$

$N \cdot 100 = \frac{1}{6}$

$N \cdot 100 \cdot \frac{1}{100} = \frac{1}{6} \cdot \frac{1}{100}$

$N = \frac{1}{600}$

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Example Question #4 : How To Find Fractional Percentages

$\frac{1}{5}$ is what percent of $1 \frac{2}{5}$ ?

Possible Answers:

$18 \frac{1}{4}$ %

$28 \frac{4}{7}$ %

$22 \frac{1}{5}$ %

$17 \frac{1}{2}$ %

$14 \frac{2}{7}$ %

Correct answer:

$14 \frac{2}{7}$ %

Explanation:

Set up a proportion statement:

$\frac{P}{100} = \frac{\frac{1}{5}}{1 \frac{2}{5}}$

Simplify the right side and solve for :

$\frac{P}{100} = \frac{1}{5} \div 1 \frac{2}{5} = \frac{1}{5} \div \frac{7}{5} = \frac{1}{5} \cdot \frac{5}{7} = \frac{1}{7}$

$\frac{P}{100} \cdot 100 = \frac{1}{7}\cdot 100$

$P= \frac{100}{7} = 14 \frac{2}{7}$

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Example Question #5 : How To Find Fractional Percentages

What percent of 0.6 is 0.0003?

Possible Answers:

0.02 %

2 %

0.002 %

0.05 %

0.5 %

Correct answer:

0.05 %

Explanation:

Let be the percent. Then

$P = \frac{ 0.0003}{0.6} \cdot100 = 0.05$

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Example Question #6 : How To Find Fractional Percentages

What is $1 \frac{1}{4}$ % of $1 \frac{1}{4}$ ?

Possible Answers:

$\frac{1}{64}$

$15\frac{5}{8}$

$\frac{1}{640}$

$1\frac{9}{16}$

$\frac{1}{6,400}$

Correct answer:

$\frac{1}{64}$

Explanation:

Set up the proportion statement:

$\frac{N}{1\frac{1}{4}} = \frac{1\frac{1}{4}}{100}$

Cross-multply and solve for :

$100 N=1 {\frac{1}{4}} \cdot 1{\frac{1}{4}} = {\frac{5}{4}} \cdot {\frac{5}{4}}$

$100 N= {\frac{25}{16}}$

$\frac{1}{100} \cdot 100 N=\frac{1}{100} \cdot {\frac{25}{16}}$

$N =\frac{1}{100} \cdot {\frac{25}{16}}= \frac{1}{4} \cdot {\frac{1}{16}}= \frac{1}{64}$

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #3031 : Algebra 1

Example Question #53 : How To Find Decimal Equivalent To A Percentage

Example Question #54 : How To Find Decimal Equivalent To A Percentage

Example Question #104 : Decimals And Percentage

Example Question #1 : How To Find Fractional Percentages

Example Question #2 : How To Find Fractional Percentages

Example Question #3 : How To Find Fractional Percentages

Example Question #4 : How To Find Fractional Percentages

Example Question #5 : How To Find Fractional Percentages

Example Question #6 : How To Find Fractional Percentages

All Algebra 1 Resources

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