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Basic Arithmetic : Changing View

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #1 : Changing A Decimal To A Percent

Convert 3.15 to a percent.

Possible Answers:

$3.15\%$

$31.5\%$

$0.315\%$

$315\%$

Correct answer:

$315\%$

Explanation:

To convert a decimal into percent, multiply the decimal by 100 and then add a "%" sign.

$3.15\times100=315$

Add a % sign.

$315\%$

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Example Question #2 : Changing A Decimal To A Percent

What is 0.49 as a percent?

Possible Answers:

$490\%$

$4.9\%$

$49\%$

$0.49\%$

Correct answer:

$49\%$

Explanation:

To change a demical to a percent, multiply the decimal by 100 and then add the percent sign.

$0.49\times100 = 49$

Add the percent sign.

$49\rightarrow49\%$

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Example Question #2 : Changing A Decimal To A Percent

What is 0.87 as a percent?

Possible Answers:

$87\%$

$870\%$

$0.87\%$

$8.7\%$

Correct answer:

$87\%$

Explanation:

To change a decimal into a percent, start by multiplying the decimal by 100.

$0.87\times100=87$

Then, add a percent sign to the end of that number.

$87\rightarrow87\%$

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Example Question #3 : Changing A Decimal To A Percent

What is 0.71 as a percent?

Possible Answers:

$7.1\%$

$71\%$

$710\%$

$0.71\%$

Correct answer:

$71\%$

Explanation:

To change a decimal into a percent, start by multiplying the decimal by 100.

$0.71\times100=71$

Then add a percent sign to the end of the number.

$71\rightarrow71\%$

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Example Question #5 : Changing View

What is 0.54 as a percent?

Possible Answers:

$540\%$

$0.54\%$

$5.4\%$

$54\%$

Correct answer:

$54\%$

Explanation:

To change a decimal into a percent, multiply the decimal by 100 then add the percent sign.

$0.54\times100=54$

$54\rightarrow 54\%$

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Example Question #6 : Changing View

Change 0.99 into a percent.

Possible Answers:

$0.99\%$

$990\%$

$99\%$

$9.9\%$

Correct answer:

$99\%$

Explanation:

To change a decimal into a percent, multiply the decimal by 100 then add a percent sign at the end of that number.

$0.99\times100=99$

$99\rightarrow99\%$

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Example Question #31 : Percents And Decimals

What is 0.95254 expressed as a percentage rounded to the nearest tenth?

Possible Answers:

$\small 95.3\%$

$\small 95.25\%$

$\small 100\%$

$\small \small 0.95\%$

$\small \small 95\%$

Correct answer:

$\small 95.3\%$

Explanation:

Percents are numbers expressing parts of $\small 100$ : $\small \small 1\%$ means $\small 1$ part of $\small 100$ , or $\small \frac{1}{100}$ .

The simplest way to convert a decimal to a percentage is to move the decimal place over two places to the right. We move the decimal point to after the hundredths place because we are rewriting the decimal as a portion of $\small 100$ . Therefore:

$\small 0.9525=95.25\%$

Now, we need to round the percentage to the nearest tenth. The number after the tenths place is a five, so we need to round up:

$\small 95.25\%\Rightarrow95.3\%$

$\small 95.3\%$ is therefore our final answer.

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Example Question #8 : Changing View

What is $\small 2.420398$ expressed as a percentage rounded to the nearest hundredth?

Possible Answers:

$\small 242.04\%$

$\small 2.42\%$

$\small 24.20\%$

$\small 0.02\%$

$\small 242\%$

Correct answer:

$\small 242.04\%$

Explanation:

Percents are numbers expressing parts of $\small 100$ : $\small \small 84\%$ is the same thing as saying $\small 84$ parts of $\small 100$ or $\small \frac{84}{100}$

$\small 2.420398=242.0398\%$

In everyday usage, percents usually are between $\small \small 0\%$ and $\small 100\%$ . However, when a number is greater than $\small 1$ , it's corresponding percentage is going to be greater than $\small 100\%$ . The next step of this problem is to round the percentage we have to the nearest hundredth. The number in the thousandths place is $\small 9$ , therefore, we're going to round up:

$\small 242.0398\%\Rightarrow242.04\%$

$\small 242.04\%$ is therefore our final answer.

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Example Question #7 : Changing View

Change $78\%$ to a decimal.

Possible Answers:

0.078

7.8

0.78

Correct answer:

0.78

Explanation:

To change a percent to a decimal, drop the "%" sign then divide by 100.

$78\%\rightarrow78$

$\frac{78}{100}=0.78$

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Example Question #1 : Changing A Percent To A Decimal

What is $74\%$ as a decimal?

Possible Answers:

0.074

7.4

0.74

740.0

Correct answer:

0.74

Explanation:

To change a percent by the decimal, first drop the percent sign.

$74\%\rightarrow74$

Then, divide the number by 100.

$74\div100=0.74$

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Basic Arithmetic : Changing View

Study concepts, example questions & explanations for Basic Arithmetic

All Basic Arithmetic Resources

Example Questions

Example Question #1 : Changing A Decimal To A Percent

Example Question #2 : Changing A Decimal To A Percent

Example Question #2 : Changing A Decimal To A Percent

Example Question #3 : Changing A Decimal To A Percent

Example Question #5 : Changing View

Example Question #6 : Changing View

Example Question #31 : Percents And Decimals

Example Question #8 : Changing View

Example Question #7 : Changing View

Example Question #1 : Changing A Percent To A Decimal

All Basic Arithmetic Resources

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