Percents and Decimals

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Basic Math › Percents and Decimals

Questions 1 - 10

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

$\small 242.04%$

$\small 2.42%$

$\small 242%$

$\small 24.20%$

$\small 0.02%$

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 $\small \frac{84}{100}$

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:

$\small 2.420398=242.0398%$

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.

What is as a percent?

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.

$71\rightarrow71%$

Change to a decimal.

Explanation

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

$78%\rightarrow78$

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

What is as a percent?

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.

$71\rightarrow71%$

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

$\small 242.04%$

$\small 2.42%$

$\small 242%$

$\small 24.20%$

$\small 0.02%$

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 $\small \frac{84}{100}$

$\small 2.420398=242.0398%$

$\small 242.0398%\Rightarrow242.04%$

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

Change to a decimal.

Explanation

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

$78%\rightarrow78$

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

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

$\small 242.04%$

$\small 2.42%$

$\small 242%$

$\small 24.20%$

$\small 0.02%$

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 $\small \frac{84}{100}$

$\small 2.420398=242.0398%$

$\small 242.0398%\Rightarrow242.04%$

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

Change to a decimal.