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# 6.9: Decimals as Percents

Difficulty Level: At Grade Created by: CK-12
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Practice Decimals as Percents
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Have you ever eaten sour lemon candies? Have you ever counted them?

At the candy store, .125 of the jar of sour lemon candies were purchased by a customer. Jake was working at the time and was amazed that only a small portion of the lemon candies went home with the customer.

Can you write this decimal as a percent?

What percent of the jar was purchased?

To figure this out, you will need to know how to write decimals as percents. This Concept will teach you what you need to know.

### Guidance

Just like we can write percents as decimals, we can also write decimals as percents. You saw a situation like this in the last Concept. In a way, you reverse the steps from turning a percent to a decimal to turn a decimal to a percent.

Follow these steps to write a percent as a decimal

Step 1: Move the decimal point two places to the right. Add zeros to the right of the decimal point as placeholders, if necessary.

Step 2: Write a % symbol after the resulting number

Take a few minutes to write these notes in your notebook. Then continue.

Let’s apply these steps.

Write .78 as a percent.

This decimal is written in hundredths, so all we have to do is move the decimal two places to the right and add a percent sign.

\begin{align*}.78 = 78\%\end{align*}

Write .6 as a percent.

This decimal is written in tenths. When we move the decimal two places to the right, we will need to add a zero place holder.

\begin{align*}.6 = 60\%\end{align*}

Write .345 as a percent.

This decimal is written in thousandths. We only need to move the decimal two places to the right to make it a percent, so we will move it two places and add a percent sign.

\begin{align*}.345 = 34.5\%\end{align*}

Notice that sometimes we can have a decimal in a percent. It means that we have 34 and one-half percent in this case. Don’t let that throw you off-not all percents are whole percents!

Write each decimal as a percent.

#### Example A

\begin{align*}.45\end{align*}

Solution:\begin{align*}45%\end{align*}

#### Example B

\begin{align*}2.5\end{align*}

Solution:\begin{align*}250%\end{align*}

#### Example C

\begin{align*}.875\end{align*}

Solution:\begin{align*}87.5%\end{align*}

Here is the original problem once again.

At the candy store, .125 of the jar of sour lemon candies were purchased by a customer. Jake was working at the time and was amazed that only a small portion of the lemon candies went home with the customer.

Can you write this decimal as a percent?

What percent of the jar was purchased?

To write this as a percent, we know that we need to move the decimal point two places, representing hundredths, and add a percent sign.

\begin{align*}.125 = 12.5%\end{align*}

The customer purchased 12.5% of the lemon candies.

### Vocabulary

Here are the vocabulary words in this Concept.

Decimal
a number written according to place value. Numbers to the right of the decimal point represent parts of a whole. Numbers to the left of the decimal point represent whole numbers.
Percent
a part of a whole out of 100. Percents can be smaller than one represented by a decimal percent. They can also be greater than one hundred by having a decimal with a whole number and a part of a whole.

### Guided Practice

Here is one for you to try on your own.

Write 3.5 as a percent.

This decimal is written with a whole number and five tenths. We still move the decimal to the right two places. Notice that because we have a whole number that the percent will be greater than 100.

\begin{align*}3.5 = 350\%\end{align*}

### Video Review

Here is a video for review.

### Practice

Directions: Write the following decimals as percents.

1. .45

2. .3

3. .675

4. .9

5. .08

6. .785

7. .22

8. .095

9. .54

10. .275

11. .04

12. .045

13. .112

14. 4.6

15. .672

### Vocabulary Language: English

Decimal

Decimal

In common use, a decimal refers to part of a whole number. The numbers to the left of a decimal point represent whole numbers, and each number to the right of a decimal point represents a fractional part of a power of one-tenth. For instance: The decimal value 1.24 indicates 1 whole unit, 2 tenths, and 4 hundredths (commonly described as 24 hundredths).
Equivalent

Equivalent

Equivalent means equal in value or meaning.
fraction

fraction

A fraction is a part of a whole. A fraction is written mathematically as one value on top of another, separated by a fraction bar. It is also called a rational number.
Percent

Percent

Percent means out of 100. It is a quantity written with a % sign.

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