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6.10: Small and Large Percents as Decimals

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Practice Small and Large Percents as Decimals
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Do you have a favorite color of jelly beans? Sasha loves red ones. Take a look.

Sasha loves jelly beans. In fact, she loves red jelly beans. When Sasha went to the candy store, she looked into a glass jar full of jelly beans and was shocked to discover that there were only a few red ones to be seen.

Because she was curious, Sasha bought a whole bag of the jelly beans.

When she got home, she counted 567 jelly beans.

There were only 2 red jelly beans in the whole bag.

Sasha wrote 2 out of 567 on a piece of paper.

Sasha wrote down .3\% .

Can you write this as percent as a decimal?

This Concept is about writing percents less than one as a decimal. You will learn how to do this in this Concept.

Guidance

Sometimes, we will have a percent that is part of one whole. These percents are a decimal that is a tiny percent.

Let's look at one.

.5\%

This is another way of saying \frac{1}{2} of a percent. It is smaller than one.

We can also have a percent that is greater than one hundred. This is a very large percent-so large that it is larger than one whole.

Here is one of those percents.

300\%

This percent is 300% or three times 100 percent. Wow! That is a large percentage!

Let’s look at changing these percents to decimals.

Think back, remember the steps?

  1. Drop the % sign.
  2. Move the decimal point two places to the right. Use zero placeholders as needed.

Now let's apply the steps.

Write .5\% as a decimal.

First, drop the percent sign.

.5

Next, move the decimal point two places to the left.

.005

The answer is .005 .

Write 350\% as a decimal.

First, drop the percent sign.

350

Next, move the decimal point two places to the left.

3.5

The answer is 3.5

Write each percent as a decimal.

Example A

.25\%

Solution: .0025

Example B

450\%

Solution: 4.5

Example C

675\%

Solution: 6.75

Here is the original problem once again.

Sasha loves jelly beans. In fact, she loves red jelly beans. When Sasha went to the candy store, she looked into a glass jar full of jelly beans and was shocked to discover that there were only a few red ones to be seen.

Because she was curious, Sasha bought a whole bag of the jelly beans.

When she got home, she counted 567 jelly beans.

There were only 2 red jelly beans in the whole bag.

Sasha wrote 2 out of 567 on a piece of paper.

Sasha wrote down .3\% .

Can you write this as percent as a decimal?

To write this as a decimal, we can drop the percent sign and move the decimal point two places to the left.

.3\% becomes .003

This is the answer.

Vocabulary

Decimal
It is a part of a whole. The numbers to the left of the decimal point represent whole quantities. The numbers to the right of the decimal point represent parts.
Percent
Percent means out of 100. It is a quantity written with a % sign.

Guided Practice

Here is one for you to try on your own.

A company which produces light bulbs is very proud of the fact that only 0.02% of each shipment is defective. Write this percent as a decimal.

Answer

To write this as a decimal we simply follow the steps. First, drop the percent sign.

.02

Next, move the decimal point two places to the left.

.0002

The answer is .0002.

Explore More

Directions : Rewrite each percent as a decimal.

1. .34%

2. .5%

3. 350%

4. 650%

5. .30%

6. .10%

7. .09%

8. .22%

9. 230%

10. 500%

11. 700%

12. .012%

13. .04%

14. .6%

15. .16%

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Difficulty Level:

At Grade

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Date Created:

Nov 30, 2012

Last Modified:

Nov 26, 2014
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