6.10: Small and Large Percents as Decimals
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
There were only
Sasha wrote 2 out of 567 on a piece of paper.
Sasha wrote down
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.
This is another way of saying
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.
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?
- Drop the % sign.
- Move the decimal point two places to the right. Use zero placeholders as needed.
Now let's apply the steps.
Write
First, drop the percent sign.
Next, move the decimal point two places to the left.
The answer is
Write
First, drop the percent sign.
Next, move the decimal point two places to the left.
The answer is 3.5
Write each percent as a decimal.
Example A
Solution:
Example B
Solution:
Example C
Solution:
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
There were only
Sasha wrote 2 out of 567 on a piece of paper.
Sasha wrote down
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.
This is the answer.
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.
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.
Next, move the decimal point two places to the left.
The answer is .002.
Practice
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%