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Chapter 6: Problem 26

In the following exercises, convert each percent to a decimal.

Short Answer

Expert verified
To convert a percent to a decimal, divide by 100.

Step by step solution

01

Understand the Percent

Percent means per hundred. So, 50% means 50 per hundred, 25% means 25 per hundred, and so on.
02

Remove the Percent Sign

Take the given percent value, let's say 50%, and write it without the percent sign: 50.
03

Divide by 100

Divide the value obtained in Step 2 by 100 to convert it to a decimal. For instance, 50 divided by 100 is 0.50.
04

Finalize the Decimal

Ensure the decimal is correctly placed and simplified if necessary. For 50%, it is 0.50; for 25%, it is 0.25.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Percent
To start converting percent to decimal, you need to understand what percent means.
Percent means 'per hundred.' It's like saying how many out of every 100.
For example, 50% means 50 out of 100, and 25% means 25 out of 100.
This concept helps us see that percent is just a specific type of fraction.
To visualize it, think of a pie chart where each percent represents a slice of the pie.
Once you grasp this idea, the next steps will make more sense and be easier to follow.
Dividing by 100
Next, you need to remove the percent sign and divide the number by 100.
When you have a percent value, like 50%, drop the percent sign to get 50.
Then, perform the division by 100.
This means you take the number without the percent sign and divide it by 100: 50 梅 100.
This calculation is essential because it helps convert the percent to its decimal form. You can think of dividing by 100 as moving the decimal point two places to the left.
So, 50 becomes 0.50 and 25 becomes 0.25.
Simplifying Decimals
The final step is to ensure the decimal is simplified.
Once you have divided by 100, check the decimal place to make sure it's correct.
For instance, when you convert 50% to a decimal, you get 0.50.
This can be simplified to 0.5 because the trailing zero does not change its value.
Similarly, 25% becomes 0.25, and there's no need for further simplification as it's already in its simplest form.
Simplifying decimals makes them easier to read and use in calculations.
Always ensure you have the decimal in the simplest form to avoid confusion in future steps.

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