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Chapter 6: Problem 62

In the following exercises, convert each decimal to a percent. $$2.2$$

Short Answer

Expert verified
220%

Step by step solution

01

Understanding the Percent Conversion

To convert a decimal number to a percent, the decimal needs to be multiplied by 100.
02

Multiply by 100

Take the decimal number 2.2 and multiply it by 100. \[ 2.2 \times 100 = 220 \]
03

Add the Percent Symbol

After performing the multiplication, add the percent symbol (%) to the result. Therefore, 2.2 in decimal form is equal to 220% in percent form.

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Key Concepts

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

decimal to percent
Converting a decimal to a percent might seem tricky at first, but it's quite simple. Decimals and percents are two ways to represent the same value. A decimal represents a part of a whole number, and a percent represents that same part out of 100.
For instance, let's consider the decimal 0.5. This means you have 5 parts out of 10, which is the same as 50 parts out of 100. Therefore, 0.5 can be converted to 50%. Understanding this relationship is the first step in converting any decimal number to a percent.
multiplication by 100
The key step in converting a decimal to a percent is to multiply by 100. The process is straightforward:
  • Take the decimal number.
  • Multiply it by 100.
  • Write the result.
This multiplication shifts the decimal point two places to the right.
For example, to convert the decimal 2.2 to a percent, multiply it by 100:
\( 2.2 \times 100 = 220 \).
This step transforms the decimal number into a whole number, preparing it for the final step in the conversion process.
adding percent symbol
After you've multiplied the decimal by 100, the final step is to add the percent symbol (%).
This indicates that your number is now a percent. In other words, it's part of the whole 100.
Continuing with our example of 2.2, after multiplying by 100 to get 220, you simply place the '%' symbol next to the number.
Therefore, 2.2 as a decimal becomes 220%.
Remember, the percent symbol is essential because it tells us that the number is a part out of 100. Without it, your conversion is incomplete.

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