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Chapter 7: Problem 46

Convert the decimal to a percent. $$0.33$$

Short Answer

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Step by step solution

01

Identify the decimal

Identify the given decimal number, which is 0.33.
02

Multiply by 100

To convert a decimal to a percent, multiply the decimal by 100. Calculate: \( 0.33 \times 100 \)
03

Add the percent sign

After multiplying, add the percent sign to the result. This will convert your result into a percentage form.

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Key Concepts

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

Decimal Conversion
Understanding how to convert a decimal into a percentage is an essential skill in math. It starts with identifying the decimal number you need to convert. Take, for example, the decimal 0.33. The process to convert this into a percentage can be broken down into simple, easy-to-follow steps.
Multiplication by 100
The crucial step in converting a decimal to a percentage involves multiplying the decimal by 100. This is because 'percent' means per hundred. Here's the mathematical way to think about it:

When you multiply 0.33 by 100, you are essentially shifting the decimal point two places to the right. So, the calculation goes like this:

\[ 0.33 \times 100 = 33 \ \] This transforms the value from its decimal form to a whole number, making it much easier to understand as a percentage.
Adding Percent Sign
The final step in the conversion process is to add the percent sign (%) at the end of your number. This signifies that the number is a percentage. So, after multiplying 0.33 by 100 to get 33, you now add the percent sign:

Consequently, 0.33 becomes 33% when converted to a percentage.

This simple addition finalizes the conversion, providing a clear and standard way to express the original decimal as a percentage.

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Most popular questions from this chapter

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