Problem 632 Convert each percent to a decima... [FREE SOLUTION]

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Chapter 1: Problem 632

Convert each percent to a decimal. $$ 71 \% $$

Short Answer

Expert verified

0.71

Step by step solution

Understand Percent to Decimal Conversion

A percent can be converted to a decimal by moving the decimal point two places to the left.

Move the Decimal Point

For 71%, move the decimal point two places to the left. Starting from 71, it becomes 0.71.

Remove the Percent Sign

After moving the decimal point, remove the percent sign to complete the conversion.

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Key Concepts

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

Decimal Point

When converting a percent to a decimal, the decimal point plays a crucial role. The decimal point separates the whole number part of a number from its fractional part. In our given exercise, we started with 71%. Although it doesn't show a decimal point, it is understood to be at the end of the number 71. So, you can imagine 71% as 71.0 to make it clearer. When working through the steps, you need to move this decimal point.
Here's a quick tip:

After finding the decimal point, move it two places to the left to convert from percent to decimal.

For example, in 71.0%, moving the decimal point two places to the left changes it to 0.71.

Percent Sign

The percent sign (%) represents a part out of a hundred. Whenever you see % attached to a number, it is showing how many parts out of 100 you have. For instance, 71% means 71 out of 100. To convert this into a decimal, you need to drop the percent sign at the end of the process.
Here's why:

Percentages make sense as parts per hundred, but decimals are part of our number system.

Removing the percent sign is a reminder that you have completed the conversion from a fraction-per-hundred to a regular decimal number. In our example, 71% becomes 0.71 after moving the decimal point.

Math Conversion Steps

Understanding the steps for converting percents to decimals is crucial, especially for math beginners. Let鈥檚 break down the steps involved in our exercise:

Step 1: Move the decimal point two places to the left. Percentages are out of 100, so moving the decimal point two places left turns the percentage into a decimal format.
Step 2: 71% can be thought of as 71.0 if it helps you visualize the decimal point. Move the decimal point two steps to the left, and it becomes 0.71.
Step 3: Remove the percent sign (%) since the conversion is complete. The number no longer represents parts-per-hundred, but a regular decimal number instead.

These steps make the conversion process easier to understand and execute. Practice these steps with different percentages to become more comfortable.

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91影视

Convert each percent to a decimal. $$ 71 \% $$

Short Answer

Step by step solution

Understand Percent to Decimal Conversion

Move the Decimal Point

Remove the Percent Sign

Key Concepts

Decimal Point

Percent Sign

Math Conversion Steps

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