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Chapter 7: Problem 13

Convert the percent to a decimal. $$100 \%$$

Short Answer

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Step by step solution

01

- Understand the Percent

Percent means per hundred. So, 100% is equal to 100 out of 100 or 100/100.
02

- Divide by 100

To convert a percent to a decimal, divide the percent value by 100. For 100%, calculate 100 divided by 100.
03

- Perform the Calculation

Calculate 100 divided by 100: 100 梅 100 = 1.

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Key Concepts

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

Percent
When you see a value expressed as a percent, it simply means a part out of a hundred. The word 'percent' originates from the Latin words 'per centum,' which means 'by the hundred.' For example, if you have 50%, it is equivalent to having 50 parts out of 100 parts. Think of it as a way to express fractions or portions easily. Instead of saying 'fifty out of a hundred,' you can just say '50%.' This is very useful in various real-life scenarios, such as calculating discounts during shopping, analyzing statistics, and understanding probabilities.
Decimal Conversion
Converting a percent to a decimal is all about understanding the relationship between the two representations. Since percent means 'per hundred,' you simply divide the percent value by 100 to get the decimal form. For example, converting 75% to a decimal involves dividing 75 by 100, which results in 0.75.

  • Step 1: Take the percent value (e.g., 75%).
  • Step 2: Divide it by 100 (e.g., 75 梅 100).
  • Step 3: The result is the decimal equivalent (e.g., 0.75).
Remember, the decimal format is another way of representing fractions. It's just simpler to use in different mathematical operations, like addition and multiplication.
Division
Division is a basic arithmetic operation you need to understand to convert a percent to a decimal. When you divide, you are essentially distributing a number into equal parts. For example, dividing 100 by 100 means you are splitting 100 into 100 equal parts, each worth 1. In the context of percent to decimal conversion:

  • Determine the percent value (e.g., 100%).
  • Divide this value by 100 (e.g., 100 梅 100).
  • The result of the division gives you the decimal form (e.g., 1).
This simple division might seem trivial, but it's a critical step in converting percentages to decimals accurately. The division operation helps you transition from a 'per hundred' format to a more versatile decimal format.

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Most popular questions from this chapter

Solve the problem using a percent equation. What percent of 140 is \(28 ?\)

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