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Chapter 7: Problem 31

Change the percent to a decimal. $$58 \%$$

Short Answer

Expert verified
0.58

Step by step solution

01

Understand Percent

A percent represents a part out of 100. Thus, 58% means 58 out of 100.
02

Convert to Decimal Form

To convert a percent to a decimal, divide the percentage by 100. This is the same as moving the decimal point two places to the left.
03

Perform the Division

Divide 58 by 100: \[ 58 \times \frac{1}{100} = 0.58 \]

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Key Concepts

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

Understanding Percent
The term 'percent' comes from the Latin phrase 'per centum,' which means 'by the hundred.' It is denoted by the % symbol and represents a fraction of 100.
When we say 58%, we mean 58 parts out of 100. This quick and handy way to express portions is widely used in everyday situations, such as calculating discounts, interest rates, and statistics.
For example, if a store offers a 20% discount, it means that 20 out of every 100 parts of the original price are taken off.
Decimal Conversion
Converting a percent to a decimal is a fundamental math skill. It's simple: just divide the percentage number by 100. This can be visualized by moving the decimal point two places to the left.
For instance, let's take 58%:
  • Start with the number: 58
  • Divide by 100 (or move decimal two places left): 58 梅 100 = 0.58
  • So, 58% becomes 0.58 in decimal form
Why do we move the decimal point two places? Because dividing by 100 shifts the value lower by two orders of magnitude. Imagine shrinking a pie of 100 slices down to a pie with just 1 slice鈥攅ach piece becomes smaller.
Basic Arithmetic
Basic arithmetic involves simple mathematical operations like addition, subtraction, multiplication, and division. These operations are foundational for converting percents to decimals.
In our example of converting 58%, we use division:
  • Step: Divide 58 by 100
  • Mathematically represented: \(58 \times \frac{1}{100} = 0.58 \)
This operation is straightforward. Just remember that dividing by 100 is the same as multiplying by 0.01. Practice this with various percents to become comfortable with the process.
Having a firm grasp on basic arithmetic makes more complex mathematical tasks easier to handle, allowing you to solve a broader range of problems in math and beyond.

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Most popular questions from this chapter

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