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Chapter 6: Problem 341

In the following exercises, convert each percent to a decimal. $$ 23 \% $$

Short Answer

Expert verified
0.23

Step by step solution

01

Understand Percent

Percent means 'per hundred,' so 23% means 23 per 100.
02

Remove Percent Sign

Drop the % symbol to work with just the number 23.
03

Divide by 100

To convert a percent to a decimal, divide by 100. So calculate \[23 \div 100 = 0.23\].

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Key Concepts

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

Percentages
A percentage is a way of expressing a number as a fraction of 100. The term comes from the Latin word 'per centum,' meaning 'by the hundred.' When you see a number followed by the % sign, it represents that many parts out of 100. For example, 23% means 23 out of every 100 units.

Percentages are commonly used in various fields such as finance, education, and statistics because they provide an easy way to compare values and understand proportions.

Understanding how to work with percentages is crucial as it helps in calculating discounts, interest rates, and many other daily life applications.
Decimal Conversion
Converting a percentage to a decimal is a fundamental skill in mathematics. To convert, you divide the percentage by 100. This process involves a simple shift of the decimal point two places to the left.

Let's go through the steps:
  • Step 1: Remove the % sign. For 23%, you get 23.
  • Step 2: Divide by 100. So, you calculate \(23 \div 100 = 0.23\).

Once converted, the result is a decimal that can be easily used in calculations. In our example, 23% becomes 0.23.
Division
Division is one of the basic arithmetic operations, and it's essential for converting percentages to decimals. In the conversion process, you use division to understand how many times 100 fits into the percentage value.

Here's a quick guide on performing the division:
  • Take the percentage value. In our case, it's 23.
  • Divide this by 100. So, the calculation is \(23 \div 100\), which gives 0.23.

By dividing, we essentially see how 23 out of 100 fits into a unit of 1. This calculation transforms the percentage into a decimal format, making it simpler to use in further mathematical applications.

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Most popular questions from this chapter

In the following exercises, solve the simple interest problem. Fresia lent her son \(\$ 5,000\) for college expenses. Three years later he repaid her the \(\$ 5,000\) plus \(\$ 375\) interest. What was the rate of interest?

In the following exercises, find the sales tax rate. Nahomi bought a purse for \(\$ 200 .\) The sales tax on the purchase was \(\$ 16.75\) .

In the following exercises, solve the percent problem. Oxana bought a dresser at a garage sale for \(\$ 20 .\) she refinished it, then added a 250\(\%\) markup before advertising it for sale. What price did she ask for the dresser?

Determine whether each equation is a proportion. $$ \frac{12}{18}=\frac{6.99}{10.99} $$

In the following exercises, solve the simple interest problem. Find the interest rate if \(\$ 2,898\) interest was earned from a principal of \(\$ 23,000\) invested for 3 years.
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