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Chapter 6: Problem 25

In the following exercises, convert each percent to a decimal. $$5 \%$$

Short Answer

Expert verified
5% as a decimal is 0.05.

Step by step solution

01

Understanding Percent

A percent represents a part of 100. For instance, 5% is equivalent to 5 out of 100 or 5/100.
02

Converting Percent to Fraction

To convert 5% into a fraction, write it as 5/100.
03

Simplifying the Fraction

The fraction 5/100 can be simplified to get a simpler fraction, but it's useful to proceed to conversion directly.
04

Converting Fraction to Decimal

To convert the fraction 5/100 to a decimal, divide the numerator by the denominator: i.e., \[5 \text{ divided by } 100 = 0.05\]

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Key Concepts

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

percent
Percent means 'per hundred.' When you see a percent, it tells you how many parts out of 100 you have. For example, 5% means 5 out of every 100. This concept is central to understanding many other mathematical topics, such as fractions and decimals.
Learning about percent is essential because it's used in many real-life scenarios like calculating discounts, interest rates, and statistics. Whenever you see a percent sign (%), remember it means 'out of 100.'
To convert a percent to another form, you often start by expressing it as a fraction. For example, 5% can be written as 5/100.
fractions
Fractions represent parts of a whole. They consist of two numbers separated by a slash:
  • The top number is called the numerator.
  • The bottom number is called the denominator.
If you have 5%, you can express this percent as a fraction where the numerator is 5 and the denominator is 100, thus 5/100. This method of converting percentages to fractions is straightforward and lays the groundwork for understanding decimal conversion.
Simplifying fractions can sometimes make them easier to work with, but in some conversion processes, going directly to the decimal can be more efficient.
decimal conversion
Decimal conversion turns fractions into their decimal forms. When you have a fraction like 5/100, you're essentially dividing the numerator by the denominator. So for 5/100, you divide 5 by 100 to get 0.05.
Decimals are very useful because they are easier to use in calculations and more intuitive for many people. When working with percentages, converting to decimals often simplifies math tasks.
Knowing how to convert between percent, fractions, and decimals ensures that you can handle different kinds of math problems with ease.

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Most popular questions from this chapter

In the following exercises, solve. The nutrition label on a package of granola bars says that each granola bar has 190 calories and 54 calories are from fat. What percent of the total calories is from fat?

The price of a share of one stock rose from \(\$ 12.50\) to \(\$ 50\) .Find the percent increase.

In the following exercises, solve. One granola bar has 2 grams of fiber, which is 8\(\%\) of the recommended daily amount. What is the total recommended daily amount of fiber?

In the following exercises, solve each proportion. $$ \frac{7}{a}=\frac{-6}{84} $$

According to Time magazine (7/19/2011) annual global seafood consumption rose from 22 pounds per person in 1960 to 38 pounds per person today. Find the percent increase. (Round to the nearest tenth of a percent.)
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