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Chapter 7: Problem 33

Change the percent to a decimal. $$8.5 \%$$

Short Answer

Expert verified
0.085

Step by step solution

01

Understand the Percent

Percent means per hundred. So, 8.5% can be written as 8.5 per 100.
02

Write as a Fraction

To convert the percent to a fraction, write 8.5% as a fraction: \( \frac{8.5}{100} \)
03

Convert Fraction to Decimal

Divide the numerator by the denominator: \( \frac{8.5}{100} = 0.085 \)

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Key Concepts

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

Understanding Percent
A percent is simply a way to express a number as a part of a whole, specifically out of 100. The symbol % represents percent. For example, when we say 8.5%, we mean 8.5 out of 100. This concept is widely used in various fields such as finance, statistics, and everyday scenarios. Knowing that percent means 'per hundred' makes it easier to grasp conversions and calculations involving percents.
  • 8.5% = 8.5 per 100
  • 50% = 50 per 100
  • 25% = 25 per 100
.
Converting Percent to Fraction
Now that we understand what percent means, let's convert it to a fraction. This step makes it easier to work with the values, especially when performing further calculations. For 8.5%, you would write it as a fraction:
\(\frac{8.5}{100}\).
Here are the steps involved:
  • Write down the percent (8.5%) as the numerator (top number) in a fraction.
  • Write 100 as the denominator (bottom number) since 'percent' means 'per hundred'.
This gives us the fraction \(\frac{8.5}{100}\).
Converting Fraction to Decimal
To convert a fraction into a decimal, you divide the numerator by the denominator. In our case, we need to divide 8.5 by 100:
\[ \frac{8.5}{100} = 0.085 \]
This calculation transforms the fraction \(\frac{8.5}{100}\) into the decimal 0.085. This step is essential because decimals are often more intuitive and easier to use in calculations compared to fractions.
Here鈥檚 a quick recap:
  • Numerator: 8.5
  • Denominator: 100
  • Decimal form: 0.085
Mathematics in Everyday Life
Converting between percent, fractions, and decimals is a fundamental math skill that you will use frequently. Whether you are calculating discounts, determining interest rates, or simply understanding statistics, these conversions make various aspects of life easier to understand and navigate.
  • Shopping: Calculate discounts and sale prices.
  • Finance: Determine interest rates and investment growth.
  • Statistics: Understand data in reports and research.
Mastering these concepts will help you excel in mathematics and make informed decisions in everyday situations.

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Most popular questions from this chapter

The maximum recommended heart rate (in beats per minute) is given by 220 minus a person's age. For acrobic activity, it is recommended that individuals exercise at \(60 \%-85 \%\) of their maximum recommended heart rate. This is called the aerobic range. a. Find the maximum recommended heart rate for a 20 -year-old. b. Find the aerobic range for a 20 -year-old.

Is the number 0.052 less than or greater than \(50 \% ?\)

Convert the fraction to a percent. $$\frac{14}{9}$$

Solve the problem using a percent equation. What is \(32 \%\) of \(30 ?\)

Which of the numbers represent \(180 \% ?\) a. 18 b. 1.8 c. \(\frac{9}{5}\) d. \(\frac{9}{5} \%\)
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