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Chapter 6: Problem 58

In the following exercises, convert each decimal to a percent. $$0.008$$

Short Answer

Expert verified
0.8%

Step by step solution

01

- Understand the Task

The task is to convert the decimal 0.008 to a percentage. To do this, recall that percentage means per hundred.
02

- Multiply by 100

To convert the decimal to a percent, multiply the decimal number by 100. This is because 'percent' means 'per 100'.
03

- Perform the Multiplication

Multiply 0.008 by 100: \(0.008 \times 100 = 0.8\)
04

- Add a Percent Symbol

Finally, add the percent symbol '%' to the result from the previous step: 0.8%.

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Key Concepts

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

Decimal Conversion
Converting decimals to percentages is a useful skill in both math and everyday life. A decimal represents a part of a whole number. For example, 0.008 means that you have 8 thousandths of a whole. To change this decimal into a percentage, which is often more understandable, you need to perform a few steps.
Percentage Calculation
A percentage is a way of expressing a number as a fraction of 100. It literally means 'per hundred'. To convert a decimal to a percentage, you can follow a simple rule: multiply the decimal number by 100. This process translates the fraction into a percent, showing you how many parts out of 100 you have.
Let鈥檚 look at our example:
  • You start with the decimal number: 0.008
  • To convert this into a percentage, multiply by 100
  • This gives you: 0.008 脳 100 = 0.8

    • So, 0.008 as a percentage is 0.8%. It鈥檚 that simple!
Multiplication by 100
Multipling by 100 is essential in converting decimals to percentages. It鈥檚 quite straightforward since multiplying any number by 100 shifts the decimal point two places to the right. This shift transforms the decimal into a whole number percentage.

For instance:
  • Start with 0.008
  • Shift the decimal two places to the right: it becomes 0.8

This is equal to multiplying 0.008 by 100. This method quickly shows the percentage equivalent of any decimal number. Try practicing this method with different decimals to get comfortable with the process.

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Most popular questions from this chapter

In the following exercises, solve the simple interest problem. Brent invested \(\$ 23,000\) in a friend's business. In 5 years the friend paid him the \(\$ 23,000\) plus \(\$ 9,200\) interest. What was the rate of interest?

In the following exercises, solve the simple interest problem. Find the simple interest earned after 7 years on \(\$ 12,000\) invested at an interest rate of 8.5\(\% .\)

In the following exercises, solve the percent problem. Solve for a: \(\frac{12}{a}=\frac{-15}{65}\)

Dimple gets paid \(\$ 3,200\) per month. She pays \(\$ 960\) a month for rent. What percent of her monthly pay goes to rent?

Annual student fees at the University of California rose from about \(\$ 4,000\) in 2000 to about \(\$ 9,000\) in 2014 . Find the percent increase.
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