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Chapter 6: Problem 57

In the following exercises, convert each decimal to a percent. $$0.009$$

Short Answer

Expert verified
0.009 is 0.9%.

Step by step solution

01

Understand the Conversion Factor

To convert a decimal to a percent, multiply the decimal number by 100.
02

Apply the Conversion Factor

Multiply the decimal number 0.009 by 100.\[0.009 \times 100 = 0.9\]
03

Express as a Percentage

After multiplying, you obtain 0.9. This number is the percent value.\[ 0.009 = 0.9\%\]

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Key Concepts

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

Converting Decimals
Decimals are a key part of math that we encounter often. Converting a decimal to a percent is a common task. To convert a decimal into a percent, you can use a simple process.
First, remember that a decimal represents a part of a whole. For example, the decimal 0.5 means 50 out of 100. Therefore, converting a decimal to a percent involves shifting the position of the decimal point.
This shift happens because the word 'percent' means 'per hundred.' So, you're finding out how many parts out of 100 the decimal represents.
Multiplication
Understanding multiplication is essential for converting decimals to percentages. When you multiply a decimal by 100, you're shifting the decimal point two places to the right.
Here鈥檚 how it works:
  • If you multiply 0.009 by 100, you move the decimal point from 0.009 two places to the right, making it 0.9.
  • This transformation is a straightforward yet crucial operation in mathematics.
Multiplication helps you scale a decimal up to a percentage, making it easier to understand and use in different contexts.
Percentages
Percentages are a very handy way of expressing proportions. They show how much of something there is, comparing to the whole.
When you convert 0.009 to 0.9%, you鈥檙e showing what part of 100 the decimal represents.
This makes it simpler to grasp. Why? Because seeing a percentage like 0.9% is more relatable than a small decimal like 0.009.
  • Percentages can help you make sense of data, understand probabilities, and compare different quantities easily.
  • They are widely used in daily life鈥� for example, in finance to show interest rates or in statistics to show data distributions.
Learning to convert decimals to percentages can help make these comparisons quick and intuitive.

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Most popular questions from this chapter

In the following exercises, find (a) the amount of discount and the amount of discount and (b) the discount rate. the discount rate. (Round to the nearest tenth of a percent if needed.) Bill found a book he wanted on sale for \(\$ 20.80 .\) The original price of the book was \(\$ 32\) .

In the following exercises, find (a) the amount of discount and (b) the sale price. Colleen bought a suit that was discounted 25\(\%\) from an original price of \(\$ 245\) .

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

In the following exercises, solve the problem using the simple interest formula. Diego invested \(\$ 6,100\) in a 9 -month certificate of deposit paying 1.8\(\%\) interest. How much interest did he earn form this investment?

In the following exercises, determine whether each equation is a proportion. $$ \frac{5}{13}=\frac{30}{78} $$
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