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Chapter 7: Problem 38

Change the percent to a decimal. $$0.75 \%$$

Short Answer

Expert verified
0.0075

Step by step solution

01

- Understand Percent Conversion

To convert a percent to a decimal, remove the percent sign and divide the number by 100.
02

- Remove the Percent Sign

First, take the given percent value, which is 0.75%, and remove the percent sign. Now you have 0.75.
03

- Divide by 100

Next, divide 0.75 by 100. Formula: \(\text{decimal value} = \frac{\text{percent value}}{100}\). Substituting the given value, \(\text{decimal value} = \frac{0.75}{100}\)
04

- Perform the Division

Perform the division: \(0.75 \times \frac{1}{100} = 0.0075\)

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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. It is denoted using the percent sign (%). For example, 50% represents 50 out of every 100 parts. Percentages are used extensively in everyday life鈥攖o express discounts, interest rates, and more. They make it easy to understand proportions at a glance.
To convert a percentage to a decimal, you simply divide by 100. Think of it this way: 'per cent' means 'per hundred'.

For example:
  • 50% is equivalent to 50/100 or 0.50
  • 25% is equivalent to 25/100 or 0.25
Learning how to move between percentages and decimals lets you solve many types of math problems more easily.
decimals
Decimals are a way of representing fractions or parts of a whole using the base-ten system. Each place value to the right of the decimal point represents a power of 1/10. For example, in the number 0.75, the '7' is in the tenths place (0.7 or 7/10), and the '5' is in the hundredths place (0.05 or 5/100).
Decimals are versatile and useful in various applications鈥攆rom measuring quantities to representing money. Converting a decimal back to a percentage is simple: multiply the decimal by 100 and add the percent sign (%). For example:
  • 0.75 converts to 75%
  • 0.0075 converts to 0.75%
Understanding decimals helps you precisely represent fractions and easily convert between other numerical forms like percentages and fractions.
basic arithmetic
Basic arithmetic involves simple mathematical operations like addition, subtraction, multiplication, and division. These operations are essential tools for everyday calculations.
For example, converting percentages to decimals involves basic arithmetic, specifically division.
Here's a quick reminder on how to do it:
To convert 0.75% to a decimal, divide by 100. The arithmetic looks like this:
  • First, remove the percent sign: 0.75
  • Then, divide by 100: 0.75 梅 100 = 0.0075
This simple division is a foundational skill you'll use repeatedly in math and real-world scenarios. Basic arithmetic is a building block for understanding more complex math and helps you make quick, accurate calculations.

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Most popular questions from this chapter

During a 5 -year period, the number of participants collecting food stamps went from 27 million to 17 million. What is the percent decrease? Round to the nearest whole percent.

Write the fraction in percent notation to the nearest tenth of a percent. $$\frac{1}{13}$$

Write the fraction in percent notation to the nearest tenth of a percent. $$\frac{13}{15}$$

Convert the decimal to a percent. $$0.0008$$

What fraction represents \(50 \%\)
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