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Chapter 6: Problem 24

Find decimal notation. $$ 87.99 \% $$

Short Answer

Expert verified
0.8799

Step by step solution

01

Understand the percentage

A percentage is a way of expressing a number as a fraction of 100. The symbol % means 'per hundred.' So, 87.99% means 87.99 per hundred.
02

Convert percentage to fraction

To convert 87.99% to a fraction, divide it by 100. This is done as follows: \[87.99\ \frac{\text{%}}{100} = \frac{87.99}{100}\]
03

Simplify the fraction to a decimal

To simplify the fraction \(\frac{87.99}{100}\), perform the division. Divide 87.99 by 100 to get the decimal form: \[87.99 \text{divided by } 100 = 0.8799\]

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Key Concepts

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

Percentage Conversion
Percentage conversion is about transforming a number expressed as a percentage into another form, often a fraction or a decimal.
The term 'percentage' comes from 'per cent,' meaning 'per hundred.' So when you see something like 87.99%, it means 87.99 out of 100.
To convert a percentage to a fraction, you simply place the number over 100. For instance, 87.99% becomes \(\frac{87.99}{100}\).
Once the number is in fraction form, it's easier to convert it to a decimal by performing the division.
Understanding percentage conversion is very useful in everyday life, like calculating discounts or interest rates.
Fraction to Decimal
Converting a fraction to a decimal is a simple but important skill in basic mathematics.
A fraction, like \(\frac{87.99}{100}\), tells you to divide the numerator (the top number) by the denominator (the bottom number).
So for our example, we divide 87.99 by 100 to get 0.8799.
You can usually do this division using a calculator, but understanding the process will help you grasp the concept better.
Fractions can often be easier to work with when converted to decimals, especially in more complex mathematical equations.
Basic Mathematics
Basic mathematics involves fundamental concepts such as addition, subtraction, multiplication, and division.
These core principles are essential for tackling more advanced math challenges.
When working with percentages, fractions, and decimals, you use various basic math operations.
For example, to convert a percentage to a decimal, you need to know how to divide (as in \(\frac{87.99}{100} = 0.8799\)).
It's also crucial to understand the relationships between these different forms of numbers.
Practicing these basic skills makes more complex problems easier to solve. Good understanding of basic mathematics forms the foundation for a broad range of other concepts.

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Most popular questions from this chapter

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