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Chapter 6: Problem 12

Find decimal notation. $$ 80 \% $$

Short Answer

Expert verified
0.8

Step by step solution

01

Understand Percent

Percent means 'per hundred.' So, 80% means 80 per 100.
02

Convert Percent to Fraction

Write the percent as a fraction: \[ \frac{80}{100} \]
03

Simplify if necessary

In this case, \[ \frac{80}{100} = \frac{4}{5} \]. But we are looking for decimal notation, so we won't simplify.
04

Convert Fraction to Decimal

Divide the numerator by the denominator: \[ \frac{80}{100} = 0.8 \]

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Key Concepts

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

percent to decimal conversion
Converting a percent to a decimal is a fundamental skill in math. It simplifies many calculations and problem-solving tasks. The key idea is that percent means 'per hundred'.
To convert from percent to decimal, follow these steps:
  • Remove the percent sign (%)
  • Divide the number by 100
For example, to convert 80% to a decimal:
1. Remove the percent sign: 80
2. Divide by 100: 80 梅 100 = 0.8
And that's it! The decimal representation of 80% is 0.8.
fractions
Fractions are used to represent parts of a whole. They consist of a numerator (top number) and a denominator (bottom number).
In our example, we converted 80% to the fraction \(\frac{80}{100}\). This fraction shows that 80 out of 100 parts make up the whole.
While simplifying fractions is a good practice in math, sometimes the context, like converting to a decimal, means we don't need to simplify. For instance, though \(\frac{80}{100} = \frac{4}{5}\) by simplification, we're more interested in directly converting it to 0.8.
Understanding fractions helps in recognizing equivalent values and performing conversions between different forms, such as from percent to decimal.
basic math skills
Basic math skills, including addition, subtraction, multiplication, and division, are essential for solving more complex problems.
In our example, the key skill was division鈥攕pecifically dividing 80 by 100 to convert the percent to a decimal. Practicing basic division helps in understanding and executing such conversions efficiently. Always remember:
  • Division helps break down numbers into smaller, more manageable parts.
  • Practicing these basics lays the groundwork for higher-level math.
Building a strong foundation in basic math skills will support your ability to tackle various mathematical challenges with confidence.

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Most popular questions from this chapter

Solve. The sales tax is \(\$ 48\) on the purchase of a dining room set that sells for \(\$ 960\). What is the sales tax rate?

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Solve. $$ 0.64 \cdot x=170 $$

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