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Chapter 6: Problem 14

Find decimal notation. $$ 100 \% $$

Short Answer

Expert verified
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Step by step solution

01

Understanding Percentage

Recognize that percentage is a way of expressing a number as a fraction of 100. Thus, 100% means 100 out of 100.
02

Converting Percentage to Fraction

Convert the percentage to a fraction by placing the percentage number over 100. That means 100% can be written as \( \frac{100}{100} \).
03

Simplifying the Fraction

Simplify the fraction \( \frac{100}{100} \) to its simplest form. Here, \( \frac{100}{100} = 1 \).
04

Converting to Decimal

Convert the simplified fraction to decimal notation. Since 1 is already a decimal, the final answer is simply 1.

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Key Concepts

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

Percentage Conversion
Understanding how to convert percentages is a fundamental skill in mathematics. A percentage is a way of expressing a number as a part of a whole, specifically out of 100. For example, 100% simply means 100 out of 100. To convert a percentage into a fraction, place the percentage number over 100. So, for 100%, you write it as \( \frac{100}{100} \). This conversion helps in simplifying and understanding percentages better.
Fraction Simplification
Simplifying fractions is the process of reducing them to their simplest form. In the case of the fraction \( \frac{100}{100} \), both the numerator (top number) and the denominator (bottom number) are 100. When a fraction has the same numerator and denominator, it simplifies to 1. Here, \( \frac{100}{100} = 1 \). This process makes calculations easier and the fraction more understandable. It鈥檚 essential to get comfortable with simplification as it is a recurring technique in many areas of math.
Converting Percentages
Switching from percentages to decimal notation involves a few simple steps. After converting the percentage to a fraction and simplifying it, the next step is to convert this fraction into decimal form. For many percentages, this final step is straightforward. In our example, we had \( 100\% = \frac{100}{100} = 1 \). Since 1 is already a decimal, there is no further conversion needed. However, for other percentages, you might need to perform division to reach the decimal format. Learning to convert percentages to decimals will enhance your number sense and allow you to work with various forms of data representation easily.

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Most popular questions from this chapter

A coupon allows a couple to have \(\$ 10\) subtracted from their dinner bill. Before subtracting \(\$ 10\), however, the restaurant adds a tip of \(20 \%\). If the couple is presented with a bill for \(\$ 40.40\), how much would the dinner (without tip) have cost without the coupon?

A person earns $$\$ 28,600$$ one year and receives a \(5 \%\) raise in salary. What is the new salary?

In 2016, there were 13,102,100 men and women in the workforce in Saudi Arabia. Of this number, about 1,978,400 were women. What percent of the workforce were women?

In baseball, the strike zone is normally a 17 -in. by 30 -in. rectangle. Some batters give the pitcher an advantage by swinging at pitches thrown out of the strike zone. By what percent is the area of the strike zone increased if a 2 -in. border is added to the outside?

Solve. David earns \(\$ 1147.50\) for selling \(\$ 7650\) worth of car parts. What is the commission rate?
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