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Chapter 6: Problem 4

Find percent notation. $$ \frac{1}{100} $$

Short Answer

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Step by step solution

01

Understand the fraction

The given fraction is \(\frac{1}{100}\). This means 1 part of something that is divided into 100 equal parts.
02

Convert the fraction to decimal

To convert \(\frac{1}{100}\) to a decimal, divide the numerator by the denominator: \(1 \div 100 = 0.01\).
03

Convert the decimal to percent

To convert a decimal to a percent, multiply the decimal by 100. Thus, \(0.01 \times 100 = 1\).
04

Write the final answer

The fraction \(\frac{1}{100}\) is equivalent to 1% in percent notation.

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Key Concepts

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

Fraction to Percent Conversion
Converting a fraction to a percent is an important skill in mathematics. First, let's understand what fractions and percents represent.
A fraction tells us how many parts of a whole we have. For example, \(\frac{1}{100}\) means 1 part out of 100 equal parts.
To convert a fraction to percent notation, follow these steps:
  • First, convert the fraction to a decimal. This is done by dividing the numerator (the top number) by the denominator (the bottom number).
Using the fraction \(\frac{1}{100}\), we divide 1 by 100, giving us the decimal 0.01.
Next, convert the decimal to a percent by multiplying by 100.
  • For example, 0.01 multiplied by 100 equals 1.
Thus, \(\frac{1}{100}\) is equal to 1%.
Decimal Conversion
Decimals are another way to represent fractions. They have a point called a decimal point and digits that come after it.
To convert a fraction to a decimal:
  • Simply divide the numerator by the denominator.
For instance, when converting \(\frac{1}{100}\) to a decimal, we perform the division: 1 梅 100 = 0.01.
This means the fraction \(\frac{1}{100}\) can be written as the decimal 0.01.
It's essential in mathematics to understand decimals because they're used in many areas, such as money and measurement.
  • For example, 0.01 dollars means 1 cent.
By understanding decimals, you can better grasp topics like percentages and sometimes make calculations easier.
Mathematics Education
Mathematics education is vital for developing problem-solving skills. Learning to convert fractions to decimals and percents helps strengthen these skills.
It鈥檚 important because:
  • Mathematics is used in various fields like science, engineering, and economics.
  • Knowing how to perform conversions helps in daily life activities, such as shopping and budgeting.

When learning these concepts, practice is key. Here are some tips to improve your understanding:
  • Work through examples step-by-step, just like the exercise with \(\frac{1}{100}\).
  • Use visual aids, such as pie charts or number lines, to understand fractions and percentages better.
By continually practicing and seeking resources, you鈥檒l become proficient and confident with these concepts.

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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?

Multiply and simplify. $$ \frac{8}{21} \times \frac{49}{800} $$

During a sale, a dress decreased in price from $$\$ 90$$ to $$\$ 72$$. What was the percent decrease?

Given normal use, an Americanmade car will depreciate \(25 \%\) of its original cost in the first year and \(14 \%\) of its remaining value in the second year. What is the value of a car at the end of the second year if its original cost was $$\$ 36,400 ?$$ $$\$ 28,400 ?$$ $$\$ 26,800 ?$$

Solve. $$ \frac{7}{2}=\frac{11}{x} $$
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