Math Goodies is a free math help portal for students, teachers, and parents.
Free Math
Newsletter
 
 
Interactive Math Goodies Software

Buy Math Goodies Software


The Meaning of Percent Unit 4 > Lesson 1 of 9

Problem: What fraction of each grid is shaded?

Grid 1 Grid 2 Grid 3
[IMAGE] [IMAGE] [IMAGE]
Answer Answer Answer
Each grid above has 100 boxes. For each grid, the ratio of the number of shaded boxes to the total number of boxes can be represented as a fraction.

Comparing Shaded Boxes to Total Boxes
Grid Ratio Fraction
1 96 to 100
2   9 to 100
3 77 to 100

We can represent these fractions as percents using the symbol %.

= 96%       =   9%       = 77%
Definition: A percent is a ratio whose second term is 100. Percent means parts per hundred. The word comes from the Latin phrase per centum, which means per hundred. In mathematics, we use the symbol % for percent.

Let's look at our comparison table again. This time the table includes percents.

Comparing Shaded Boxes to Total Boxes
Grid Ratio Fraction Percent
1 96 to 100 96%
2 09 to 100 09%
3 77 to 100 77%

Let's look at some examples in which we are asked to convert between ratios, fractions, decimals and percents.

Example 1: Write each ratio as a fraction, a decimal, and a percent:   4 to 100,   63 to 100,   17 to 100
 
Solution
Ratio Fraction Decimal Percent
04 to 100 .04 04%
63 to 100 .63 63%
17 to 100 .17 17%


Example 2: Write each percent as a ratio, a fraction in lowest terms, and a decimal:   24%,   5%,   12.5%
 
Solution
Percent Ratio Fraction Decimal
24% 24 to 100 .240
05% 05 to 100 .050
  12.5% 12.5 to 100 .125


Example 3: Write each percent as a decimal:   91.2%,   4.9%,   86.75%
 
Solution
Percent Decimal
91.2% .9120
04.9% .0490
86.75% .8675


Summary: A percent is a ratio whose second term is 100. Percent means parts per hundred and we use the symbol % to represent it. In this lesson, we learned how to convert between ratios, fractions, decimals and percents.

Exercises

Directions: Read each question below. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a different button.

1.  Which of the following is equal to [IMAGE]?

      1.6
      8 to 100
      16%
      None of the above.

      RESULTS BOX:
          


2.  Which of the following is equal to 21.8%?

      218 to 100

      .218

      [IMAGE]

      None of the above.

      RESULTS BOX:
          


3.  Which of the following is equal to 150%

      15.0
      1.50
      .150
      None of the above.

      RESULTS BOX:
          


4.  Which of the following is equal to .0179?

      1.79%
      17.9%
      179%
      None of the above.

      RESULTS BOX:
          


5.  Which of the following is equal to 56.28%?

      56.28
      5.628
      .5628
      None of the above.

      RESULTS BOX:
          



This lesson is by Gisele Glosser. You can find me on Google.

Understanding Percent Lessons
Meaning of Percent
Writing Fractions as Percents
Writing Decimals as Percents
Writing Percents as Decimals
Writing Percents as Fractions
Percents < 1 or > 100
Practice Exercises
Challenge Exercises
Solutions

Related Activities
Percent Crossword Puzzles
Percent in Daily Life WebQuest
Percent Goodies Game
Percentage Worksheet Generator
Pre-Made Percent Worksheets

About Us | Contact Us | Advertise with Us | Facebook | Blog | Recommend This Page




Copyright © 1998-2014 Mrs. Glosser's Math Goodies. All Rights Reserved.

A Hotchalk/Glam Partner Site - Last Modified 01 Oct 2014