Learning Decimals and Percents

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Grade Level
Middle School
Subject
Mathematics
Length of Time
45 minutes to 1 hour
Description

This lesson is on learning decimals and percents. Students will have a worksheet to do where they change fractions into decimals and decimals into percents.

Goals

Students will learn:
About decimals
About percents
How to change fractions into decimals
How to change decimals into percents

Materials Needed

The worksheet I provided in this lesson
Pencils and Erasers

Procedure

First, you will copy the worksheet so that each student will have a copy.

Then, you will explain how to change fractions into decimals.

After that, you will explain how to change decimals into percents.

You can use the following problem as a example on how to change fractions into decimals.

Fractions have a numerator and a denominator.

Top Number = Numerator

Bottom Number = Denominator

Part One - Changing Fractions into Decimals

When you change fractions into decimals, you divide the numerator by the denominator.

1. Four-Fifths = .80

You would divide 4 by 5

When you write out the problem, you will have: 4 divided by 5 =

After the 4, you will write a decimal point and two zeros. 4.00.

The answer would be .80

Once students have understood the process, then you can explain how to change the decimals into percents.

Part Two - Changing Decimals into Percents

When you have a decimal number such as the answer above = .80, you would move the decimal point two places to the right and replace the decimal point with a percent sign.

.80 = 80%

After you have given them examples on both concepts, then you can pass out the worksheet for them to do independently.

In this lesson, the fractions will come out evenly.

Worksheet - Decimals and Percents

Part One - Changing Fractions into Decimals

Directions: The following problems are in word form. You will need to write them out as fractions and then change them into decimals.

1. Three-Fourths

2. Seven-Tenths

3. Four-Fifths

4. Five-Tenths



5. Two-Fifths

6. Eight-Sixteenths

7. Six-Eighths

8. Nine-Tenths

9. Four-Eighths

10. Three-Fifths

Part Two - Changing Decimals into Percents

Directions: Change the following problems into Percents.

1. .75

2. .80

3. .60

4. .40

5. .90

6. 1.00

7. .65

8. .85

9. .45

10. .55 Answer Sheet

Part One - Changing Fractions into Decimals

1. Three-Fourths = .75

2. Seven-Tenths = .70

3. Four-Fifths = .80

4. Five-Tenths = .50



5. Two-Fifths = .40

6. Eight-Sixteenths = .50

7. Six-Eighths = .75

8. Nine-Tenths = .90

9. Four-Eighths = .50

10. Three-Fifths = .60

Part Two - Changing Decimals into Percents

1. .75 = 75%

2. .80 = 80%

3. .60 = 60%

4. .40 = 40%

5. .90 = 90%

6. 1.00 = 100%

7. .65 = 65%

8. .85 = 85%

9. .45 = 45%

10. .55 = 55%

Grading

There are twenty problems, so each problem is worth five points.

100 to 90 = A

89 to 80 = B

79 to 70 = C

69 to 60 = D

Below 60 = F



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