G8

Copyright © Swun Math (^) Grade 8 Unit 1 Lesson 1 C TE

Homework

Unit 1 · Lesson 1: Decimal Expansion

Objective: I will convert fractions to decimals and determine if it is terminating or repeating.

Vocabulary Steps:

Terminating decimal: a decimal with digits that

come to an end

1

8 = 0.^

Repeating decimal: a decimal number that has

digits that repeat forever

1

3

= 0. 3333= 0. 3�

* The 3 is a repeating digit, and is marked with a bar

notation.

Method 1

1. Divide to convert the fraction to a decimal.


2. Determine if the decimal is repeating or
   terminating.


3. If it’s repeating, identify the pattern.

Method 2

1. Determine if fraction can be changed to an
   equivalent fraction with 10, 100, 1,000 etc. in
   the denominator.


2. Convert base-ten fraction to decimal form.

Example # 1 Example # 2

Directions: Convert each fraction to a decimal. State whether it’s repeating or terminating. If it’s a repeating

decimal, describe the pattern.

1

4

Solution:

• 41 = 0.


• terminating decimal


• Therefore, 41 i s rational.

3

11

Solution:

• 113 =0.272727... or 0.


• Repeating pattern is 27
  
  
  • Therefore, 113 is rational.
  
  
  
  

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Date: _____