G8

Copyright © Swun Math Grade 8 Unit 1 Lesson 3 P TE

Input/Model

(Teacher Presents)

Directions: Read and solve.

1. Which of the following is an irrational number and why?

a. 7

b. 10278

c. √ 3

d. 99

Solution:

• c is not a rational number


• The decimal expansion of this number does not terminate or repeat.

2. True or False? 0.333... is an irrational number. Justify your answer.

Solution:

• False


• Understand that this is a common rational number^1
  3

, expressed in decimal form.

• Even though the decimal expansion may seem irrational because it never ends, the fact that it has a
  pattern of a repeating digit makes it a rational number