G8

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

Challenge Problems

Directions: Read and solve.

1. True or false?

1

0 is a rational number.

Justify your answer.

Solution:

False

Remember, the rules of fractions require a non-zero

integer to be in the denominator position.

This number doesn’t exist; therefore, it is not rational.

2. Label each real number as rational or
   irrational. Justify your answer.

√ 25

2

√ 5

2

Solution:

√ 25

2 is rational because it can be rewritten as

5

2

√^5

2 is irrational because 5 is not a perfect square which

makes √ 5 not an integer. This number cannot be

rewritten in fraction form with an integer in the

numerator.

Extension Activity

* MP1: Make sense of the problem and persevere in solving it.

* MP4: Apply mathematics in everyday life.

Directions: Using the integers 1-9, fill in the boxes to satisfy each number type.

�  = a whole number

� = a rational number

� = a rational number

�  = a rational number

� = an irrational number

�  = an irrational number