Question

Classify each number as either rational or irrational and determine whether it is terminating, repeating, or neither.

a. -0.6
b. 7100
c. -√2
d. 0.35217534...

Answer 1

a. -0.6 is a rational and terminating number. b. 7100 is a rational and terminating number. c. -√2 is an irrational and neither terminating nor repeating number. d. 0.35217534... is a rational and neither terminating nor repeating number.

Step-by-step explanation:

a. -0.6 is a rational number since it can be written as -6/10 or -3/5. It is terminating since it can be expressed as a fraction with a denominator of 5.

b. 7100 is a rational number since it can be written as 7100/1. It is terminating since it can be expressed as a fraction with a denominator of 1.

c. -√2 is an irrational number since it cannot be expressed as a fraction. It is neither terminating nor repeating.

d. 0.35217534... is a rational number since it can be written as 35217534/100000000. It is neither terminating nor repeating.