Question

Keisha writes the following list of number -9,
`√(8)` , 3.0,
`(2)/(5)`, 2.4222...,
`\pi`a. Which numbers are rational? b. Which numbers are irrationai?

Answer 1

a. The rational numbers are;

`-9,3.0,(2)/(5)`

b. The irrational numbers are;

`√(8),2.4\bar{2},\pi`

Step-by-step explanation:

Rational numbers are numbers that could be expressed in the form of a fraction of two intergers. For example;

`(1)/(2),(3)/(4),3,(4)/(1),(-9)/(1)`

Irrational numbers are numbers that can not be expressed in the form of a fraction of two intergers. For example;

`√(2),\pi,e,√(11)`

Therefore for the given numbers;

a. The rational numbers are;

`-9,3.0,(2)/(5)`

b. The irrational numbers are;

`√(8),2.4\bar{2},\pi`