Question

Classify the number as rational or irrational.

Select Rational or Irrational for each number.

Rational. Irrational​

Answer 1

0.5,
`(0)/(100)` are rational. √24, 3.42859873 are irrational.

Solution:

Rational numbers can be expressed as
`(p)/(q) , \ q \\eq 0` form.

Option A: 0.5

`$0.5=(1)/(2)`

It is of the form
`(p)/(q) , \ q \\eq 0`.

Therefore 0.5 is a rational number.

Option B:
`√(24)`

`√(24)=√(2^2* 6)`

`=2√(6)`

It cannot be simplified further. Roots are irrationals.

Therefore √24 is irrational.

Option C: 3.42859873

It cannot be written as
`(p)/(q) , \ q \\eq 0` form.

Therefore 3.42859873 is irrational.

Option D:
`(0)/(100)`

It is of the form
`(p)/(q) , \ q \\eq 0`.

Therefore
`(0)/(100)` is rational.