Question

Which are rational and irrational? Thanks in advance :)

Answer 1

`3(1)/(2)-rational`

`\pi -irrational`

`-(2)/(3)-rational`

`√(16) -rational`

`√(3) -irrational`

`18-rational`

`0.625-rational`

`0.987987987...-rational`

Explanation:

Rational numbers:

-are all numbers you can write as a quotient of integers
`(a)/(b)` ,
`b\\eq 0`

-include terminating decimals. For example,
`(1)/(8)=0.125`

-include repeating decimals. For example,
`(1)/(3) =0.33333....`

Irrational numbers:

-have decimal representations that neither terminate nor repeat. For example,
`√(2)=1.414213....`

-cannot be written as quotients of integers