Question

Which two of the following numbers are rational?

​1/3
.10
.π

√2

Answer 1

1/3, 0.10

Explanation:

Rational numbers can be expressed as a fraction of two integers.

1/3 is rational. When it is expressed as a fraction, it's 1/3. 1 is an integer, and 3 is an integer

0.10 is rational. It can be rewritten to be expressed as the fraction 1/10; 1 is an integer, and 10 is an integer.

.
`\pi` is irrational, because when expressed as a fraction, it is 1/
`\pi`. 1 is an integer, but
`\pi` is not. Both numbers need to be integers in order to be rational. Therefore, it is irrational

√2 is irrational. When expressed as a fraction, it's √2/1. √2 is not an integer. 1 is an integer. However, both numbers have to be integers in order to be rational. Therefore, √2 is not rational.