# Is 1/2 a real and rational number?

Mar 8, 2018

Yes

#### Explanation:

Real numbers are numbers that can be placed on a number line and rational numbers are numbers that can be written as a fraction, $\frac{1}{2}$ meets both of these conditions

Mar 8, 2018

Yes, It is.

#### Explanation:

$\mathbb{Q}$ is the set of all numbers in the form QQ={a/b/a,b in ZZ; and b!=0}. As 1/2 is on this form, 1/2 is a rational number

By the other hand, $\mathbb{R}$ is a superset containing $\mathbb{Q}$, it's say

$\mathbb{Q} \subset \mathbb{R}$, That means whichever element of $\mathbb{Q}$ is also a element of $\mathbb{R}$ and hence, 1/2 is also a real number