# Is -12 an integer, rational, or real number?

Jul 24, 2018

It's all three

#### Explanation:

Given: $- 12$

Integers: $\left\{\ldots - 3 , - 2 , - 1 , 0 , 1 , 2 , 3 , 4 , \ldots\right\}$

Rationals: any number that is or can be made into a fraction.

Irrationals: numbers that can't be made into a fraction $\left\{\pi , \sqrt{2} , \ldots\right\}$

Reals: any number that is rational or irrational - any number on the number line.

As you can see, $- 12$ is an integer, but it is also a rational number because it can be made into a fraction: $- \frac{12}{1}$ and it is real because it can be found on the number line.