Question

Is -2 real number, rational number, whole number, Integer, Irrational number?

Answer 1

Real: Yes
Rational: Yes
Whole: No
Integer: Yes
Irrational: No

Explanation:

Real number? Yes. We can plot this number on a number line, and can be used to show the value of something real.

Rational number? Yes. This number can be expressed as the ratio of two other numbers. For instance:

`-14/7`, `-10/5`, `-22/11`, `-156/78=-2`

The above are all representations of `-2`, thus it is rational.

Whole number? No. Whole numbers are `0, 1, 2, 3` etc, but not `-1, -2, -3`, etc.

Integer? Yes. Going back to our definition of a whole number, integers are essentially the same thing. If we can divide two numbers with no remainder, the result is an integer. `-14/7=-2`, so `-2` is an integer.

Irrational? No. Earlier, we said `-2` is a rational number because we can express it as a ratio of two whole numbers. `pi` is irrational because there are no two numbers you can divide and get exactly `3.141592654...`.

Hope this helps!