Question

Is 6.8 a rational number?

Answer 1

Yes, `6.8` is indeed a rational number.

Explanation:

By definition, a rational number is a number that can be expressed by the ratio `a/b`, where `a` and `b` are integers and `b` doesn't equal `0`.

`6.8 = 68/10` and both 68 and 10 are integers.

In addition, `6.8` is a rational number (part of many other numbers) that make up real numbers (others including terminating decimals, repeating decimals, integers, and counting numbers, which are all rational numbers).

Some examples include:

Counting Numbers: `" "0,1,2,3,4,...`

Integers: `" "...-3,-2,-1,0,1,2,3,....`

Rational Numbers: `" "7/9, 8.47, -5/8, 0.3...`

In conclusion, a number that doesn't meet these criteria would be otherwise considered an irrational number (a number that cannot be expressed in the form `a/b` e.g. `1.341823...`, `pi`, `sqrt(2)`, etc.).

Irrational numbers are infinite, non-recurring decimals.