Is 6.8 a rational number?

1 Answer

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.