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.