Is 6.48 a rational number?

1 Answer
Aug 11, 2016

#6.48# is clearly rational

Explanation:

Rational numbers are those which can be written as a fraction (ie as a ratio between two quantities.)

A rational number can be written as #a/b, "where " a and b " are integers, but " b!=0#

Rational numbers include all the integers, all the vulgar fractions as well as the terminating and recurring decimals.

Irrational numbers cannot be written as a fraction and are infinite, non-recurring decimals, for example. #pi, sqrt 10, sqrt 33, sqrt 88#

What about #6.48?#

It is a terminating decimal. (it ends)
It can be written as #648/100#

It is the ratio: #162:25#

#6.48# is clearly rational