Is 6.416 an irrational number?

1 Answer
Dec 6, 2016

No, any terminating decimal number is rational.

Explanation:

The real numbers #(RR)# consist of the union of the rational numbers #(QQ)# and the irrational numbers #(ZZ)#

Any number that can be expressed as a terminating or recurring decimal is rational - i.e #in QQ#

A number #in ZZ# cannot be expressed by a terminating decimal.

Hence, #6.416# is #in QQ# and therefore #not in ZZ#