Is 7.1 a real number?

1 Answer
Mar 29, 2016

#7.1# is a real number.

Explanation:

A real number is a number that can be represented on the real number line.

All decimal fractions, such as those who are terminating like #7.1# can be represented on real number line and hence they are real numbers.

In fact non-terminating but repeating can be expressed as a fraction (i.e. they are rational numbers) and can also represented on real number line and hence are real numbers. Further, it can be shown that even irrational numbers, which are non-terminating as well as non-repeating can also be represented on real number line and are real numbers.