Is negative 5.7 a rational number?

1 Answer
Sep 12, 2016

Yes, it is.


A rational number is a number, which can be described as a ratio of two integers. As it is a ratio of integers, it can be positive as well as negative.

Further, any decimal fraction, which limits itself beyond the decimal point (such as #5.7# which does not go beyond tenth place) or has continuously repeats numbers (till infinity) beyond a certain place of decimal (such as #4.33333....# or #0.232142857142857142857....#) can be easily written as ratio of integers, however large and hence are rational.

Now as #-5.7=-57/10=(-57)/10#, a ratio of two integers, it is a rational number.