Is -0.033333 a rational number?

1 Answer
Apr 9, 2015

A rational number is defined as a number that can be written as a ratio.
In the case of #-0.033333,# it is possible to write the number as a fraction.

Let #x=-0.033333#
#100x=-##3.33333#
#10x=-0.33333#
#100x-10x= -##3.33333#-(#-0.33333#)=#3#
#90x=3#
#x or -0.033333# #=3/90=1/30#

As # -0.033333# can be written as a fraction of #1/30#, it is a rational number.