Is every rational number an integer?

1 Answer
Apr 11, 2015

Every integer is a rational number, but not every rational number is an integer.

Integers include zero, all counting numbers, and all negatives of counting numbers:
#. . . -2, -1, 0, 1, 2, 3, etc#

Rational numbers are numbers that can be expressed as fractions:
#... 1/6, 2/5, 3/4, 1/3, 1/2, etc#

All integers can be expressed as rational numbers if you put them over #1#:
#-2/1, -1/1, 0/1, 1/1, 2/1#