What about repeating decimals? those are decimals in which a digit or group of digits repeats indefinitely. you might not think it at first, but all repeating decimals are rational, too.
1
3
3

1
is a ratio of integers. you probably know that as a decimal,
1
3
3

1
repeats. it looks like this:

0
.
3
‾
0.
3



even this crazy number is rational:
0
.
0
3
4
4
8
2
7
5
8
6
2
0
6
8
9
6
5
5
1
7
2
4
1
3
7
9
3
1
‾
0.
0344827586206896551724137931



it is exactly equal to
1
2
9
29

1
and that's a ratio of integers.

not all real numbers are rational. any number that can’t be written as a ratio of integers is an irrational number.

0
.
1
‾
0.
1

is a(n)
a
integer.
b
rational number.
c
irrational number.
d
terminating decimal.