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.