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
β3
β
β1
ββ is a ratio of integers. You probably know that as a decimal,
1
3
β3
β
β1
ββ repeats. It looks like this:
0
.
3
βΎ
0.
β3
β
ββ
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
βΎ
0.
β0344827586206896551724137931
β
ββ
It is exactly equal to
1
2
9
β29
β
β1
ββ and that's a ratio of integers.
Not all real numbers are rational. Any number that canβt be written as a ratio of integers is an irrational number.
0
.
1
βΎ
0.
β1
β
ββ is a(n)
A
integer.
B
rational number.
C
irrational number.
D
terminating decimal.