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What are they?
Rational Numbers
The root word of rational is ratio.
Ratios are fractions.
Any number that can be written as
the quotient (a fraction) of two
integers is a rational number.
However, the denominator cannot
be 0.
0.25
-5
1
2
3
0.333...
are rational numbers.
-5
=
-5
1
5
=
-1
- 10 - 15
=
=
2
3
An integer can be written as a “quotient
of 2 integers,” so integers are rational.
-7
1
7
-7
14
=
=
2 =
=6
-3
3
3
3
A mixed number can be written as a
“quotient of 2 integers,” so mixed
numbers are rational.
-1
2 -4
1
0.25 =
=
= =
8 - 16
4 -4
A terminating decimal can be written
as a “quotient of 2 integers,” so
terminating decimals are rational.
1
0.333... =
3
-1
=3
3
=
9
-3
=
-9
A repeating decimal can be written as
a “quotient of 2 integers,” so
repeating decimals are rational.
Rational numbers are ...
ð fractions - both simple and mixed
ð decimals - both repeating and terminating
ð integers …-4, -3, -2, -1, 0, 1, 2, 3…
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