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4-2: Compare and Order Rational Numbers
What is a 
Rational
Number
?
A 
rational number
is a number that
can be expressed as
a ratio of two
integers written as
a fraction, in which
the denominator is
not zero.
The Real Number
System:
1. Natural Numbers
2. Whole Numbers
3. Integers
4. Rational Number
What is a 
Common
Denominator
?
What is the 
Least
Common
Denominator
(LCD)
?
Example 1b:
Page 272
5
19
13
19
A
common
denominator 
is a
common multiple
of
the
denominators
of
two
or
more
fractions.
The 
LCD 
is the
least
common
multiple of the
denominator.
Known as the
Fill in the
with LCM.
<, > or = to make
the statement true:
5
6
Example 1d:
Page 272
and
−9
16
7
9
−7
10
1. Find the LCD of
the fractions.
2. Compare.
1. Cross multiply
2. Compare
Example 2e:
Page 273
How can I 
Order
Rational Numbers
?
Example 3f:
Page 273
In a second period
class, 37.5% of
student like to
bowl. In a fifth
period class, 12 out
of 29 students like
to bowl. In which
class goes a great
fraction of student
like to bowl?
1.
Make
fractions
decimals.
2.
Solve
problem.
to
or
the
{3.44, π , 3.14}
You can 
order
rational numbers
using place value.
Order
the
set
{23%, .21, 14 , 15 } 1. Turn all to
from
least
to decimals.
2. Then write out
greatest.
the order with
original numbers.
Summary: