Compare and Order
Rational Numbers
0011 0010 1010 1101 0001 0100 1011
7th Grade Math
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Lesson Objective:
Students will compare and order
fractions and decimals.
Vocabulary
0011 0010 1010 1101 0001 0100 1011
• Rational Number
– Any number that can be written as a fraction
– Examples: whole numbers, integers, fractions,
decimals and percents
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4
Compare Rational Numbers
0011 0010 1010 1101 0001 0100 1011
• Use <, >, or = to make the statement true.
1
-5 __
< 3
-5
0
-4 __
> -6
3
-6
2
4
-4
0
Compare Rational Numbers
0011 0010 1010 1101 0001 0100 1011
• Use <, >, or = to make the statement true.
1
0
¼
¾
2
< -1 1/6
-1 5/6 __
¾ __
> ¼
1
-2-15/6
4
-11/6 -1
Whiteboard Practice
0011 0010 1010 1101 0001 0100 1011
• Use <, >, or = to make the statement true.
3
4
 __ 
5
5
4
7
 __ 
9
9
5
1
 7 __  7
8
8
3
6
 1 __  1
4
8
1
2
4
Least Common Multiple
0011 0010 1010 1101 0001 0100 1011
• If the fractions are unlike, find a common
denominator to compare them.
7
8
__
12 18
12 x 1 = 12
12 x 2 = 24
12 x 3 = 36
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18 x 1 = 18
18 x 2 = 36
Compare Rational Numbers
0011 0010 1010 1101 0001 0100 1011
• Use <, >, or = to make the statement true.
7
8
__
12 18
7 x3
8x2
__
12 x 3 18 x 2
21 > 16
7
8
so
>
__
__
36 36
12 18
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Whiteboard Practice
0011 0010 1010 1101 0001 0100 1011
• Use <, >, or = to make the statement true.
7
2
__
10 3
2
4
 3 __  3
3
6
3
2
2 __ 2
4
3
11
7
3 __ 3
16
8
1
2
4
Real World Example
0011 0010 1010 1101 0001 0100 1011
• In Mr. Huang’s math class, 6 out of 32
students own roller shoes. In Mrs. Trevino’s
math class, 5 out of 29 students own roller
shoes. In which class does a greater fraction
of students own roller shoes?
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Mr. Huang
6 ÷ 32 = 0.1875
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4
Mrs. Trevino
5 ÷ 29 = 0.1724
Whiteboard Practice
0011 0010 1010 1101 0001 0100 1011
• The table shows hoe
much copper is in each
type of coin. Which
coin contains the
greatest amount of
copper?
Coin
Amount of
Copper
Dime
12/16
Nickel
3/4
Penny
Quarter
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2
4
1/400
23/25
Whiteboard Practice
0011 0010 1010 1101 0001 0100 1011
• Gracia and Jim were shooting free throws.
Gracia made 4 out of 15 free throws. Jim
missed 6 out of 16 free throws. Who made
the free throw a greater fraction of the time?
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Ordering Rational Numbers
0011 0010 1010 1101 0001 0100 1011
• List the numbers 3.44, π, 3.14, and 3.4 in
order from least to greatest.
1. Write all numbers to the same place value.
3.440 , 3.141, 3.140, 3.444
2. Order the numbers according to directions.
1
3.140
3.141
3.440
or
3.14 , π, 3.44, 3.4
2
4
3.444
Whiteboard Practice
0011 0010 1010 1101 0001 0100 1011
• Order each set of numbers from least to greatest.
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2
0.23, 0.19, 1/5
-0.615, -5/8, -0.62
8/ ,
10
-1.4, -11/25, -1.25
0.81, 0.805
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