6th Grade Math Textbook, Progress

Compare and Order Rational Numbers

6-17

Simplify to compare.




^42 
 4  2  
 2

Look at the number line above: 
 3 
 2

Compare: 
 6 
 8 

1

2 

You can use a number line to compare rational numbers.

The number farther to the right is the greaternumber.


6 is farther to the right.

So 
 6 
 8 

1

2 .

Compare: 
 3

^42 

 3  
 2

So 
 3 

^42 .

Order from least to greatest: 0,  1 

1

2 ,


2.5

From least to greatest:
2.5, 0,  1 

1

2 

Study these examples.

?

?

 10

6.9 4.6 9.17

 9 
 8 
 7 
 6 
 5 
 4 
 3 
 2 
 1 0  1  2  3  4  5  6  7  8  9  10

 83

4


 61

4

 8

4

 12

3

 11

3

Compare:  9 .17 
 8

 9 .17
 83

4

3

? 4 Order from least to greatest:


6 , 
 , 
6. 9

6. 9 , 
6 , 
^12

3

1

4

12

3

1

4

Order from greatest to least:



, 4.6,

4.6,  , 
^8

4

11

3

8

4

11

3

 10 
 9 
 8 
 7 
 6 
 5 
 4 
 3 
 2 
 1 0  1  2  3  4  5  6  7  8  9  10

 81 
 6

2

 3

2.5 0

 2 
 1 0  1  2  3

 (^112)
1.1
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