Subtracting Integers

To subtract an integer,

add its opposite.

• 9 - (-4) = - 9 + 4
  = - 5

Subtract Like Fractions

Subtract. Write in simplest form.

_^9

10

• _^1
  10

0101102103104105106107 108109 1

1

109 10

_^9

10

• ^1
  10
  = ^9 -^1
  10
  Subtract the numerators.

= _^8

10

Simplify.

= _^4

5

Simplify.

• _^5
  8
  
  
  • _^3
    8
    
    
    • 1 1 0
      
      
      • 8
        2
      
      
      
      
    
    
    
    
  
  
  
  


• 8
  3


• 8

3

• 8
  5


• 8

4

• 8
  5


• 8
  6


• 8
  7


• 8


• _^5
  8


• ^3
  8
  = - ^5
  8

• (- _^3
  8

(^) ) To subtract ^38 , add - ^38.

• 5 + (-3)
  _
  8
  Add the numerators.

= - _^8

8

Simplify.

= - 1 Simplify.

Find _^5

8

• _^7
  8
  .

1

8

2

8

3

8

4

8

5

8

5

8

6

(^08)
1
8
2
8
7
8

_^5

8

• ^7
  8
  = ^5 -^7
  8
  Subtract the numerators.

= - _^2

8

Simplify.

= - _^1

4

Simplify.

Check - _^2

8

+ _^7

8

= _^5

8

✓

d. - _^5

9

• ^2
  9
  e. - ^11
  12
  
  
  • (- _^5
    12
  
  
  
  

(^) ) f. - _^3
4

• ^1
  4
  g. ^59 - ^2
  9
  h. 1211 - ^5
  12
  i. 107 - _^3
  10

140 Rational Numbers

139_156_C3L2_895130.indd 140 12/31/09 12:37 PM