Download Objective- To subtract integers.

Objective - To subtract integers.
To subtract an integer is to add its opposite.
a - b = a + -b
7 - 10 = 7 + -10
8 - (-5) = 8 + 5
Rewrite the subtraction by adding the opposite.
Simplify.
1) 6 - 2 = 6 + -2 = 4
2) -4 - (-10) = -4 + (10) = 6
Multiple Signed Numbers
1
+ +1
+ -1
+ + + -1
+-+1
- -1
+ + - -1
---1
- - - -1
- - - - -1
=
=
=
=
=
=
=
=
=
=
+1
+1
-1
-1
-1
+1
+1
-1
+1
-1
Odd # of Negatives = Negative
Even # of Negatives = Positive
Simplify the following.
1) -8 - -5 = -3
7) -6 - -14 = 8
2) 14 - -7 = 21
8) -7 - -7 = 0
3) -6 - 5 = -11
9) 9 - 6 - -7 = 10
4) -4 - -11 = 7
10) -4 - -9 - 3 = 2
5) -7 + -2 = -9
11) -13 + -2 - -1 = -14
6) 3 - -7 = 10
12) 6 - -3 - 5 = 4
Subtracting Integers on a Number Line
-6 -5 -4 -3 -2 -1 0 1 2 3
4 5
+2
6 - 4 = +2
6
Subtracting Integers on a Number Line
-6 -5 -4 -3 -2 -1 0 1 2 3
+9
6 - 4 = +2
6 - (-3) =
6 - (-3) = +9
4 5
6
Subtracting Integers on a Number Line
-6 -5 -4 -3 -2 -1 0 1 2 3
4 5
6
+3
6 - 4 = +2
6 - (-3) =
6 - (-3) = +9
-1 - (-4) =
-1 - (-4) = +3
Combine the following integers.
1) -3 - - 10 = +7
8) -14 - - 6 = -8
2) +6 - - 9 = +15
9) +7 - - 5 = +12
3) -4 + -7 = -11
10) -7 + -8 = -15
4) +6 - 8 = -2
11) -6 - - 4 = -2
5) -3 - - 12 = +9
12) -5 + 16 = +11
6) -7 - 12 = -19
13) -17 - - 12 = -5
7) +5 - -18 = +23
14) +13 - - 4 = +17
Evaluate the expression when x = -3
1) x  5
4) x  5
3  5  8
2) 5  x
5  3  8
3) x  5
3  5
8  8
3  5
3  5  2
5) 5  x
5  3
8 8
6) 5  x
5  3
53 2
Decide whether the statement is true always,
sometimes, or never.
1) 5x  2  5x  (2)
3) 3(x  1)  3x  3
Always
Always
2) x  4  x  3
Never
4) x  x
Sometimes
Combine the following rational numbers.
 
4
1
1)   
5
5
4  1  3
5
5
5
 
1
3
2)  
5 10
2 1  3
2 5 10
  
2 3 5 5


10 10 10 5

1

2
Combine the following rational numbers.
 
     
1

2
3)  
3
5
5 1  2 3
5 3
5 3
5  6  1
15 15 15
 

3
4)  7 
7
7 7  3
7 1 7
  
49  3  46
7
7
7
4
 6
7