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May 09, 2016
Integers
Integers are all positive and negative whole numbers
-10
-9
-8
-7
-6
-5 -4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
Rules for ADDING integers:
*The sum of 2 positive numbers is always positive.
*The sum of 2 negative numbers is always negative.
May 09, 2016
Rules for ADDING integers:
*The sum of 2 opposites is always zero.
What happens when the signs are different?
-8 + 4
-10
-9
-8
-7
-6
-5 -4
7 + -3
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
May 09, 2016
Use the counters below to model the given expression.
-5 + 4
+
-
+- ++- +-
-
Use the counters below to model the given expression.
9 + (-5)
+
-
-+ -+ +
-+ -+
+-
+
+
+
May 09, 2016
Use the counters below to model the given expression.
+
- + -+
7 + (-2)
+
+
+
+
+
-
Use the counters below to model the given expression.
+
-
-1 + 5
-+
+
+
+
+
May 09, 2016
Use the counters below to model the given expression.
-3 + 8
+
-
+ -+ +- ++ +
+ +
Use the counters below to model the given expression.
+
-
+- +-
+- +
-
-7 + 4
- - -
May 09, 2016
Use the counters below to model the given expression.
+
-+
-+
+
-
+ +
+ +
9 + (-3)
+
+
Use the counters below to model the given expression.
5 + -8
+
-
-+
++
+
-
- - -
-+
May 09, 2016
Use the counters below to model the given expression.
+ +
+ +
-
+ +
++-
-4 + 9
++-
Steps for SUBTRACTING integers:
*Subtracting a larger positive number from a smaller positive
number always results in a negative number.
May 09, 2016
Steps for SUBTRACTING integers:
*Subtracting a positive number from a negative number
gives you a negative number.
Use the counters below to model the given expression.
-6 - 8
++
-
- - - - -
+
+
+
++ ++
-
May 09, 2016
Use the counters below to model the given expression.
4 - (-3)
+
+ + + +
+
+
- ---
+
Use the counters below to model the given expression.
+
-
+
2 - (-5)---
+
++
+
+
+