Add and Subtract positive and negative integers.notebook
March 09, 2015
8 + (­
1)
=
=
6)
(­
3 +
Adding Positive and Negative Integers
3 = + )7­
9
) =
(­4
( +
Mar 6­5:06 PM
) =
(­6
2 +
Mar 6­5:17 PM
Use the counters to show the equation.
Use the counters to show the equation.
Equation: 3 + (­6) = Equation: 5 + (­3) = Mar 5­7:13 AM
Use the counters to show the equation.
Equation: ­6 + (­2) = Mar 5­7:13 AM
Mar 5­7:13 AM
Use the counters to show the equation.
Equation: 8 + (­4) = Mar 5­7:13 AM
1
Add and Subtract positive and negative integers.notebook
March 09, 2015
Use the counters to show the equation.
Use the counters to show the equation.
Equation: 1 + (­5) = Equation: 1 + (­9) = Mar 5­7:13 AM
Mar 5­7:13 AM
Use the counters to show the equation.
Use the counters to show the equation.
Equation: 6 + (­8) = Equation: 5 + (­5) = Mar 5­7:13 AM
Use the counters to show the equation.
Equation: 5 + 5 = Mar 5­7:13 AM
Mar 5­7:13 AM
Use the counters to show the equation.
Equation: 4 + (­3) = Mar 5­7:13 AM
2
Add and Subtract positive and negative integers.notebook
Equation
Sum
Type of Sum
March 09, 2015
1. What is a general rule for adding two integers with the same sign?
+, ­, or 0
3 + (­6) = 5 + (­3) = ­6 + (­2) =
8 + (­4) =
2. What is a general rule for adding two integers with different signs?
1 + (­5) =
1 + (­9) = Essential Question: How are adding integers and subtracting integers related?
6 + (­8) =
5 + (­5) =
5 + 5 =
3. What is a general rule for 4 + (­3) =
adding two integers that vary only in sign? (for example: 5 & ‐5)
Mar 6­4:43 PM
Mar 6­10:39 PM
Use the positive counters to show the equation.
Now use the positive & negative counters to show the equation.
Equation: 4 ­ 2 = Equation: 4 + (­2) = Start with 4 positive
counters.
Remove 2 positive counters. You have ______ counters left.
Mar 6­10:42 PM
Mar 6­10:43 PM
How do I add more than two Integers???
Find 3 ­ 12.
What is the opposite of 12? ­ 12
Slide the box away to show the opposite.
Slide the box away to show the opposite.
What is the opposite of ­4? 4
Evaluate ­ 7 ­ (­12) ­ 14.
­7 ­ (­12) ­ 14 = ­7 + 12 ­ 14
Find ­8 ­ (­13).
What is the opposite of ­ 13? 13
1. -9 - 16 - 8
3 ­12 = 3 + (­ 12) Add the opposite of 12.
= ­9 Add.
Add the opposite of ­13.
­8 ­ (­13) = ­8 + 13 Add.
= 5
Now you try:
Add the opposite of ­12.
= 5 ­ 14
Add ­ 7 and 12.
= 5 + (­14)
Add the opposite of ­14
= ­9
Add.
2. 15 - (-20) - 20
3. -8 - (-6) - 0
So, ­7 ­ (­12) ­14 = ­9
Find 5 ­ (­4).
Add the opposite of ­4.
5 ­ (­4) = 5 + 4
Add.
Slide the box away to show = 9
the opposite.
Mar 6­10:58 PM
Mar 6­11:14 PM
3