Download 1.1 Add Integers Using the Inverse Property Of Addition

1.1 Add Integers Using the Inverse
Property Of Addition
Basic Conduct
1) Be in your seat at the bell ready to work.
2) Stay in your seat and stay silent.
3) Class starts when you enter the room, and
ends when you are dismissed.
WARM-UP
1) Place the integers on the number line.
−9, − 5, − 2, 1, 5,7
0
Evaluate the expressions.
2)
4)
−2 + 2
−5 + 5
3) −2 + 9
5) −5 + 3
Add Integers using the Inverse
Property of Addition
You have $50 in your pocket, but you owe a friend
$57. Do you really have any money?
NOTES
Two numbers that are the same distance from zero are
called opposites.
-10 -8 -6 -4 -2 0 2 4 6 8 10
Concept Check
Find the opposites.
6
−4
Find the number that is the same distance from zero.
−7
3
NOTES
The Inverse Property of Addition: opposites added
together always equals zero.
Concept Check
Evaluate the expressions.
−1 + 1
1,048 + (−1,048)
EXAMPLES
Evaluate the expressions.
−4 + 4 + 13
74 + 26 + (−74)
843 + (−843) + (−11)
NOTES
To add positives to negatives cancel equal amounts out
then count the extra positives or negatives.
Concept Check
−2 + 7
+
=
+
=
3 + (−8)
EXAMPLES
Evaluate the expressions.
+
=
+
=
EXAMPLES
Evaluate the expressions.
−9 + 2
10 + (−4)
−21 + 29
38 + (−21)
EXAMPLES
Fred had $68 in his pocket, but owed his friend $14.
How much money did Fred have?
PRACTICE
What is the opposite of 17?
What property says that
when you add opposites you
get zero?
Evaluate the expressions.
−56 + 8 + 56
29 + (−17)
10 + (−23)
50 + (−4)
PRACTICE
Sam had $58 in the bank, but owed his friend $80.
How much money did Sam really have?
FINAL QUESTION
Create your own example of the inverse property of
addition.