power point

1. ADDING
ADDING
INTEGERS
INTEGERS
1-5
1-5

2. VOCABULARY…
VOCABULARY…
1.
1. Additive Inverses
Additive Inverses – two
– two
numbers with a sum of zero
numbers with a sum of zero
ex.) 23 and -23 are additive
ex.) 23 and -23 are additive
inverses, because 23 + (-23) = 0
inverses, because 23 + (-23) = 0

3. ADDITION OF OPPOSITES
ADDITION OF OPPOSITES

When you
When you add two opposites
add two opposites, their sum is
, their sum is
zero. So,
zero. So, opposites
opposites are called
are called additive
additive
inverses
inverses when you’re adding them together.
when you’re adding them together.
 Therefore, the sum of an integer and its
Therefore, the sum of an integer and its
opposite is
opposite is always zero (0).
always zero (0).
1 + (-1) = 0
1 + (-1) = 0 -1 + 1 = 0
-1 + 1 = 0

4. NUMBER LINES…
NUMBER LINES…
 Number lines are an excellent way to add
Number lines are an excellent way to add
positive and negative numbers that are not
positive and negative numbers that are not
opposites.
opposites.
-3 -2 -1 0 1 2 3

5. WORD PROBLEM…
WORD PROBLEM…
 On the first play of their drive, a football team
On the first play of their drive, a football team
loses 8 yards. The next play, they gain 3
loses 8 yards. The next play, they gain 3
yards. What is their yardage for the team’s
yards. What is their yardage for the team’s
first two plays?
first two plays?
First Play
First Play +
+ Second Play
Second Play
-8 3
-8 3

6. On the first play of their drive, a football team loses 8
On the first play of their drive, a football team loses 8
yards. The next play, they gain 3 yards. What is their
yards. The next play, they gain 3 yards. What is their
yardage for the team’s first two plays?
yardage for the team’s first two plays?
 Steps:
Steps:
1.
1. Start at 0
Start at 0
2.
2. To represent -8, move to the left 8 places.
To represent -8, move to the left 8 places.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1

7. On the first play of their drive, a football team loses 8
On the first play of their drive, a football team loses 8
yards. The next play, they gain 3 yards. What is their
yards. The next play, they gain 3 yards. What is their
yardage for the team’s first two plays?
yardage for the team’s first two plays?
3.
3. To add positive 3, move to the right 3 places.
To add positive 3, move to the right 3 places.
4.
4. Since we end on -5, our result to the problem is -5.
Since we end on -5, our result to the problem is -5.
So, -8 +3 = -5 …
So, -8 +3 = -5 …
The result of the first two plays is a loss of 5 yards.
The result of the first two plays is a loss of 5 yards.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1

8. ADDITION RULES
ADDITION RULES
1.
1. To add two numbers with the same sign, add
To add two numbers with the same sign, add
the numbers together. The answer will have
the numbers together. The answer will have
the same sign as the numbers.
the same sign as the numbers.
ex.) 3 + 5 = 8 -3 + (-5) = -8
ex.) 3 + 5 = 8 -3 + (-5) = -8
2.
2. To add two numbers with different signs,
To add two numbers with different signs,
take the bigger digit and subtract the other
take the bigger digit and subtract the other
digit. Your answer will have the same sign
digit. Your answer will have the same sign
as the bigger digit.
as the bigger digit.
ex.) -3 + 5 = 2
ex.) -3 + 5 = 2 3 + (-5) = -2
3 + (-5) = -2

9. SIGNS FOR ADDITION
SIGNS FOR ADDITION
(
(+
+) + (
) + (+
+) =
) = +
+
(
(-
-) + (
) + (-
-) =
) = -
-
(
(+
+) + (
) + (-
-) =
) =
(
(-
-) + (
) + (+
+) =
) =
Subtract the digits
and keep the sign of
the larger digit.

10. Examples…
Examples…
1.) -1 + 4
1.) -1 + 4
2.) 7 + (-3)
2.) 7 + (-3)
3.) -2 + (-2)
3.) -2 + (-2)
4.) 6 + (-9)
4.) 6 + (-9)
= 3
= 4
= -4
= -3