1. Bellringer
Solve:
8 * –(-2) =
-(90 / 10)=
Answer: 16 -9

2. Examples
7 = 7
10 = 10
-100 =
100
5 - 8 =
-3= 3

3. Go Over Homework

4. Ch. 1-3 Adding & Subtracting Integers

5. Additive Inverses Two numbers whose sum is zero. -9 + 9 = 0
8 – 8 = 0 rewrite as
8 + (-8) = 0
C + (-C) = 0

6. Ch. 1-3 Adding and Subtracting Integers Steps
Big Rocks
1.) Rewrite if needed - Whenever you see two negatives side
by side rewrite as one positive. Ex: 7 – (- 8) = 7 + 8
- (-8) means -1(-8) which simplifies to +8
2.) Same Signs – If signs are the same ADD. Add the numbers and keep the sign of whatever they are.
Example: = = -5

7. Adding Integers - Same Sign
We can show this same idea using a number line. 9 -5 5 10
-10
What is 5 + 4?
Move five (5) units to the right from zero.
Now move four more units to the right.
The final point is at 9 on the number line.
Therefore, = 9.

8. Adding Integers - Same Sign-9 -5 5 10
-10
What is -5 + (-4)?
Move five (5) units to the left from zero.
Now move four more units to the left.
The final point is at -9 on the number line.
Therefore, -5 + (-4) = -9.

9. Ch. 1-7 Adding and Subtracting Integers Steps
Big Rocks
1.) Rewrite if needed - Whenever you see two negatives side
by side rewrite as one positive. Ex: 7 – (- 8) = 7 + 8
- (-8) means -1(-8) which simplifies to +8
2.) Same Signs – If signs are the same ADD. Add the numbers and keep the sign of whatever they are.
Example: = = -5
3.) Different Signs – If signs are different subtract. Subtract the numbers and keep the sign of the number with the greatest absolute number.
Example: 2 + (-3) = = 1

10. Ch. 1-7 Adding and Subtracting Integers Steps
Big Rocks
1.) Rewrite if needed - Whenever you see two negatives side
by side rewrite as one positive. Ex: 7 – (- 8) = 7 + 8
- (-8) means -1(-8) which simplifies to +8
2.) Same Signs – If signs are the same ADD. Add the numbers and keep the sign of whatever they are.
Example: = = -5
3.) Different Signs – If signs are different subtract. Subtract the numbers and keep the sign of the greater number.
Example: 2 + (-3) = = 1
3 – 2 = 1
3 – 2 = 1
|3| = |-2| = 2
|-3| = |2| = 2
Positive
Negative
2 + (-3) = 1
2 + (-3) = -1

11. Adding Integers - Different Signs
Add the following integers: (-4) + 7. -5 5 10
-10
Start at zero and move four units to the left.
Now move seven units to the right.
Are the signs the same?
The final position is at 3.
Therefore, (-4) + 7 = 3.
Subtract or add?
If Subtract – answer has the sign of the number that has the largest absolute value

12. Adding Integers - Different Signs-5 5 10
-10
Start at zero and move nine places to the left.
Now move three places to the right.
The final position is at negative six, (-6).
Therefore, (-9) + 3 = -6.

13. Example 1: Add the following integers.
a.) 5 + (-2) b.) c.)
Different
Subtract
Same
Different 3
-22 -4
AV = +
Add
Subtract
AV = - (neg)
Example 2: Subtract the following integers.
a.) 12 – (-15) b.) -8 – c.) 10 – 12
Same
Rewrite - - = +
Different
Add
Same = -2
= 27
Subtract
= -12
Add
AV = - (neg)
Example 3: Write an expression for the scenario below and evaluate the answer.
a.) An airplane descended 120 ft. and rose 140 ft.
Different
Subtract =
AV = +
20 ft.

14. Example 4: Evaluate each expression below by substituting numbers in for the variables. x = 5 y = -6
a.) x – y b.) x + y c.) 2x - y
5 – (-6) =
5 + (-6)
2(5) – (-6) =
Rewrite - - = +
Different
Rewrite - - = +
Subtract
10 + 6
5 + 6 =
Same
Same
AV = - (neg.)
Add
Add
= -1
= 11
= 16

15. Which is equivalent to -12 – (-3)?
12 + 3
12 - 3
Answer Now

16. 7 – (-2) = ? -9 -5 5 9
Answer Now

17. |7| – |-2| = ? -9 -5 5 9
Answer Now

18. |-4 – (-3)| = ? -1 1 7
Purple
Answer Now

19. Homework Time Textbook page 18, problem 12-36 even
write out steps like in your notes
Rewrite
S Same d Different
A Add s Subtract
+- largest AB