1. Adding and Subtracting Integers

2. Integers Positive numbers and their opposites Vocabulary:
INVERSE = opposite
The ADDITIVE INVERSE of a number is the number that is the exact opposite on a numberline.
5 and and and 6
When you add them together – they will always equal zero

3. You can add or subtract integers using a numberline
Use a numberline
You can add or subtract integers using a numberline
5 + -3
5 – 3
Same problem
5 + 3
-5 + 3
-5 – 3
Same problem

4. 9 - 11

5. -3 - 6

6. -7 + 5

7. Combining Integers by adding or subtracting without numberline
Rethink the way you look at numbers. Think of them all as either on the positive team (positive number) or the negative team (negative number) Whose team do each of these numbers belong to?

8. When putting integers together, the integers are either……
On the same team = put them together like adding or --
On opposite teams = they fight each other and one team wins +- or -+

9. Whose team does each number belong to
Whose team does each number belong to? Are they on the same team or different teams?
4 + 8
-4 - 8
-4 + 8
4 - 8
4 + -8

10. Video

11. If on the same team – put together If on different teams – fight and who wins and by how much do they win?
4 + 8
-4 - 8
-4 + 8
4 - 8
4 + -8

12. -2 + 7
Same team or different team?
Who wins and by how much?

13. 15 -19
Same team or different team?
Who wins and by how much?

14. -6 - 9
Same team or different team?
Same team – put together!

15. 9 + 4
Same team or different team?
Same team – put together!

16. 16 - 8
Same team or different team?
Who wins and by how much?

17. -2 -12
Same team or different team?
Same team – put together!!

18. 6 - 17
Same team or different team?
Who wins and by how much?

19.
Same team or different team?
Who wins and by how much?

20. What about 2 subtraction signs together?
8 – (-9) -6 – (-3) Remember THIS!!!!..... CLICK HERE!!
2 negatives = 1 positive

21. 9 – (-5) 2 negatives = 1 positive!!! Same team or different team?
Same team – put together!!!

22. -8 – (-5) 2 negatives = 1 positive!!! Same team or different team?
Who wins and by how much?

23. -7 –(-8) 2 negatives = 1 positive!!! Same team or different team?
Who wins and by how much?

24. Word problems Vocabulary
Tell whether each word means + or -
descended
dove
ascended
owe
borrow
paid
received
spent
below
bought

25. Word problem
Jack went on a submarine excursion on his cruise. The sub went down 100 feet to the ocean floor. Then it ascended 40 feet and then dove again another 22 feet. How far below the surface was the submarine now?