1. Unit 1. Day 7.

2. Quick Review
Integer Division

3. 2 3 4 −7 −7 ∙ −7 −8 −8 ∙ −8 ∙ −8 −9 −9 ∙ −9 −9 ∙ ∙ −9 = = =
𝑊ℎ𝑎𝑡 𝑑𝑜𝑒𝑠 𝑡ℎ𝑖𝑠 𝑚𝑒𝑎𝑛 …? 2 −7 −7 ∙ −7 = 3 −8 −8 ∙ −8 ∙ −8 = 4 −9 −9 = ∙ −9 −9 ∙ ∙ −9

4. − 3 ∙
− 3 − − − ∙ ∙ − ∙

5. −4 2 −4 −4 ∙ −
− 4 2 4 4 ∙

6. −6 3 −6 −6 −6 ∙ ∙ −
− 6 3 6 6 6 ∙ ∙

7. −4 2 = −4∙4 = − 16 −4 2 = −4∙−4 = + 16 −5 3 = −5∙5∙5 = − 125 −5 3 =
Example A:
−4 2 =
−4∙−4 = + 16
Example B:
−5 3 =
−5∙5∙5 = −
125
Example C:
−5 3 =
−5∙−5∙−5 = −
125
Example D:

8. Example E: −
− −1 6 =
−1∙−1∙−1∙−1∙−1∙−1 = − 1 = −1

10. Quick Review
Integer Division

11. + 8 −5 8−5 Remember … subtraction addition ++++++++ −−−−−
We can think of subtraction as addition. +
8−5 8 −5
−−−−−
subtraction
addition

12. Division is REALLY a form of multiplication.
20÷4 = 5 1 1
20 1 ∙ 1 4
20 4
2∙2∙5 2∙2
5 1 = = = = 5

13. Division is REALLY a form of multiplication.
24÷8 = 3 1 1
24 1 ∙ 1 8
24 8
2∙2∙2∙3 2∙2∙2
3 1 = = = = 3

14. IF
*Division is REALLY a form of multiplication.
*And these are the rules of integer multiplication
+ ∙ + =+
− ∙ − =+
+ ∙ − =−
− ∙ + =−
THEN
*These rules apply to integer division too!
+ ÷ + =+
− ÷ − =+
+ ÷ − =−
− ÷ + =−

15. − 9 + 6 − 2 + ÷ + =+ − ÷ − =+ + ÷ − =− − ÷ + =− + 1 + 3 − 2 + 8 − 6
Example F: −54÷6 = − 9
𝐼𝑛𝑡𝑒𝑔𝑒𝑟
𝐷𝑖𝑣𝑖𝑠𝑖𝑜𝑛
Example G: ÷6= + 6
Same signs:+
Different signs:−
Example H: ÷−4 = − 2
+ ÷ + =+
− ÷ − =+
+ ÷ − =−
− ÷ + =−
Example I: −5÷−5= + 1
Example J: ÷4= + 3
Example K: ÷ −8 = − 2
Example L: −72÷−9= + 8
Example M: −18÷3= − 6

16. ÷

17. Division 16 ÷ −2

18. + ÷ + =+ − ÷ − =+ + ÷ − =− − ÷ + =− Example N: 48 −6 = − 8
𝐼𝑛𝑡𝑒𝑔𝑒𝑟
𝐷𝑖𝑣𝑖𝑠𝑖𝑜𝑛
Example O: =
Same signs:+
Different signs:− + 7
+ ÷ + =+
− ÷ − =+
+ ÷ − =−
− ÷ + =−
Example P: −4 = − 5
Example Q: −25 −5 = + 5
Example R: ÷4= + 8
Example S: −3 = − 9

19. + ÷ + =+ − ÷ − =+ + ÷ − =− − ÷ + =− Example T: −66 −11 = + 6
𝐼𝑛𝑡𝑒𝑔𝑒𝑟
𝐷𝑖𝑣𝑖𝑠𝑖𝑜𝑛
Example T: −66 −11 = + 6
Same signs:+
Different signs:−
+ ÷ + =+
− ÷ − =+
+ ÷ − =−
− ÷ + =−
Example U: − −18 −6 = − 3

20. Are the answers the same or different? Why/Why not?
−14÷7
14÷ −7
− 14÷7

21. dividend
quotient 16 ÷ −2
=−8
16÷−2=−8
divisor