1. Operations with Integers
Integrated Mathematics

2. Objective
Students will calculate the sum, difference, product, and quotient of integers.

3. Addition Rules Positive + Positive = Positive
Negative + Negative = Negative
Positive + Negative or
Negative + Positive
Subtract & Take Sign of the Bigger Number

4. Addition Rules When the signs are the SAME
Add and keep the Same Sign
When the signs are DIFFERENT
Subtract & Take Sign of the Bigger Number

5. Adding Integers
Ex.1) −𝟑+𝟓
Ex.2) −𝟒+(−𝟓)

6. Adding Integers
Ex.3) −𝟒+𝟗
Ex.4) −𝟓+𝟐

7. Adding Integers
Ex.5) −𝟏𝟐+(−𝟕)
Ex.6) 𝟏𝟑+(−𝟕)

8. Adding Integers
Ex.7) −𝟏𝟓+𝟏𝟎
Ex.8) −𝟏𝟐+𝟐𝟓

9. Practice -4 + 10 6) 9 + (-16) 5 + (-2) - 8 + (-8) -3 + (-7) 13 + 0
5 + (-5)
6) 9 + (-16)
- 8 + (-8)
13 + 0
11 + (-6)

10. Subtraction Rules Ex.10) −𝟖−(−𝟓) Ex.9) −𝟑−𝟒 Use Addition Rules
Make two minus signs into a plus sign
Ex.9) −𝟑−𝟒
Ex.10) −𝟖−(−𝟓)

11. Subtraction Rules Ex.12) 𝟐−𝟔 Ex.11) −𝟒−(−𝟔) Use Addition Rules
Make two minus signs into a plus sign
Ex.11) −𝟒−(−𝟔)
Ex.12) 𝟐−𝟔

12. Practice -4 - 10 6) 9 - 16 5 - (-2) - 8 - (-8) -3 - (-7) 13 - 0
5 - (-5) 6)
- 8 - (-8)
13 - 0
15 - 4
11 - (-6)

13. Rules for Multiplication/Division
When the signs are Different, the answer is Negative.
When the signs are THE SAME the answer is Positive.
RULES + -

14. Multiplying Integers
Ex.13) 8(− 5)
Ex.14) (−𝟕)∙𝟓

15. Multiplying Integers
Ex.15) (−𝟑)(−𝟒)
Ex.16) −𝟖∙𝟎

16. Multiplying Integers
Ex.17) −𝟏𝟓∙(−𝟑)
Ex.18) −𝟓(−𝟔)(−𝟑)

17. Dividing Integers
Ex.19) 15÷ −3
Ex.20) −21÷(−7)

18. Dividing Integers
Ex.21) −44 −11
Ex.22) −5

19. Dividing Integers
Ex.24)
Ex.23) 0 −9

20. Practice -4 - 10 6) 9 - 16 5 - (-2) - 8 - (-8) -3 - (-7) 13 - 0
5 - (-5) 6)
- 8 - (-8)
13 - 0
15 - 4
11 - (-6)