1. Operations with Integers
Integrated Mathematics

2. Addition Rules Positive + Positive = Positive
Negative + Negative = Negative
Positive + Negative or
Negative + Positive
Subtract & Take Sign of Number Further from Zero

3. Addition Rules When the signs are the SAME
Add and keep the Same Sign
When the signs are DIFFERENT
Subtract and keep the sign of the number further from ZERO

4. Adding Integers
Ex.1) −𝟑+𝟓
Ex.2) −𝟒+(−𝟓)
Ex.3) −𝟒+𝟗
Ex.4) −𝟓+𝟐

5. Adding Integers Ex.5) −𝟏𝟐+(−𝟕) Ex.6) 𝟏𝟑+(−𝟕) Ex.7) −𝟏𝟓+𝟏𝟎 Ex.8) −𝟏𝟐+𝟐𝟓

6. 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)

7. Subtraction Rules Ex.11) −𝟑−𝟒 Ex.12) −𝟖−(−𝟓) Ex.13) −𝟒−(−𝟔) Ex.14) 𝟐−𝟔
Use Addition Rules
Make two minus signs into a plus sign
Ex.11) −𝟑−𝟒
Ex.12) −𝟖−(−𝟓)
Ex.13) −𝟒−(−𝟔)
Ex.14) 𝟐−𝟔

8. Subtracting Integers Ex.15) 𝟒−𝟗 Ex.16) 𝟔−(−𝟒) Ex.17) −𝟒−𝟏𝟕

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

10. Multiplying Integers Ex.19) 8(− 5) Ex.20) (−𝟕)∙𝟓 Ex.21) (−𝟑)(−𝟒)

11. Dividing Integers Ex.25) 15÷ −3 Ex.26) −21÷(−7) Ex.27) −44 −11