1. Unit 1 Rational Numbers
Integers

2. Adding Integers
The sum of two positive integers is always positive. 5+4=9.
The sum of two negative integers is always negative. -5 +(-3)= -8.
The sum of a positive integer and a negative integer is sometimes positive, sometimes negative and sometimes zero.
5 + (-1)= = =0

3. Positive+ Negative
4+ (-2)=
7+ (-8)=
5 + (-5)=
9+ (-13)=

4. Negative + Positive
(-9) + 5=
(-4) + 7=
(-6) + 5=
(-3) + 10=

5. Negative + Negative (-4) + (-4)= (-7) + (-2)= (-1) + (-6)=
(-8) + (-5)=

6. Subtracting Integers To subtract an integer, add its opposite.
4-9=4 + (-9)=-5
Or Keep, Change, Change
-5 – (+7)
Keep the 5, change the – to + and the + to (-7)=-12
11- (-3)= =14

7. Positive – Positive
4 – 8=
5 – 6=
7 – 9=
3 – 12=

8. Positive - Negative
4 – (-5)=
8 – (-1)=
12 – (-7)=
3 – (-9)=

9. Negative - Positive
(-9) - 5=
(-4) - 7=
(-6) - 5=
(-3) - 10=

10. Negative - Negative (-2) - (-4)= (-7) - (-5)= (-5) - (-6)=
(-8) - (-10)=

11. Multiplying Integers
The product of two integers with the same sign is positive.
5X5=25 -5X-5=25
The product of two integers with different signs is negative.
-5X4=-20 5X-4=-20

12. Negative x Negative -4 x -7 -4(-3) -14(-6) -8 x -9
What pattern do you see?

13. Negative x Positive -4 x 8 -12(6) 15(-3) 9 x -7
What pattern do you see?

14. Dividing Integers
The quotient of two integers with the same sign is positive.
25÷5= ÷-5=5
The quotient of two integers with different signs is negative.
-25÷5= ÷5=-4

15. Negative ÷ Negative -48 ÷ -12 -108 ÷ -3 -64 ÷ -4 -72 ÷ -6
What pattern do you see?

16. Negative ÷ Positive Positive ÷ Negative
-144 ÷ 4
84 ÷ -6
45 ÷ -3
-168 ÷ 8
What pattern do you see?

17. Summary Multiplying and Dividing Integers-
If the signs are the same, the answer is positive.
If the signs are different, the answer is negative.

18. Warm Up
-4 +8=
5+ -2=
(-3) – 6=
5 – (-5)=

19. Practice Problems:
(-8) × 4 =_______ 9 × (-6) =_______ (-1) × (-10) =_______
16 ÷ (-4) = _______ 20 ÷ (-2) = _______ ÷(- 5) = _______

22. Exit Ticket
4(-12)
64 ÷ -8
-56 ÷ -7
(-5)(-9)