The document discusses rules for evaluating sums and products of positive and negative integers: 1) When adding positive integers, add the magnitudes and keep the positive sign. When adding negative integers, add the magnitudes and keep the negative sign. 2) When adding a positive and negative integer, subtract the magnitudes and keep the sign of the integer with the largest magnitude. 3) When multiplying integers, the sign of the product is positive if there is an even number of negative factors and negative if there is an odd number of negative factors.

2. Net Result
Positive 9
(+5) + (+4) = +9
Or
(+4) + (+5) = +9

3.  When finding the sum of positive integers
you add the magnitudes and keep the
positive sign.

4. Net Result
Negative 10
(-3) + (-7) = -10
Or
(-7) + (-3) = -10

5.  When finding the sum of negative
integers you add the magnitudes and keep
the negative sign.

7. Net Result
Positive 2
(+7) + (-5) = +2
Or
(-5) + (+7) = +2

8.  When finding the sum of a positive and a
negative integer you subtract the
magnitudes and keep the sign of the
integer with the largest magnitude.

10. Net Result
Zero
(+5) + (-5) = 0
Or
(-5) + (+5) = 0

11.  Positive symbol means
 Negative symbol means
You Have
or
You’ve
Earned
You Owe

12.  (+3) + (-7)
 (-5) + (-2)
 (-3) + (-6) + (+4)
 (+3) + (-2) + (+2)

13.  (+50) + (-100)
 (-25) + (+10)
 -60 + -20
 -20 + 15
 30 + -5

14. Positive Integers
To add two positive integers you add the
magnitude and keep the positive sign.
Negative Integers
To add two negative integers you add the
magnitude and keep the negative sign.
A Negative and a Positive Integer
To add a positive and a negative integer you
subtract the magnitudes and keep the sign of
the integer with the largest magnitude.

16. (+1) – (+4) =
(+1) – (+4) = -3

17. (-5) – (+3) =
(-5) – (+3) = -8

18.  (-8) – (-3) =
 (+4) – (-5) =
 (-4) – (-5) =
 (+1) – (-6) =
 (-5) – (+6) =
 (-2) – (-3) =
 (-20) – (-10) =
 (+30) – (-3) =
 (-20) – (-30) =

19. 1. (-5) + (+2) = -3
2. (+6) + (-2) = +4
3. (-2) – (-6) = +4
4. (+7) + (-2) = +5
5. (-5) + (+2) = -3
6. (+8) + (-4) = +4
7. (-3) – (+6) = -9
8. (+50) – (-10) = +60
9. (-20) + (-30) = -50

22. (+2) x (+4) =
(+2) x (+4) = +8
This means you have two sets of four positive
tiles or you have earned two groups of four
dollars.

23. (+2) x (-4) =
(+2) x (-4) = -8
This means you have two sets of four negative tiles or
you have two bills that you owe,each bill is for four
dollars.

24. (-2) x (-4) =
(-2) x (-4) = +8
This means you don’t have two sets of four
negative tiles or you don’t owe two bills, each bill is
for four dollars.

25.  (+3) x (-2) =
 (-2) x (-2) =
 (+5) x (-2) =
 (-3) x (+2) =
 (+3) x (+4) =
 (+3) x (-2) =

27.  (-91) x (-101) =
 (+152) x (-21) =
 (-19) x (+203) =
 (-69) x (-102) =
 (-62) x (-11) =
 (-128) x (+12) =

28.  (-91) x (-101) =
 (+152) x (-21) =
 (-19) x (+203) =
 (-69) x (-102) =
 (-62) x (-11) =
 (-128) x (+12) =

29. FACTOR FACTOR PRODUCT
+ + +
_ _ +
_ + _
+ _ _

30. DIVIDEND DIVISOR QUOTIENT
+ + +
_ _ +
_ + _
+ _ _

31.  (-1) x (+1) x (-1) =
 (+1) x (+1) x (-1) =
 (-1) x (-1) x (+1) =
 (-1) x (-1) x (-1) =
 (-1) x (-1) x (+1) x (-1) x (+1) =
 (-1) x (+1) x (+1) x (-1) x (+1) =

32. a. (-1) x (+1) x (-1) = +1
b. (+1) x (+1) x (-1) = -1
c. (-1) x (-1) x (+1) = +1
d. (-1) x (-1) x (-1) = -1
If there is an even
number of negative
signs, the product is
positive
If there is an odd
number of negative
signs, the product is
negative

33. a. (-1) x (+1) x (-1) x (+1) =
b. (+1) x (+1) x (-1) x(-1) =
c. (-1) x (+1) x (-1) x (-1) x (+1) =
d. (-1) x (-1) x (-1) x (-1) x (+1) x (-1) =
e. (1) x (+1) x (-1) x (-1) x (+1) x (-1) =
f. (-1) x (-1) x (-1) x (-1) x (-1) x (-1) =
g. (-2) x (-3) x (-2) x (+1) =
h. (-1) x (-3) x (-2) x (-2) x (-3) =

34.  (-2) x (+2) x (-1)(-3)=
 (+1) x (+4) x (-5) =
 (-17) x (-2) x (+2) =
 (-2) x (-3) x (-6) x 4 =
 (-2) x (-3) x (-3)

35. (+2) x (+4) =
(+2) x (+4) = +2