Chapter 1: Grade 7 Integer Review:

Integers are "negative" and "positive" numbers. They can be represented as integer chips or on a number line. You get a "zero pair" when you have a negative and positive of the same number, example: -3 and +3 make 0.

Adding and subtracting integers:
(-3) + (+9) =
owe 3 have 9= +6

(+7) - (-9)
have 7 owe 9= 16

Chapter 2 multiplying integers:

Sign rules: When you have an even number of negative integers the answer is positive.
When you have an odd number of negative integers the answer is negative.

(3)x (7)= 21
3 groups of positive 7 the answer is positive 21
+++++++ +++++++ +++++++

(-4) x (+2)
remove 4 groups of positive 2
++ ++ ++ ++ = -- -- -- --
-- -- -- --


Chapter 3: Dividing Integers:

The way of reading the dividing integers is:
- How many groups of (a) are in (b)?
- How many (c)'s go into (d)?
(+9) ÷ (+3) =3

Partitive Division - The making of groups or parts.
(9) ÷ (3)=
+++ +++ +++
3 groups of positive 3

Quotative Division - Sharing with groups.

The quotient of the two integers with the same sign is "Positive".
The quotient of the two integers with the different sign is "Negative".

Chapter 4: Order of Operation

B.E.D.M.A.S. is used to do the order of operations for integers which stands for:

Brackets
Exponents
Division
Multiplication
Addition
Subtraction

(+7) x (-2) + (-9) ÷ (+8) =
[(+7) x (-2)] + [(14) ÷ (+2)] =
(-14) + (+7)= -7