Nino's Great Book of Integers

Chapter 1

Grade 7 Integer Review

(+4) + (-2) = +2
Positive (4) and Negative (2) = positive 2
have 4 and owe 2 = have 2
Standard Form: 4 - 2 = -2
Making zero pairs:

-16 = +16, -5 = + 5, +6 = -6, -2 = +2,

-10 = +10, +3 = -3, +11 = -11, -9 = +9

Chapter 2 Multiplying Integers

Sign Rule:
Even: When you have an even amount of Negative factors, the product is Positive.
Odd: When you have odd amount of Negative factors, the product is Negative.

(+2)x(-3)=
2 groups of (-3)= -6
- - -
- - -
(+2)x(+3)=
2 groups of (+3)= +6
+++
+++
(-2)x(+3)=
remove 2 groups of (+3)= -6
- - -
- - -
(-2)x(-3)=
remove 2 groups of (-3)= +6
+++
+++

Chapter 3 Dividing Integers

Sign Rule:
If you have no negative or an even amount of negative signs in a division question, the quotient is positive.

There are 2 types of division:

Partitive Division:
Making parts

EX:
6/2=3

6/-2=-3

Quotative Division:
Sharing you total with groups

EX:
(-6)/2=-3

(-6)/-2=+3

Chapter 4 Order of Operations

Brackets
Exponents
Division
Multiplication
Addition
Subtraction

(+5) x (-3) + (-6) / (+3) first you always follow BEDMAS so division is first in the question

after you do the multiplication and finally you do the addition.

example.

(+5) x (-3) + (-6) / (+3) = ( -17)

(+5) x (-3) + (-2)

(-15) + (-2)

(-17)