Kyle's Great Big Book Of Integers

Chapter 1 Grade 7 Integer Review

(+4)-(-4)
You have 4 (+4) and you owe 4 (-4)

(+4)-(-4)=0
This is a zero pair.

Make zero pairs
-6=+6
-10=+10
-19=+19
-16=+16
-11=+11
-14=+14
-63=+63

Chapter 2

(+2)x(+3)=+6 or two groups of (+3)=6
(+2)x(-3)=-6 or two groups of (-3)=-6

(-2)x(+3) (+3)x(-2)=-6 or remove 2 groups of (+3) use zero pairs

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

sign rule:

Even:when you have a even number of negative factors the product is positive.

Odd:when you have a odd number of negative the product is negative


Chapter 3



Dividing integers

There are 2 types of division.

Partitive division:

Partitive division is making parts.

6÷2=3



6÷-2=-3



Quotative division:

Quotative division is sharing your total, with groups.

(-6)÷2=-3







multiplicative inverse helps when you cant explain how to divide:
6÷(-2)


Chapter 4
Order of Operations with Integers

How to solve this question,
(+5) x (-3) + (-6) ÷ (+3)=
(+5) x (-3) + [(-6) ÷ (+3)][division]
[(+5) x (-3)] + (-2)[multiplication]
(-15)+(-2)[adding]
=-17
Brackets
Exponents
Division
Multiplication
Adding
Subtracting