Robin's Great Book of Integers

Chapter 1
Grade 7 Review


(10)+(-7)=3
have 10 and owe 7
Bracket: These are put in for us for training us for grade 8.

Zero Pairs: This when a positive and negative are put together to make a Zero Pairs

1+(-1)=0

Used in addiction,Times, and dividing

Chapter 2
Sign Rules

Sign Rule (negative signs):
Even = When you have an even number of negative factors, the product is positive.
Odd = When you have an odd number of negative factors, the product is negative.

(2)x(2)=4
(+4)x(+4)=+16
3(5)=15
(3)(3)=6 *Standard form*


(3)x(3)
3 Groups of 3= 9

(3)x(-3)
3 groups of (-3)=-9

(-3)x(-3)
Remove 3 groups of 3

-











(-3)x(=3)
Remove 3 groups(-3)

Same as the other picture.


Chapter 3
Sign Rules

If you have no negative or an even number of negative signs in a division question, the quotient will be a positive.

There are 2 types of division:

Partitive division

Partitive division is making parts.

Example:
3divided by 2= 1


Qualitative division:

Qualitative division is sharing your total, with groups.

Example:
(-3) divided by 2= -1


Chapter 4
ORDER OF OPERATIONS WITH INTEGERS

Brackets
Exponents
Division
Mmultiplication
Aaddition
Ssubtraction

First is to check if there any bracket and exponents if not skip it.
If there Division then you do first on the question.then if there multiplication then you do it second.Then Final do is addition to solve the question.

(+5) x (-3) + (-6) / (+3)
(+5) x (-3) + (-2)
(-15) + (-2)
= (-17)