Justin Lorenzo's Great Big Book Of Integers

Chapter 1 GRADE 7 INTEGER REVIEW

(+4)-(-4) =0
Positive 4 subtract Negative 4 = 0
You have 4 and you owe 4 = 0 or none

(+6) + (-2) = +4
Positive 6 and Negative 2 = Positive 4
You have 6 and you owe 2 = have 4

These are zero pairs:

(+4 and - 4 = 0)
0 0 0 0
0 0 0 0
= zero

(- 2 and +2 = 0)
0 0
0 0
= zero



Chapter 2 MULTIPLYING INTEGERS

SIGN RULE

Odd: When you have a odd number of negative the product is negative.
Even: When you have a even number of negative factors the product is positive.

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

0 0 0
0 0 0

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

0 0 0
0 0 0

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

0 0 0
0 0 0

0 0 0
0 0 0

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

0 0 0
0 0 0

0 0 0
0 0 0 ->
You take the negative part away


Chapter 3 DIVIDING INTEGERS

SIGN RULE

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

There are 2 types of division:

Partitive division:
Partitive division is making parts.

Example:
6 divided by 2= 3

6 divided by - 2= - 3


Quotative division:
Quotative division is sharing your total, with groups.

Example:
(-6) divided by 2= -3

6 divided by (-2)= +3


Chapter 4 ORDER OF OPERATIONS WITH INTEGERS

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)