Justin Gacilan's Great book of Integers

Chapter 1
Grade 7 Review

(+4)+(-4)=0
You have 4 and then you owe 4 which leaves you with zero
Standard Form;
+4 - 4 = 0
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 an odd amount of negative factors, the product is negative.

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(+2)x(-3)= two groups of (-3)which equals -6
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(+2)x(+3)=
2 groups of (+3)= +6
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(-2)x(+3)=
take away 2 groups of (+3)= -6
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(-2)x(-3)=take away 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)