Marilen's Great Big Book of Integers

Chapter 1 Grade 7 Integer Review
(+4)+(-4)=0 (have four) and (owe four) equals zero Brackets are training wheels
Pure Standard Form is 4-4=0

A zero pair is a pair of the same negative number, and positive number. Together, they equal zero.
Making Zero Pairs:
a) -16=+16 b) -6=+6 c) -10=+10 d) +19=-19 e) -11=+11 f) -14=+14 g) -63=+63

1. -3-(-7) use zero pairs


2. -3-7 use zero pairs


3. 3-7 use zero pairs

4. 3+7 = 10

5. -3+7= - 4



Chapter 2 Multiplying Integers
Sign Rule: When you have an even amount of negative signs, the answer is positive. When you have an odd amount of negative signs, the answer is negative.

1. (+2) x (+3)= 6 [2 groups of 3]

2. (+2) x (-3)= -6 [2 groups of -3]

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

4. (-2) x (-3)= 6 [remove 2 groups of -3 ]

5. (-3) x (-4)= 12 [remove 3 groups of -4]

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 or making parts
6÷3=2 , how many groups of 3 are in 6?

Quotative Division or sharing your total with groups
6÷3=2 , share 6 with 3 groups

6÷2 and -6÷ (-2) will give you the answer of 3 because the questions has no, or an even amount of negative signs.
(-6)÷2 and 6÷(-2) will give you the answer of -3 because the questions have an odd amount of negative signs.

Chapter 4 Order of Operations with Integers
Brackets Exponents Division Multiplication Addition Subtraction
(+5) x (-3) + (-6) ÷ (+3)
(+5) x (-3) + (-2) [solved division first]
(-15) + (-2) [solved multiplication after]
= (-17) [solved addition]

Links Multiplying & Dividing Integers Bedmas