John's Great Big Book of Integers

Chapter 1: Grade 7 Review of Integers

I only finish Grade 6. I don't know this stuff.

 

Chapter 2:Multiplying Integers

Chapter 3: Dividing Integers

Partative Division: How many groups of 2 are in 6? or How many 2's go into 6?



Quotative Division: sharing with groups

Multiplicative Inverse can help you solve 6/(-2) by switching the number around when checking the answer. Like this: the answer in 6/(-2) is -3 so you use multiplicative inverse to check if your answer is right.

6/(-3)= -3.

Sign Rule:

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.

6/2= +3 (it's positive because both factors are positive)

-6/(-2)= +3 (it's positive because there is an even number of negative factors)

(-6)/2= -3 (it's negative because there is an odd number of negative factors)

6/(-2)= -3 (it's negative because there is an odd number of negative factors)

Chapter 4: Order of Operations with Integers

BEDMAS [square brackets around division/multiplication]

eg. [(+5) x (-3)] + (-6) ÷ (+3)=
-15 +[(-6) ÷ (+3)]=
-15 + -2 = -17