Emily's Great Big Book of Integers

CHAPTER 1:
Adding and Subtracting Integers

-6-(-4)=-2

-10+6=-4

6-7+2=1

14-(-3)=17

-3-(-7)=4

-3-7=-10


3-7=-4




3+7=10
-3+7=4



CHAPTER 2:
Multiplying Integers

Examples:

(+3)x(+2)=

3 groups of 2

repeated addition
2
2

2
+2= +6

two groups of +3

(2)x(+3)=

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

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

remove 2 groups of (+3)

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

Sign Rules:

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.

CHAPTER 3:
Dividing Integers

Partitive Division is when you use groups of to get to your quotient.


Quotative Division is when you use sharing to get to your quotient.


Multiplicative Inverse is when you use multiplication to figure out your quotient.

6/(-2)=

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

That would mean 6/(-2)=(-3)

Sign Rules:

In a division question with an even amount or no negative signs the quotient will be positive.
ex.
6/2=(+3)
Since there are no negative signs the quotient is positive.

(-6)/(-2)=(+3)
Since there are an even amount of negative signs the quotient is positive.


In a division question with an odd number of negative signs the quotient will be negative.
ex.
(-6)/2=(-3)
Since there is an odd number of negative signs the quotient will be negative.

6/(-2)=(-3)
Since there is an odd number of negative signs the quotient will be negative.

CHAPTER 4:
Order of Operations

Brackets Exponents Division Multiplication Addition Subtraction

(+5) x (-3) + (-6)/(+3)=
Since there are no big brackets or exponents we would start with division and multiplication going from left to right.

[(+5) x (-3)] + [(-6)/(+3)]=
(-15)+(-2)=
Once you have done the division and multiplication you have to do the addition

(-15)+(-2)=(-17)