## Monday, March 7, 2011

### Christian T's Great Big Book of Integers

Chapter 1
-6-(-4) =-2

-10 +6 = -4

6-7+2 =1

14- (-3) =4

-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
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.

6/2=3

(-6)/(-2)=+3

Quotative Division is when you use sharing to get to your quotient.
(-6)/2=-3

Multiplicative Inverse is when you use multiplication to figure out your quotient.
6/(-2)=
(-2)x(-3)=6
(-3)x(-2)=6
Means 6/(-2)=(-3)

Sign Rules
In a division question with an even amount or no negative signs the quotient will be positive.

e.g 6/2=3
(-6)/(-2)=3

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

Chapter 4
Order of Operations with Integers

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

[(+5) x (-3)] + [(-6)/(+3)]=
(-15)+(-2)=
After you're done with division and multiplication you should do addition
(-15)+(-2)=(-17)