Shenna's Great Big Book of Integers

Chapter 1: Grade 7 Integer Review

Integers:
number lines
integer chips
zero pair
negative and positive numbers

red integer chip = positive
blue integer chip = negative

Integers ala Grade 7

(+4)+(-4)=0      (+4) - have 4, (-4) - owe 4

Brackets are training wheels.

Standard form:

4-4  <------- pure standard form

-3 - (-7)=+4

-3 -7= -10



3 -7= -4



3 +7= 10





-3 +7= +4





Chapter 2: Multiplying Integers

(+3)x(+8)=+24                                                  repeated addition

(3)x(8)=24                                                     (+1)+(+1)+(+1)=3

(3)(8)=24                                                                3x(+1)=3

3(8)=24 <---------standard form





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 Operation With Integers

BEDMAS stands for Brackets, Exponents, Division, Multiplication, Addition, Subtraction

(+5)x(-3)+(-6)/(+3)=

[(+5)x(-3)]+(-6)/(+3)=

-15+[(-6)/(+3)]=

-15+ -2= 17


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