## Monday, March 21, 2011

### 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

﻿(+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
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3 -7= -4
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3 +7= 10
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-3 +7= +4
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Chapter 2: Multiplying Integers

(3)x(8)=24                                                     (+1)+(+1)+(+1)=3
(3)(8)=24                                                                3x(+1)=3
3(8)=24 <---------standard form

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Chapter 3: Dividing Integers

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

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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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