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Thursday, March 24, 2011
Ivan's Great Book Of Integers.
Grade 7 integer review.
(+4) + (-2) = +2
Positive (4) Negative (2) = Positive 2
Have 4 Owe 2 = have 2
Standard Form : 4 - 2 = 2.
Making A Zero Pair:
An example of a zero pair is (+1) + (-1).
A negative and a positive can make a zero pair because it is oppisite from each other.
Chapter Two Multiplying Integers:
Sign Rule:
Even: When you have an even amount of negative factors, the product is positive.
Odd: When you have an odd amount of negative factors, the product is negative.
(+2)x(-3)=-6
2 Groups Of (-3)=-6
---
---
(+2)x(+3)=+6
2 Groups Of (+3)=+6
+++
+++
(-2)x(+3)=-6
Remove Two Groups Of (+3)=-6
---
---
(-2)x(-3)=+6
Remove Two Groups Of (-3)=+6
+++
+++
Chapter Three Dividing Integers:
Sign Rule: If you have no negative or an even amount of negative signs in a division question, the quotient is positive.
2 Types Of Division:
Partitive Division:
making parts
EX.
6/2=3
6/-2=-3
Quotative Division:
Sharing your total w/ groups
EX.
(-6)/2=-3
(-6)/-2=+3
Chapter Four Order Of Operation:
Brackets
Exponents
Division
Mutiplication
Adding
Substracting
(+5)x(-3)+(-6)/(+3). First you always follow BEDMAS, so division is first in the question, after you multiply, and do the adding.
EX.
(+5)x(-3)+(-6)/(+3)=-17
(+5)x(-3)+(-2)
(-15)+(-2)
-17 is your final answer.
Nino's Great Book of Integers
Grade 7 Integer Review
(+4) + (-2) = +2
Positive (4) and Negative (2) = positive 2
have 4 and owe 2 = have 2
Standard Form: 4 - 2 = -2
Making zero pairs:
-16 = +16, -5 = + 5, +6 = -6, -2 = +2,
-10 = +10, +3 = -3, +11 = -11, -9 = +9
Chapter 2 Multiplying Integers
Sign Rule:
Even: When you have an even amount of Negative factors, the product is Positive.
Odd: When you have odd amount of Negative factors, the product is Negative.
(+2)x(-3)=
2 groups of (-3)= -6
- - -
- - -
(+2)x(+3)=
2 groups of (+3)= +6
+++
+++
(-2)x(+3)=
remove 2 groups of (+3)= -6
- - -
- - -
(-2)x(-3)=
remove 2 groups of (-3)= +6
+++
+++
Chapter 3 Dividing Integers
Sign Rule:
If you have no negative or an even amount of negative signs in a division question, the quotient is positive.
There are 2 types of division:
Partitive Division:
Making parts
EX:
6/2=3
6/-2=-3
Quotative Division:
Sharing you total with groups
EX:
(-6)/2=-3
(-6)/-2=+3
Chapter 4 Order of Operations
Brackets
Exponents
Division
Multiplication
Addition
Subtraction
(+5) x (-3) + (-2)
(-15) + (-2)
(-17)
Wednesday, March 23, 2011
Robin's Great Book of Integers
Grade 7 Review
(10)+(-7)=3
have 10 and owe 7
Bracket: These are put in for us for training us for grade 8.Zero Pairs: This when a positive and negative are put together to make a Zero Pairs
1+(-1)=0
Used in addiction,Times, and dividing

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.
(2)x(2)=4
(+4)x(+4)=+16
3(5)=15
(3)(3)=6 *Standard form*
(3)x(3)
3 Groups of 3= 9

(-3)x(-3)
Remove 3 groups of 3
-

(-3)x(=3)
Remove 3 groups(-3)
Same as the other picture.
Chapter 3
Sign Rules
If you have no negative or an even number of negative signs in a division question, the quotient will be a positive.
There are 2 types of division:
Partitive division
Partitive division is making parts.
Example:
3divided by 2= 1
Qualitative division:
Qualitative division is sharing your total, with groups.
Example:
(-3) divided by 2= -1
Chapter 4
ORDER OF OPERATIONS WITH INTEGERS
Exponents
Division
Mmultiplication
Aaddition
Ssubtraction
If there Division then you do first on the question.then if there multiplication then you do it second.Then Final do is addition to solve the question.
(+5) x (-3) + (-2)
(-15) + (-2)
= (-17)
Tuesday, March 22, 2011
Kaecee's Great Big Book Of Intergers
have 4 owe 4
*Brackets are training wheels. Pure standard form: 4 - 4-
Zero pair = When subtracting something that isn't there, use a zero pair.
Examples of zero pairs: +6 -6, +10 -10, +19 -19, +16 -16, +11-11,+14 -14, +63 -63
-3 -2 = 3-2 = subtraction = adding a negative integer.
5. -3 - (-7) = +4
6. -3 - 7 = -10
9. -3 + 7 = -4
(+2) x (-3)= -6
or 2 groups of (-3)
Even = When you have an even number of negatives factors the product is POSITIVE.
Odd = When you have an odd number of negative factors the product is negative.
Homework: 290-292 1-19 odds
Quotative division or sharing your total with groups
2x3=6
Justin Lorenzo's Great Big Book Of Integers
Chapter 1 GRADE 7 INTEGER REVIEW
(+4)-(-4) =0
Positive 4 subtract Negative 4 = 0
You have 4 and you owe 4 = 0 or none
(+6) + (-2) = +4
Positive 6 and Negative 2 = Positive 4
You have 6 and you owe 2 = have 4
These are zero pairs:
(+4 and - 4 = 0)
0 0 0 0
0 0 0 0
= zero
(- 2 and +2 = 0)
0 0
0 0
= zero
Chapter 2 MULTIPLYING INTEGERS
SIGN RULE
Odd: When you have a odd number of negative the product is negative.
Even: When you have a even number of negative factors the product is positive.
(+2)x(-3)=
2 groups of (-3)=(-6)
0 0 0
0 0 0
(+2)x(+3)=
2 groups of (+3)=(+6)
0 0 0
0 0 0
(-2)x(+3)
2 groups of (+3)=-6
0 0 0
0 0 0
0 0 0
0 0 0
(-2)x(-3)
2 groups of (-3)=6
0 0 0
0 0 0
0 0 0
0 0 0 ->
You take the negative part away
Chapter 3 DIVIDING INTEGERS
SIGN RULE
If you have no negative or an even number of negative signs in a division question, the quotient is positive.
There are 2 types of division:
Partitive division:
Partitive division is making parts.
Example:
6 divided by 2= 3
6 divided by - 2= - 3
Quotative division:
Quotative division is sharing your total, with groups.
Example:
(-6) divided by 2= -3
6 divided by (-2)= +3
Chapter 4 ORDER OF OPERATIONS WITH INTEGERS
Exponents
Division
Multiplication
Addition
Subtraction
(+5) x (-3) + (-2)
(-15) + (-2)
(-17)
Monday, March 21, 2011
Casey's Great Big Book of Integers
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
Chapter 3 DIVIDING INTEGERS
Daniel's Great Big Book of Integers
(+4) + (-2) = +2
Positive (4) and Negative (2) = positive 2
have 4 and owe 2 = have 2
Standard Form: 4 - 2 = -2
Make zero pairs:
-16 = +16, -5 = + 5, +6 = -6, -2 = +2,
-10 = +10, +3 = -3, +11 = -11, -9 = +9
CHAPTER 2 Multiplying Integers
(+2)x(+3) = +6
(2)x(3) = 6
(2)(3) = 6 *Standard form*
2(3) = 6
(+2)x(+3) = +6
2 groups of (3)=+6
Chapter 3 Dividing Integers
Sign Rule: If you have no negative or an even number of negative signs in a division question, the quotient is positive.
There are 2 types of division
Partitive Division or making parts
6÷3=2 ,
how many groups of 3 are in 6?
Quotative Division or sharing your total with groups
6÷3=2 , share 6 with 3 groups
6÷2 and -6÷ (-2) will give you the answer of 3 because the questions has no, or an even amount of negative signs.
(-6)÷2 and 6÷(-2) will give you the answer of -3 because the questions have an odd amount of negative signs
Chapter 4 Order of Operations with Integers
The order of Operations is called BEDMAS : Brackets, Exponents, Division, Multiplication, Addition, Subtraction
(+5) x (-3) + (-2) [solved division first]
(-15) + (-2) [solved multiplication after]
= (-17) [solved addition]
Saturday, March 19, 2011
Diana's Great Big Book of Integers
Grade 7 Integer Review:
(+4)-(-4) =0
Positive 4 subtract Negative 4 = 0
You have 4 and you owe 4 = 0 or none
(+6) + (-2) = +4
Positive 6 and Negative 2 = Positive 4
You have 6 and you owe 2 = have 4
Zero Pairs:
-6=+6
-20=+20
-10=+10
-5=+5
-1=+1
-4=+4
-50=+50
Chapter 2
Multiplying Integers:
SIGN RULE:
Odd: When you have a odd number of negative the product is negative.
Even: When you have a even number of negative factors the product is positive.
(+2)x(-3)=
2 groups of (-3)=(-6)

Chapter 3
Dividing integers:
SIGN RULE:
If you have no negative or an even number of negative signs in a division question, the quotient is postive.
There are 2 types of division:
Partitive division:
Partitive division is making parts.
Example:
6 divided by 2= 3
6 divided by -2= -3
Quotative division:
Quotative division is sharing your total, with groups.
Example:
(-6) divided by 2= -3
6 divided by (-2)= +3
Chapter 4
Use Badmas:
B ...stands for brackets
E ...stands for exponents
D ...stands for division
M ...stands for multiplication
A ...stands for addition
S ...stands for subtraction
(Use in order)
If I had to solve this problem:
(+5) x (-3) + (-6) ÷ (+3)=
First I would put brackets around, (-6)÷(+3). Then solve it.
[(-6)÷(+3)]=(-2)
Now the question would be:
(+5) x (-3) + (-2)=
Multiplication is next:
(+5) x (-3)= (-15)
Now Answer:
(-15) + (-2)= (-17)
Wednesday, March 16, 2011
Van's Great Big Book of Integers
Grade 7 Integer Review
- You can use a number line to model an integer.
- You can also use "integer chips"to represent integers.(Integer chips are coloured disk used to represent integers;positive integers are usually red and negative integers are usually blue.).
- When subtaracting that isnt there,use a zero pair.([For example,-6 + 2=?] [use six negative chips and 2 positive chips....remove zero pairs.Then,you are left with -4.][-6 + 2 = -4])
Integer ala Grade 7
(+4) + (-4)= 0 (you have 4 and you owe 4,how are left? A=0)
Standard Form
(+4) + (-4) -remove the brackets(brackets are just training wheels)
= 4 - 4 -pure standard form
Removing negative part of a zero pair
Ex.10 - (-4)=? (when a term is in a bracket,remove it by using zero pairs and turn it to a positive integer)
Use 10 positive chips and 4 negative chips.Use zero pairs for the negative chips and remove the negatives.Now, you are left with 10 positive chips and another group of 4 positive chips.Add 4 and 10.(Any integer subtraction can be completed by adding the opposite integer).10 -(-4)= 10 + (+4) = 14
Star Statements
-3 -(-7)=4 (explanation:(-)integer minus another (-) integer is positive.If we use integer chips,use zero pairs for -7 and remove the negatives.Use the 3 negative chips as zero pairs for the 7positive chips.Now, you are left with 4 positive chips.)
-3-7=-10 (explanation:subtraction:adding a negative integer)
3-7=-4 (explanation:Make zero pairs.You are left with 4 negative chips)
3+7=10 (explanation:Just add them because they have the same sign[add their chips])
-3+7=4 (explanation:Make zero pairs.You are left with 4 positive chips)
CHAPTER 2
Multiplying Integers
SIGN RULES (NEGATIVE SIGNS)
Even=when you have even number of negative factors,the product is positive
Odd=when you have an odd number of negative factors,the product is negative
http://www.youtube.com/watch?v=UHIZUE5iW-c
STANDARD FORM
(2) x (-4) -remove the multiplication sign
(2)(-4) or 2(-4) -standard form of a multiplication statement
Examples of multiplication statements
a.(+4) x (+2)=8 (multiply [(+) x (+) = (+)])
b.(+5) x (-2) =-10 (multiply[(+) x (-) = (-)])
c.(-4) x (+2)=-8 (multiply[(-) x (+) =(-)])d.(-6)x (-1) = 6 (multiply [(-) x (-) =(+)])
Another set of examples
(+2) x (+3) = 6 (Make 2 groups of 3 positive chips)
(+2) x (-3) =-6 (Make 2 groups of 3 negative chips)
(-2) x (+3)= -6 (You can change the position of terms to (+3) x (-2) or use zero pairs)
(-2) x (-3)= 6 (make two groups of -3 and apply sign rules)
Chapter 3
Dividing Integers
Two types of division
Partative Division- making parts
Ex. 6 /2=3 (make two parts of six)(+)(+)(+)(+)(+)(+)
[(+)(+)(+) ] [(+)(+)(+)]
Quotative Division-sharing your total with groups
(-6) / 2 =-3
share 6 with 2 groups
(-1,-1,-1)=-3 (-1,-1,-1)=-3
Check by using Multiplicative Inverse
(multiply the quotient by the divisor)
(-3)(2)=-6
(2)(-3)=-6
SIGN RULES
When you have an odd number of (-) signs in a division question,the quotient is always negative.
(-6) / 2 = -3 Check:(-3)(2)=6 -multiplicative inverse and use multiplication sign rules
6 / (-2) =-3 Check:(-3)(-2)= 6
When you have an even number of (-) or (+) signs in a division question,the quotient is always positive
6 / 2 = 3 Check:(3)(2)=6-6 /-2 =3 Check:(3)(-2)=-6
http://www.youtube.com/watch?v=_Btpi6mfXws
CHAPTER 4
ORDER OF OPERATIONS WITH INTEGERS
Order of Operations
B- BRACKETSE-EXPONENT
D-DIVISION
M-MULTIPLICATION
A-ADDITION
S-SUBTRACTION
-Solve terms in brackets first
-Multiply and Divide from left to right
-Add and subtract from left to right
EX.
(+5) x(-3) + (-6) / (+3)
- [15] + [-6 / 3]-(15) + (-2)
- (-17)
Monday, March 14, 2011
Kyle's Great Big Book Of Integers
(+4)-(-4)
You have 4 (+4) and you owe 4 (-4)
(+4)-(-4)=0
This is a zero pair.
Make zero pairs
-6=+6
-10=+10
-19=+19
-16=+16
-11=+11
-14=+14
-63=+63
Chapter 2
(+2)x(+3)=+6 or two groups of (+3)=6
(+2)x(-3)=-6 or two groups of (-3)=-6
(-2)x(+3) (+3)x(-2)=-6 or remove 2 groups of (+3) use zero pairs

(-2)x(-3) or remove 2 groups of (-3)=6
sign rule:
Even:when you have a even number of negative factors the product is positive.
Odd:when you have a odd number of negative the product is negative
Chapter 3
Dividing integers
There are 2 types of division.
Partitive division:
Partitive division is making parts.
6÷2=3
6÷-2=-3
Quotative division:
Quotative division is sharing your total, with groups.
(-6)÷2=-3
multiplicative inverse helps when you cant explain how to divide:
6÷(-2)
Chapter 4
Order of Operations with Integers
How to solve this question,
(+5) x (-3) + (-6) ÷ (+3)=
(+5) x (-3) + [(-6) ÷ (+3)][division]
[(+5) x (-3)] + (-2)[multiplication]
(-15)+(-2)[adding]
=-17
Brackets
Exponents
Division
Multiplication
Adding
Subtracting
Thessa's Great Book of Integers
(+4)+(-2)=
positive 4 AND negative 2 = positive 2
OR
you have 4 AND you owe 2 = have 2

Standard form: 4-2= 2
Make zero pairs -16 -5 +11 -2 +6 -10 -9 +3 +16 +5 -11 +2 -6 +10 +9 -3
Homework:
-3-(-7)= +4
-3-7= -10
3-7= -4
3+7= +10
-3+7= +4
*When brackets are touching, they multiply*

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

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

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

Sign Rules (negative signs)
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 produce is NEGATIVE.
Division. 03152011.
There are 2 types of division.
PARTATIVE DIVISION or Making Parts.
QUOTATIVE DIVISION or Sharing your Total with Groups.
*If you have no negative or an even number of negative signs in the division question, the quotient is positive.
(-6)/(-3)= 2
*When you have an odd number of (-) signs in a division question, the quotient is negative.
6/(-3= -2
b) (-6)-(-9) + [(-14)/(+2)]=
(-6)+(-7)+9
-13+9= -4
Order of Operations 03222011.
(+5) x (-3) + (-6) ÷ (+3)=
To figure out this question I would..
use BEDMAS to tell where the Square Brackets go.
B: Brackets
E: Exponents
D: Division
M: Muliply
A: Addition
S: Subtraction
So, using this I would..
(+5) x (-3) + [(-6) ÷ (+3)]=
You find out the answer that is in the brackets.
[(-6) ÷ (+3)]= -2
Then just add on the rest of the question..
(+5) x (-3)= -15
SOOOO.....
-15 + (-2)= -17
Thursday, March 10, 2011
Angel's Great Big Book of Integers
have 4 owe 4
*Brackets are training wheels. Pure standard form: 4 - 4-
Zero pair = When subtracting something that isn't there, use a zero pair.
Examples of zero pairs: +6 -6, +10 -10, +19 -19, +16 -16, +11-11,+14 -14, +63 -63
-3 -2 = 3-2 = subtraction = adding a negative integer.
5. -3 - (-7) = +4

6. -3 - 7 = -10


8. 3 + 7 = 10

9. -3 + 7 = -4

or 2 groups of (-3)

Sign Rule (negative signs)
Even = When you have an even number of negatives factors the product is POSITIVE.
Odd = When you have an odd number of negative factors the product is negative.
Homework: 290-292 1-19 odds
2x3=6
Wednesday, March 9, 2011
Kathryn's Great Big Book of Integers
Owe 3 owe 7= +4
Owe 3 and owe 7= -10
Owe 3 and have 7= +4


























