Chapter One:
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.
Showing posts with label "Order of Operations". Show all posts
Showing posts with label "Order of Operations". Show all posts
Thursday, March 24, 2011
Nino's Great Book of Integers
Chapter 1
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)
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) + (-6) / (+3) first you always follow BEDMAS so division is first in the question
after you do the multiplication and finally you do the addition.
example.
(+5) x (-3) + (-6) / (+3) = ( -17)
(+5) x (-3) + (-2)
(-15) + (-2)
(-17)
Tuesday, March 22, 2011
Kaecee's Great Big Book Of Intergers
Chapter 1 Grade 7 Integer Review
8. 3 + 7 = 10
9. -3 + 7 = -4
(+2) x (-3)= -6
or 2 groups of (-3)
(-2) x (+3)= -6
Homework: 290-292 1-19 odds
Quotative division or sharing your total with groups
(+4) + (-4) = 0
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
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
7. 3 - 7 = -4
9. -3 + 7 = -4
Chapter 2 Multiplying Integers
(+2) x (-3)= -6
or 2 groups of (-3)
The negative sign on the first integer is saying to remove 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
HWB: 8.1 90-91
Chapter 3 Dividing Integers
2 types of division:
6/3 = How many groups of (+3) are in 6?
Paratative division or making parts.
6/3=2 Share 6 with 2 groups
Quotative division or sharing your total with groups
(-6)/(-3)=2
How many groups of (-3) are in (-6)? 2 groups
*Only partative will work.
6/3=2
2x3=6
2x3=6
3x2=6
(-6)/(-3)=2
2x(-3)=-6
(-3)x(2)=-6
If you have no negative or an even number of negative signs in a division question the quotient is positive. When you have an odd number of (-) signs in a division question the quotient is negative.
HWB: 96 & 97
Chapter 4 Great Big Book of Integers
How I would solve this equation: (+5) x (-3) + (-6) / (+3)
First, I would follow the rules of BEDMAS, so I'd put square brackets around (-6) / (+3)
After, I would solve what (+5) x (-3)
Then I would add the two answers together which would equal to -17.
(+5) x (-3) + [(-6) / (+3)]
-15 + -2
= -17
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
Brackets
Exponents
Division
Multiplication
Addition
Subtraction
Exponents
Division
Multiplication
Addition
Subtraction
(+5) x (-3) + (-6) / (+3) first you always follow BEDMAS so division is first in the question
after you do the multiplication and finally you do the addition.
example.
(+5) x (-3) + (-6) / (+3) = ( -17)
(+5) x (-3) + (-2)
(-15) + (-2)
(-17)
Saturday, March 19, 2011
Diana'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
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)
(+2)x(+3)=
2 groups of (+3)=(+6)
(-2)x(+3)
2 groups of (+3)=-6
2 groups of (+3)=(+6)
(-2)x(+3)
2 groups of (+3)=-6
(-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)
Monday, March 7, 2011
Marilen's Great Big Book of Integers
Chapter 1 Grade 7 Integer Review
(+4)+(-4)=0 (have four) and (owe four) equals zero Brackets are training wheels
Pure Standard Form is 4-4=0
A zero pair is a pair of the same negative number, and positive number. Together, they equal zero.
Making Zero Pairs:
a) -16=+16 b) -6=+6 c) -10=+10 d) +19=-19 e) -11=+11 f) -14=+14 g) -63=+63
1. -3-(-7) use zero pairs
2. -3-7 use zero pairs
3. 3-7 use zero pairs
4. 3+7 = 10
5. -3+7= - 4
Chapter 2 Multiplying Integers
Sign Rule: When you have an even amount of negative signs, the answer is positive. When you have an odd amount of negative signs, the answer is negative.
1. (+2) x (+3)= 6 [2 groups of 3]
2. (+2) x (-3)= -6 [2 groups of -3]
3. (-2) x (+3)= -6 [remove 2 groups of 3]
4. (-2) x (-3)= 6 [remove 2 groups of -3 ]
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.
Links Multiplying & Dividing Integers Bedmas
(+4)+(-4)=0 (have four) and (owe four) equals zero Brackets are training wheels
Pure Standard Form is 4-4=0
A zero pair is a pair of the same negative number, and positive number. Together, they equal zero.
Making Zero Pairs:
a) -16=+16 b) -6=+6 c) -10=+10 d) +19=-19 e) -11=+11 f) -14=+14 g) -63=+63
1. -3-(-7) use zero pairs
2. -3-7 use zero pairs
3. 3-7 use zero pairs
4. 3+7 = 10
5. -3+7= - 4
Chapter 2 Multiplying Integers
Sign Rule: When you have an even amount of negative signs, the answer is positive. When you have an odd amount of negative signs, the answer is negative.
1. (+2) x (+3)= 6 [2 groups of 3]
2. (+2) x (-3)= -6 [2 groups of -3]
3. (-2) x (+3)= -6 [remove 2 groups of 3]
4. (-2) x (-3)= 6 [remove 2 groups of -3 ]
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.
Links Multiplying & Dividing Integers Bedmas
Ryan"s Great Big Book of Integers
Chapter 1
Integers
Integers
(+4) + (-2)
^
positive 4 and negative 2
have 4 and owe 2
STANDARD FORM :
+4 + -2=
4 - 2= 2
Making Zero Pairs
-16 +16, +5 -5, +11 -11, -2 +2,
+6 -6, -10 +10, -9 +9, +3 -3
Chapter 2
Multiplying Integers
Chapter 3
Dividing Integers
Dividing Integers
Partative division is making making parts.
Quotative division is sharing your total with groups
.
When you have an odd number of (-) sign in a division question the quotation is negative.
6÷2= +3
-6÷(-2)= +3
6÷(-2)= -3
Chapter 4
Order of Operation With Integers
Order of Operation With Integers
B-rackets
E-xponents
D-ivision
M-ulitiplicaion
A-ddition
S-ubtraction
(+5) x (-3) + (-6) ÷ (+3)=
(-15) + (-6) ÷ (+3)=
(-15) + (-2)
(-17)
Bennette's Great Book of Integers
CHAPTER ONE:
(+4) + (-2) = -2
VIDEOS:
GRADE 7 INTEGER REVIEW.
| ----|-- |
| --and --|____negative 2
| ---------|_____owe 2
|
|___positive 4
|___have 4
STANDARD FORM:
4-2= -2
Make zero pairs:
a) -16 = +16
b) +6 = -6
c) -5 = +5
d) -10 = +10
e) +11 = -11
f) -9 = +9
g) -2 = +2
h) +3 = -3
-6 +2 = -4
-6 -2 = -8
-6 +10 = +4
a) 6- (-4) = +10
b) -3-6 = -9
c) -2-(-3) = +1
SUBTRACTION= adding a negative integer
HOMEWORK:
-6-(-4) = -2
-10+6 = -4
6-7+2 = +11
14-(-3) = +17
* -3-(-7) = +4
* -3-7 = -10
* 3-7 = -4
* 3+7 = +10
* -3+7 = +4
CHAPTER TWO:
MULTIPLYING INTEGERS.
(+2) x (+3) or 2 groups of (+3) = 6
OF normally means multiplying in word problems.
(+2) x (-3) = -6
(-2) x (+3) = -6
(-2) x (-3) = +6
(-3) x (-4) = +12
DO page. 289 Show You Know
and page 290-290 odd numbers only
HOMEWORK BOOK page 90-91
NUMBER LINE:
(+2) x (+3) = 6
(+2) x (-3) = -6
Seatwork:
0(+4) x (+5) = +20 o (+5) x (+4) = +20
1(-2) x (+3) = -6 1(+3) x (-2) = -6
2(-1) x (-6) = +6 2(-4) x ( -5) = +20
(-1) x (-6) x (-1) x (-1)
+6 x (-1) = -6 x (-1) = -6
SIGN RULE (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 product is negative.
HOMEWORK:
DO page 297 - textbook
page 92-93 - homework book
LINKS:
CHAPTER 3:
DIVIDING INTEGERS:
Two Types of Division
6/3 = 2
How many groups of (+3) are in +6?
PARTATIVE DIVISION or Making Parts
6/3 = 2
Share 6 with 3 groups
QUOTATIVE DIVISION or Sharing Your Total with Groups
(-6) / (-3) = 2
How many groups of (-3) are in -6
Only partative will work.
6 / 3 = 2
2 x 3 = 6
3 x 2 = 6
(-6) / (-3) = 2
2 x (-3) = -6
(-3) x (2) = -6
If you have no negative or an even number of negative signs in a division question, the quotient is positive.
-6 / 3 = - 2
Share (-6) with 3 groups
QUOTATIVE DIVISION
-6 / (+3) = (-2)
(-2) x (+3) = -6
(+3) x (-2) = -6
6 / (-3) = -2
When you have an odd number of ( - ) signs in a division question, the quotient is negative.
You'll see something like:
ORDER OF OPERATIONS WITH INTEGERS
When solving integer problems, you need to know or decide what operation to perform.
The order of operations for integers is the same as for whole numbers and decimals.
You should always solve an integer expression or equation by:
1. Brackets. (IF there's a square bracket, do that first then the round bracket)
2. Multiply and divide in order, from left to right.
3. Add and subtract in order, from left to right.
To solve the equation :
(+5) x (-3) + (-6) ÷ (+3),
You have to follow the rules I listed up top. But as you see, the brackets used in that expression was only used as a guide, so you don't have to do something about that. So first, multiply (+5) to (-3) and you'll get (-15). Now, divide (-6) and (+3) and you'll get (-2). Lastly, add (-15) and (-2) and you'll get (-17) as your final answer.
Still having a hard time solving this? Check out this links to help you with the Order of Operations.
http://www.mathgoodies.com/lessons/vol5/intro_integers.html
VIDEOS:
Please correct me if I made any mistakes or tips on how I could make my blog better :)
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