Ryan's Great Big Book Of Integers

Chapter 1:

Grade 7 Integer Review

Integers could be express using a number line or integer chips.

In integers, when adding both positive and negativewith the same number they will cancel each other out making the answer a zero.

eg. (+5) + (-5) or (-5) + 5

The brackets for the integers are like training wheels for making equations more understandable
but mostly we need to use standard form.

eg. (+6) + (-6) In standard form 6 -6

Chapter 2:
Multiplying Integers

The Sign Rule:

When you have an even number of negative factors, the product will be POSITIVE.
eg. (-4) x (-4) = +16

When you have an odd number of positive factors, the product will be NEGATIVE.
eg. (+5) x (-4) = -20

Ways of showing how to multiply integers:

Positive x Positive = Positive: (+2) x (+3) = +6 , (2) x (3) = 6 , (2) (3) = 6
or
2(3) = 6
or
2 groups of (+3)

Negative x Positive = Negative: (-2) x (+3), remove 2 groups of (+3)

Negative x Negative = Positive: (-2) x (-3), remove 2 groups of (-3)

Chapter 3:
Dividing Integers

The way of reading the dividing integers is:
- How many groups of __ are in __?
- How many __'s go into __?

Partitive Division - The making of groups or parts.

Quotative Division - Sharing with groups.

The quotient of the two integers with the same sign der of Operations with Integers

B.E.D.M.A.S. is used to do the order of operations for integers which stands for:

Brackets
Exponents
Division
Multiplication
Addition
Subtraction

eg.
(+5) x (-3) + (-6) ÷ (+3) =

[(+5) x (-3)] + [(-6) ÷ (+3)] =

(-15) + (-2) = -17

Albert's Great Big Book of Integers

Chapter 1:
Grade 7 Integer Review

Integers could be express using a number line or integer chips.







In integers, when adding both positive and negative with the same number they will cancel each other out making the answer a zero.

eg. (+5) + (-5) or (-5) + 5






The brackets for the integers are like training wheels for making equations more understandable
but mostly we need to use standard form.

eg. (+6) + (-6) In standard form 6 -6

Chapter 2:
Multiplying Integers

The Sign Rule:

When you have an even number of negative factors, the product will be POSITIVE.
eg. (-4) x (-4) = +16

When you have an odd number of positive factors, the product will be NEGATIVE.
eg. (+5) x (-4) = -20

Ways of showing how to multiply integers:

Positive x Positive = Positive: (+2) x (+3) = +6 , (2) x (3) = 6 , (2) (3) = 6
or
2(3) = 6
or
2 groups of (+3)

Negative x Positive = Negative: (-2) x (+3), remove 2 groups of (+3)

Negative x Negative = Positive: (-2) x (-3), remove 2 groups of (-3)


Chapter 3:
Dividing Integers

The way of reading the dividing integers is:
- How many groups of __ are in __?
- How many __'s go into __?

Partitive Division - The making of groups or parts.

Quotative Division - Sharing with groups.

The quotient of the two integers with the same sign is Positive.
The quotient of the two integers with the same sign is Negative.

Chapter 4:
Order of Operations with Integers

B.E.D.M.A.S. is used to do the order of operations for integers which stands for:

Brackets
Exponents
Division
Multiplication
Addition
Subtraction

eg.
(+5) x (-3) + (-6) ÷ (+3) =

[(+5) x (-3)] + [(-6) ÷ (+3)] =

(-15) + (-2) = -17

Kayla's Great Big Book of Integers

Chapter 1:
grade 7 Integer Review
______________________

With integers, you have zero pairs.

zero pairs are when you have the same number of positive integers that you do negative, and they cancel themselves out.

ex. (+3) + (-3) = 0

There doesn't have to be brackets, but for beginners, it becomes useful when you have a longer equation to solve. Standard form is what people usually use.

ex.
+4 -4
4-4 <---that is standard form.

SIGN RULE:
When you have an even number of negative factors, the product is always a POSITIVE.
When you have odd number of negative factors, the product is always a NEGATIVE.


Chapter 2:
Multiplying Integers
______________________

(+3) x (+8)
(+3)(+8)
3(+8)

(+3) x (+3) <--- that means ' three groups of plus three'
+++ +++ +++ <--- three groups of plus three
________________________________
MULTIPLYING IS REPEATED ADDITION!!!
ex.
(+1) + (+1) + (+1) =
3 x (+1) =
_______________________________

(+2) x (+3)
The 'x' means 'groups of.'

(-2) x (-3)
This means remove 2 groups of -3

1. (4) x (+2) = ++ ++ ++ ++
2. (5) x (-2) = -- -- -- -- --
3. (-4) x (2) = ---- ----
4. (-6) x (-1) = ++++++


Chapter 3:
Dividing Integers
____________________

Partitive Division: How many parts
ex. 15 ÷ (-3) = 5
There are 5 parts of 3 in 15.

Quotative Division: Sharing in groups
15 ÷ 3 = 5
There are 3 groups of 5 in 15.

When both integers are the same, you can use both Partitive or Quotative Division.
ex.
(+15) ÷ (+3)
or
(-15) ÷ (-3)


Chapter 4:
Order of Operations
____________________

When you use the order of operations, you use BEDMAS.

Brackets [and square brackets]
Exponents
Division
Multiplication
Addition
Subtraction

Square Brackets [ ], come first in the order of operations. If you see brackets in the equation, but there are also square brackets, do the square brackets first.

To solve this problem, you would use BEDMAS to get the answer.
ex.
(+5) x (-3) + (-6) ÷ (+3)=
(-15) + (-2)=
= -17

REMEMBER: two Negatives equal a Positive.

Angelo's Great Big Book of Integers

Chapter 1 Grade 7 Integer Review

Zero pair is when you added a positive and a negative number.
Ex. +6 + -6= 0

Standard Form +6-6

Integer Chips














Chapter 2 Multiplying Integers

Sign Rule
Even- When you have an even number of negative factors the product is POSITIVE
Ex. +5 + +5= +10

Odd- When you have an odd number of negative factors the product is NEGATIVE

Chapter 3 Dividing Integers

Partitive Division- When you divided it into a parts
Quotative Division- When your sharing group

Chapter 4 Order of Operations with Integers
To solve this problem: (+7) x (-3) + (+4) ÷ (-5)
You Should use B.E.D.M.A.S to solve this problem
B-Brackets
E-Exponent
D-Division
M-Multiplication
A-Addition
S-Subtraction

Kim's Great Big Book Of Integers

Chapter 1: Grade 7 Integer Review

In Grade 7, I learned that integers were whole numbers that were positive and negative. They could be represented using integer chips and a number line.

Find zero pairs for the following integers.

-6 +6

+10 -10

19 -19

-16 +16

-11 +11

+14 -14

63 -63

Integers ala Grade 7

have 4 owe 4

(+4) + (-4) = 0

Brackets are training wheels.

Standard form:

+4 -4

4-4 <--- pure standard form

Questions:

-3 - (-7) = +4

-3 - 7 = -10

3 - 7 = -4

3 + 7 = +10

-3 + 7 = +4

Chapter 2

Multiplying Integers

Sign Rule:

Even= when you have an even number of n

egative factors the product is POSITIVE.

Odd= when you have an odd number of negative factors the product is NEGATIVE.

(+2) x (+3) = +6

means 2 groups of (+3)

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

means 2 groups of (-3)

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

means remove 2 groups of (+3)

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

means remove 2 groups of (-3)

Dividing Integers

How many groups of ___ are in ___?

How many __'s go into __?

Partative Division - making parts or groups

6 ÷ 2 = 3

How many groups of 2 are in 6?

How 2's go into 6?

-6 ÷ (-2) = 3

How many groups of (-2) are in -6?

How many (-2)'s go into -6?

Quotative Division - sharing with groups

(-6) ÷ 2 = -3

share groups

When both integers are the same you can use partative and quotative.

(+15) ÷ (+3) = (+5) or (-15) ÷ (-3) = (-5)

You can use multiplicative inverse to help solve 6 ÷ (-2) by finding the answer which is (-3) and switching it with (-2) making the question 6 ÷ (-3) and the answer would be (-2).

Order of Operations with Integers

Brackets

Exponents

Division

Multiplication

Addition

Subtraction

Solve this question:

(+5) x (-3) + (-6) ÷ (+3) =

[(+5) x (-3)] + [(-6) ÷ (+3)] =

(-15) + (-2) =

(-17)

Here's a link about integers.

Jieram's Great Big Book of Integers

Chapter 2
Grade 7 Integer Review

An Integer is what is more commonly known as a Whole Number. It may be positive, negative, or zero, but it must be whole. You can use Integers on a number line or using integer chips.

Integer Chips









If you're Subtracting something that isn't there use a Zero pair.

1) -4 - (-8) = +4
2) -7 - (-9) = +2
3) -3 - (-7) = +4



Number Line














Chapter 2
Multiplying Integers

Sign Rule
If the product of two integers with the same sign the answer would be Positive
Example: (+2) x (+5) = +10

If the product of two integers with the different sign the answer would be Negative
Example: (+2) x (-5) = -10

Chapter 3
Dividing Integers

Partitive Division is when you divide it into parts








Qoutative Division - Sharing with group













Chapter 4
Order of Operation with Integers

To solve problem like these:

-24+[(-8)/(+4)]=

(+5) x (-3) + (-6) ÷ (+3)=

You'll have to use BEDMAS
Brackets, Exponents, Division, Multiplication, Addition, and Subtraction

Jae Anne's Great Big Book of Integers

Grade 7 Integer Review

 Chapter 1Here are some exercise we did in class.

Zero Pair is when the same negative (-1) and a positive (+1) number are combined, the result is zero.

      example:  -6   +6        +10  -10       19 +19

                        -16  +16       -11   +11    +14  -14      63   -63

Brackets are training wheels.

     example:  (+4) + (-4) = 0

                       (have 4) + (owe 4) = 0

                       4 - 4  <== pure standard form

examples:

-6 +2 = -4

-6 -2 = -8

-6 +10 = +4

Here are the * questions.
When subtracting something isn't there use zero pair.

-3 - (-7) = 4

  

-3 -7 = -10

3 -7 = -4

3 +7 = 10

  



-3 +7 = 4

Chapter 2

Multiplying Integers

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.

(+2) x (+3) = 6
2 grops 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)

Dividing Integers

How many groups of __ are in __?

How many __'s go into __?

Partitive Division - making parts or group

6 ÷ 2 = 3

-6 ÷ (-2) = +3

Qoutative Division - sharing with groups

  (-6)    ÷       2       =

 share        group

 

When both integers are the same you can use partitive or qoutative division.

(+15) ÷ (3) = (+5) or 15 ÷ 3 = 5

Multiplicative Inverse can help solve 6 ÷ (-2) by finding the answer which is (-3) and switch it places with (-2) that makes 6 ÷ (-3) and the answer is (-2).

Sign Rule

When 2 integers have the same sign (+) ÷ (+) or (-) ÷ (-) the answer would be POSITIVE.

6 ÷ 2 = 3

-6 ÷ (-2) = +3

When 2 integers have different sign (+) ÷ (-) or (-) ÷ (+)the answer would be NEGATIVE.

(-6) ÷ 2 = -3

6 ÷ (-2) = -3

Order of Operations with Integers

(+5) x (-3) + (-6) ÷ (+3)

We can solve this problem by:
1) put brackets where you see multiplication and division happens
     [(+5) x (-3)] + [(-6) ÷ (+3)]
2) solve the ones in brackets
     (- 15) + (-2)
3) find the last answer
     (-17)


Here is a video about multiplying integers

Derec`s Great big Book of integers

Chapter 1 Grade 7 integer review A Zero pair is when you have a positive and a negative which when added creates 0

ex. (+8)+(-8) (+18)+(-18) (+22)+(-22)

Grade 7 Integers.

(+) Positive means you have.

(-) Negative means you owe.

() The brackets are like training wheels.

The standard form of intigers is +5-5.

The pure standard form is 5-5

Chapter 2 Multiplying Integers

If the brackets are touching, you have to multiply

ex. (+5)x(+4) or (+4)x(+5) <- Standard Form.

You can use repeated edition to solve/answer.

ex. (+4)+(+4)+(+4)+(+4) or (+8)+(+8)

(+3)x(+5) =(+15) or 3 groups of 5 is 15

If the first number is a negative,you need to multiply the two numbers and then you have to remove .

Chapter 3 Dividing Integers

(+10)/(+2), 10/2, how many 2 are in 10?, how many 3's go into 10?

Paratative Division is when you divide into a part

Chapter4 Order of Operations with integers

You can solve (+4)x(-2)+(-8)/(+2) byy using BEDMAS.

(+4)x(-2)+[(-8)/(+2)]=(-12)

[(+4)x(-2)] + (-4)=(-12)

[(-8)+(-4)]=(-12)

'

Great Big Book Of Interger

Grade 7 Integers Review

Chapter 1
Zero pair is a pair of number with a positive and negative sign whose sum is Zero.
Examples: -6+6 +10-10 19-19
-16+16 -11+11 +14-14 63-63

Brackets are training wheels

Examples :

Have +4 owe -4

(+4) - (+4)= 0

Standard Form

+4 + -4

+4 -4

4-4

4-4 Standard Form

Integer Chips

Multiplying Integers

Example:

(+2) x(+3)=+6

(2)x(3)=6

(2) (30=6 2(3)=6

Standard Form

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

Partitive Division: is finding the total number in a group.

Sign Rule for Division-

if the quotient of 2 integers with the same sign with an even amount of (-) signs then it equals positive, if the quotient of 2 integers with different signs then it equals negative.

Links:

http://www.youtube.com/watch?v=S-AaL3q3NfQ

http://www.youtube.com/watch?v=2CRSXo3mE74

PROBLEM UPLOADING VIDEO!