Ivorys Big book of Integers

Chapter 1: Grade 7 Integer Review:

Integers are are -negative- and +positive+ numbers. They can be represented as integer chips or on a number line. You get a zero pair when you have a negative and positive of the same number, example: -1 and +1 make 0.

Adding and subtracting integers:

-3-(-7)
you owe 3 and you pay back 7
=4

-3-7
you owe 3 and you owe 7
=-10

3-7
you have 3 and you owe 7
=-4

3+7
you have 3 and you have 7
=10

-3+7
you owe 3 and you have 7
=4

Chapter 2: Multiplying integers:

Sign rule: when you have an even number of negative integers the product will be positive, odd will be negative.
When you know that, multiply the numbers

- = negative integer chip
+ = positive integer chip

(+2)x(+3)=+6
2 groups of positive 3
+++ +++

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


(-2)x(+3)=-6
remove 2 groups of positive 3
+++ +++ = remove
--- ---


(-2)x(-3)=+6
remove 2 groups of negative 3
+++ +++
--- --- = remove

Chapter 3: Dividing Integers:

Partitive division is when you find out how many groups of a number is in another number. It can be shown on a number line:

6 divided by 2=3
__>__>__>
_|_|_|_|_|_|_|_
0 1 2 3 4 5 6

-6 divided by (-2)=3
<____ <____ < ___
_|__|__|__|__|__|__|__
-6 -5 -4 -3 -2 -1 0

Quotative division is sharing groups.

(-6) divided by 2=-3
------
/ \
--- ---

When both integers are the same you can use partitive or quotitive to get the answer.

Chapter 4: Order of operation with integers:

You can solve more complicated questions using order of operations. We use B.E.D.M.A.S. which stands for:
Brackets
Equations
Division
Multiplication
Adding
Subtracting
Square brackets are always done first. Using this order you can solve questions like this:

(+5)x(-3)+(-6) divided by (+3)=
[(+5)x(-3)]+[(-6) divided by (+3)]=
(-15)+(-2)=-17

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!

Arun's Great big Book of integers

Chapter 1: Grade 7 Integer review

In grade 7 I learned that their are 2 types of integers, positive and negative. You can do integer problems on a number line or adding and subtracting integer chips.

(number line)

(integer chips)

Questions:

-3-(-7)

-3- (-7) = +4

-3-7

-3 - 7 = -10

3-7

3-7 = -4

3+7

3=7 = +10

_______________________________________________________________________________

Chapter 2: Multiplying integers

1: (+2) x (+3)=

or 2 groups of three

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

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

or 2 groups of -3

3: (-2) x (+3)=-6
or remove 2 groups of +3

4: (-2) x (-3)=+6
or remove 2 groups of -3

_______________________________________________________________________________

Chapter 3: Dividing integers

Partitive division is where you know the total number of groups but are finding the number of objects that go into each group.

1: 6/2 = 3

2: -6÷ (-2)= (-3)

Quatative Division is where you know the number of objects but you are trying to find the groups.

Ex: (-6)÷2= (-3)

Sign rule:

6÷2= 3
The answer will be positive because the integers are the same sign.

-6÷ (-2)= 3
The answer will be positive because the integers are the same sign.
(-6)÷2= (-3)
The answer will be negative because the integers have different signs.

6÷(-2)= (-3)

The answer will be negative because the integers have different signs.

_______________________________________________________________________________

Chapter 4: Order of operations with integers

(+5) x (-3) + (-6) ÷ (+3)=

In this problem you need to use DMAS

This video on dividing integers really helped me out.

dividing integers