Jomer's Great Big Book Of Integers

Chapter 1 Grade 7 Integer Review

Questions:
-3 - (-7)= +4
-3 -7= -10
3 -7= 4
3 +7= 10
-3 +7= 4

Chapter 2 Multiplying Integers

(+2) x (+3)=

(+2) x (-3)=

(-2) x (+3)=

(-2) x (-3)=

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 .

Chapter 3 Dividing Integers

Partitive Division is how many groups of a number are in a given value.

Quotative Division is sharing a certain number between a given value.

Sign Rule

In a division question with an even amount or no (-) signs the quotient will be positive.
In a division question with an odd number of (-) signs the quotient will be negative.

Order of Operations with Integers

[(+5)x(-3)]+(-6)/(+3)=-7

(-15)+(-6)/(+3)=-7

(-21)/(+3)=-7

Brandon's Great Big Book of Integers

Chapter 1

Grade 7 Integer Review

Questions for class

-8 - (-4) = -4

-10 + 8 = -2

8 - 7 + 2 = 3

17 - (-3) = 14

- 5 - (-7) = 2

- 2 - 5 = -7

3 - 7 = -4

5 + 5 = + 10


-5 + 6 = - 1

Chapter 2

Multiplying Integers
(+4)x(+2) = 8

Make 4 groups of positive 2


Make 4 groups of negative 2

(+4)x(-2) = -8

(-4)x(+2) = -8
Remove 4 groups from positive 2


(-4)x(-2)= 8

Remove 4 groups of negative 2

Chapter 2

Dividing Integers

Even = When you have a even number of negative factors your product is positive.

Odd = When you have a odd number of negative factors your product is negative.

Partitive Division - when you use groups to find your quotient.

6 ÷ 2 = 3


(-6) ÷ (-2) = 3

Quotative Division - Sharing numbers in groups

(-6) ÷ 2 = - 3

Chapter 4

Order of Operations

(+6) x (-2) + (-6) ÷ (+2)= ?

1) Always do multiplication and division first
2)Put square brackets around (+6) x (-2) ex. [(+6) x (-2)]
3)Put square brackets around (-6) ÷ (+2) ex. [(-6) ÷ (+2)]
4) Solve (-12)+(-3) = + 15

Karl's Great Big Book of Integers

Chapter 1 Grade 7 Review
Questions from class
1) -3 - (-7)=4


2) -3 - 7=-10


3)3 - 7=-4



4) 3 + 7=10



5) -3 + 7 = 4



Chapter 2 Multiplying Integers

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

+++ +++ 2 groups of +3

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

--- --- 2 groups of -3

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



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




Sign Rule (Negative Signs)

Even: When you have an even number of negative factors the product is positive.
Odd: When you have a odd number of negative factors the product is negative.


Chapter 3 Dividing Integers

Partitive Division: When you use groups to find your quotient

ex. 6 ÷ 2= 3



-6÷ (-2)= 3



Quotative Division: Share a number between an amount of groups

ex. (-6)÷2= -3



Multiplicative Inverse: When you rewrite a division question to a multiplication question because you can't find a way to use partitive or quotative division.

ex. 6÷(-2)=
you can't share 6 with -2 people so you use the multiplicative inverse
(-2)x(-3)=6
(-3)x(-2)=6
answer: -3

Chapter 4 Order of Operations with Integers

(+5) x (-3) + (-6) ÷ (+3) = ?

You can use BEDMAS to solve this question
BEDMAS stands for:
B-Brackets
E-Exponents
D-Division
M-Multiplication
A-Addiction
S-Subtraction

Ex.
There are no brackets or exponents so you could skip the B and the E.
There is a division question and that is (-6) ÷ (+3).
(-6) ÷ (+3) = -2.
The question now is (+5) x (-3) + (-2) = ?
There is a multiplication question and that is (+5) x (-3).
(+5) x (-3) = -15
The question now is (-15) + (-2)
Now all you have to do is solve (-15) + (-2).
(-15) + (-2) = -17.
Your answer is -17

Hazel's Big Book of Integers

Chapter 1 Grade 7 Integer Review

Questions:

-3 - (-7)= +4

-3 -7= -10

3 -7= 4

3 +7= 10

-3 +7= 4

Chapter 2 Multiplying Integers


(+2) x (+3)=

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

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

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

Chapter 3 Dividing Integers

Partitive Division is how many groups of a number are in a given value.

Quotative Division is sharing a certain number between a given value.

Sign Rule

In a division question with an even amount or no (-) signs the quotient will be positive.

In a division question with an odd number of (-) signs the quotient will be negative.

Order of Operations with Integers

Breanna's Great Big Book of Integers

Chapter 1:

Adding and Subtracting Integers

-6-(-4)= (-2)

-10+6= (-4)

6-7+2= 1

14- (-3)= 17

-3-(-7)= 4

-3-7= (-10)

Chapter 2:

Multiplying Intergers

Examples:

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

repeated addition

2+2+2= +6

two groups of +3

(2)x (+3)=

Questions

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

2 groups of (+3)

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

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

Chapter 3:

Dividing Integers

Partitive Division is when you use groups of to get to your quotient.

6/2=3

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

(-6)/2= (-3)

Multiplicative Inverse is when you use multiplication to figure out your quotient.

6/(-2)=

(-2)x(-3)=6

(-3)x(-2)=6

Means 6/(-2)=(-3)

Sign Rules

In a divison question with an even amount or no negative signs the quotient will be positive.

example: 6/2=3

(-6)/(-2)=3

In a divison question with an odd number of negative signs the quotient will be negative.

example (-6)/2=3

6/(-2)= (-3)

Chapter 4

Order of Operations with Intergers

(+5)x(-3) + (-6)/(+3)=

Scince there are no square brackets or exponents we should start with division and multiplication going from left to right.

[(+5) x (-3)] +[(-6)/(+3)]=

(-15)=(-2)=

After your done with division and multiplication you should do the addition

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