Arween's Great Big Book Of Integers

Chapter 1 : Grade 7 Integer Review

“When subtracting something that isn’t there use a zero pair”

Examples:-3 - (-7)=

-3 - 7 =

3 - 7 =

3 + 7 =

-3 + 7 =

Chapter 2 : Multiplying Integers
Sign rule: when you are multiplying integers and you have 0 or even numbers of negatives, the answer is positive. When you are multiplying integers and you have odd numbers of negatives, the answer is negative.

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

(+2) x (-3)=

(-2) x (+3)=

(-2) x (-3)=

Chapter 3 : Dividing Integers

Partitive Division is how many groups are there in a number.

6 ÷ 2 =

Quotative division is how to share a number into groups
6 ÷ 2 =

Sign rule:
Even: when numbers of negative integers are even the answer is positive

Odd: when numbers of negative integers are odd the answers is negative

6 ÷ 2 = 3 There are no negative integers so that means the quotient is positive.
-6 ÷ (-2) = 3 There are two (even) negative integers that means the quotient is positive.
(-6) ÷ 2 = -3 There is a negative integer (odd) that means the quotient is negative.
6÷(-2) = -3 There’s one negative integer that means the quotient is negative.

Chapter 4 : Order of Operations with Integers

(+5) x (-3) + (-6) ÷ (+3)
-15 + (-6) ÷ (+3)
-15 + -2
-17
When answering Order of Operations remember B.E.M.D.A.S
B = Brackets
E = Exponent
M = Multiplication
D = Division
A = Addition
S = Subtraction
1. First answer numbers with brackets Ex. ( ) or [ ]
2. Then Answer Multiplication and Division
3. Then Addition and Subtraction

Jocelle’s Great Big Book of Integers

Chapter 1 : Grade 7 Integer Review

Reminder :

- Integers can be represented on a number line.

- When subtracting something that isn't there, use a zero pair.

Examples :

Chapter 2 : Multiplying Integers

The Sign Rule :

Chapter 3 : Dividing Integers

Example:

The sign rule for division is the same as the sign rule for multiplication, addition, and subtraction.

6 ÷ 2 = 3 There are no negative signs in the question, therefore the answer it positive.

-6 ÷ (-2) = 3 There is an even number of negative signs in the question, so the answer is positive.

(-6) ÷ 2 = -3 There is an odd number (one) of negative signs in the question, therefore the answer is negative.

6 ÷ (-2) = -3 There is one negative sign in the question, therefore the answer is negative.

Chapter 4 : Order of Operations with Integers

Use B.E.D.M.A.S. to solve equations except "E"

Paulo's Great Big Book of Integers

Chapter 1: Gr.7 Integers Review
-Positive and Negative. When they are together it makes a zero pair.
-We can use number line for integers-"When subtracting something that isn't there, use a zero pair"

-3 - (-7) = 4


-3 - 7= 10

3 - 7= -4

3 + 7= 10




-3 + 7= 4

Chapter 2: Multiplying Integers The Sign Rule is something that will help you with multiplying integers.


The sign rules says when you have a even numbers of negative factors the product positive , when you have a odd number of negative factors the product is negative.



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




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








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










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


Chapter 3: Dividing Integers

Dividing Integers:


Partitive is figuring out how many groups there are in and how many integers are in that group.


Quotative division is knowing how many integers go equally into a certain number of groups.

The sign rule for division is the same as the sign rule for multiplication, addition, and subtraction.

Ex.

6 ÷ 2= 3. There is no negative sign in the question so the answer is positive.

-6 ÷ 2= 3. There is a even number of negative signs in the question, so the answer is positive.

(-6) ÷ 2= -3. There is a odd number of negative sign.

6 ÷ (-2)= -3. There is one negative sign in the question.


Chapter 4: Order of Operations with Integers

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

Use BEDMAS.

1. Put brackets between things that needs to be multiplied and divided because you need to do the bracket numbers first.

2.Solve everything in the brackets and then rewrite everything.

3. Go through it again using BEDMAS