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

Kristel's Great Big Book of Integers

Chapter 1: Grade 7 Integer Review

-Positive and Negative. When they are combined it makes a zero pair

-Number lines and integer chips can be used

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

Examples:

-3 - (-7) = 4

-3 - 7 = -10

3 - 7 = -4

3 + 7 = 10

-3 + 7 = 4

Chapter 2: Multiplying Integers

There is something that would help you multiplying integers and it is The Sign Rule:

The sign rule says that when you have an even number of negative factors the product is positive and when you have an odd number of negative pactors the product is negative.

Examples:

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:

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

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

The rule for division is: When there is one negative sign or odd number of negative signs the quotient is negative

6÷2= 3

^ The answer is +3 because there are no negative signs

-6÷ (-2)= 3

^ The answer is +3 because there is an even number of negative signs

(-6)÷2= -3

^ The answer is -3 because there is an odd number of negative signs

6÷(-2)= -3

^ The answer is -3 because there is an odd number of negative signs

Chapter 4: Order of Operations with Integers

(+5) x (-3) + (-6) ÷ (+3)=

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

^^ Use BEDMAS: Brackets, Exponents, Division, Multiplication, Addition, Subtraction

1. Put square brackets around anything that needs to be multiplied or divided because that shows you it needs to be done first.

2. Solve what is in the square brackets and re write everything.

3. Go through the equation left to right using BEDMAS, solve and re write until you get to your answer.