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

Great job again Ivory! I like your use of colours, you didn't over do it which is good. You explained everything well too. Again good job.

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