Chapter 1 grade 7 Integer review

In class we learned about the "zero pair".

A zero pair is when you have a positive and negative which when added create 0.

Another way to explain it is you owing money and you having money. If you owe $1 and you have $1 then it creates 0.

In grade 7 we were given "training wheels" or brackets. This term you wont see brackets as much.

Here are some questions you can try if you don't understand.

-3-(-7) = +4

3 negatives subtracting 7 negatives. You only got 3 negatives that can subtracted, which would leave you with 4 negatives. When subtracting something that isn't there, use a zero pair. (Ryan SJ) So then you add 4 positives to create the zero pair. Now you can subtract the -4 and you will be left with +4.

-3-7 = -10

(many of you may think to subtract, but if there's no sign then it is automatically addition/positive)

3-7 = -4

3 + 7 = +10

3 positives plus 7 more positives = 10 positives

Great Big Book of Integers part 2

Multiplying Integers

(+3)(+8) When the brackets touch it means they "kiss" or multiply

3(+8) When a bracket is touching a number it also means the same thing

Here are some questions to try!

(+2) x (+3) or 2 Groups (x) of +3

+++ <- Group 1 +++ <- Group 2 ++++++ < onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/-NCKEdof_I5E/TXhLCVCaAJI/AAAAAAAAAEk/T-V0lkqgjbQ/s1600/Integers3.bmp">

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

+++ +++ <= Remove. Left with > ------

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

The Great Big Book Of Integers Part 3

Dividing Integers

Partitive Division is How many groups of ____ "Go Into" ___?

6÷2 = 3

-6÷(-2) = 3

Quotitive Division

Sharing with groups. When both integers are the same(positive/negative) you can use partitive or quotitive division. The will both be positive answers.

Multiplication inverse is another form of writing the same equation.

e.g. 6 ÷ (-2) = -3 or 6 ÷ (-3) = -2

The sign rule is that when there is a even amount of (-) signs its positive.

When there is an odd amount of (-) signs then it will be negative.

If they are the both the same signs, then its positive.

The great big book of integers part 4

Order of operations with integers

I would solve the equation (+5) x (-3) + (-6) ÷ (+3) by using BEDMAS

B.rackets - Start with the brackets and square it up

E.xponents - No exponents so we move to the D

D.ivision - We then divide (-6) by (+3). 6 ÷ 3 = 2 *odd amount of (-) so negative* -2

M.ultiplication - Now we do the multiplication. 5 x 3 = 15 *odd amount (-) so negative* -15

A.ddition - Last mathematical symbol we have is the addition. So add them up!

S.ubtraction - No subtraction signs skip this step.

[(+5) x (-3)] + [(-6) ÷ (+3)] - add the "square brackets"

(-15) + (-2) is the New equation

15 + 2 = 17 *even amount of (-) signs so its positive* +17

STUDY WE ALL HAVE A TEST ON TUESDAY March 22, 2011

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