Alec's Great Big Book of Integers

Chapter 1: grade 7 integer review

Zero Pair is 2 number that has same value but opposite signs and adds up to zero Eg. -2,2=0
"When subtracting that is isn't there use a zero pair"

-3 - (-7)=4
You can't take away -7 so we need to use zero pairs. Make a zero pair of -7. Now you have make a zero pair of -7 you can take away now the -7, so it lives you with +7. Then you subtract +7 to -3 and lives you +4
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-3 -7=-10
Make a zero pair 0f +7. Now you have a zero pair you can now take away +7 which lives you -7. Then combine -3 and -7 you're gonna get -10
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3 -7=-4
use a zero pair then take away + 7 and that will live you -7. Then subtract 3 from -7 and you'll get -4
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3 +7=10
Just add 3=7 and you'll get 10
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-3+7=4
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Chapter 2 Multiplying Integers
You can also use the rules of integer for this one

If the first number in the question is negative it's telling you to remove (any number) groups of (any number) E.g (-4)x(5) So remove 4 groups of positive 5 and you will have -20 for your answer
If the first number in the question is positive it's telling you to make (any number) groups of (any number) E.g (4)x(-5) So make 4 groups of negative 5 gives you -20 for your answer

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

Remove 3 groups of -3
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Rules of Integer
When you have an even amount of negative signs the answer will be positive including 0
When you have an odd amount of negative sign the answer will be negative



Chapter 3 Dividing Integers

Partitive division means spreading into parts or groups in a number line. Use when there are 2 negative integers or 2 positive integer

6/2=3
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-6/(-2)=3
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Quotative division means sharing.

(-6)/2=-3
How can you share -6 in 2 groups

Multiplicative Inverse means your solving a question in many ways

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

Sign rule for division is same thing as multiplication
If you have an even amount of negative in a division question the quotient will be positive including 0
If you have an odd amount of negative in a division question the answer will be negative

6/2=3
No negative that means the answer will be positive

-6/(-2)=3
2 negative = postive

(-6)/2=-3
1 negative = negative

6/(-2)=-3
1 negative = negative

Chapter 4 Order of Operations
(+5) x (-3) + (-6) /(+3)=
To solve this you need to know BEDMAS
B stands for Bracket
E stands for Exponent
D stands for division
M stands for multiplication
A stands for addition
S stands for subtraction
You need to work how the BEDMAS is wrote

Since there's a multiplication statement and a division statement I need to do that first so
(5)x(-3) = -15 (-6)/3= -2

15+(-2)=13