Chelsea's Great Big Book of Integers

Chapter One: Grade 7 Integer Review

Integers:

-number lines
-integer chips
-zero pairs
-negative and positive numbers

red integer chip = positive
blue integer chip = negative

















* when subtracting something that is not there, use a zero pair

Find zero pairs for the following integers:

- 6 +6
+10 -10
+19 -19
-16 +16
-11 +11
+14 -14
+63 -63

Integers a la Grade 7:

(+4)+(-4)=0

have four (+4)
own four (-4)

Brackets are training wheels.

Standard form:

4-4 <-- (pure standard form)

Questions:

(-3) - (-7) = +4
(-3) - (+7) = -10
3 - 7 = -4
3 + 7 = +10
(-3) + (+7) = -4

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Chapter Two: Multiplying Integers

(+2) x (+8) = +16
(2) x (8) = 16
(2)(8) = 16
2(8) = 16 <-- (standard form)


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





(2) x (-3) or 2 groups of 3





(-2) x (+3) or remove 2 groups of +3








(-2) x (-3) or remove 2 groups of -3








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Chapter Three: Dividing Integers

Partitive division












Quotative Division











Multiplicative Inverse can help us with the question 6÷(-2)= by switching the numbers around .

Sign Rules:

6÷2= and -6÷(-2)

If the numbers have the same sign, the answer will be positive.

(-6)÷2= and 6÷(-2)=

If the numbers have different signs, the answer will be negative.

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Chapter Four: Order of Operations with Integers

BEDMAS stands for: Brackets, Exponents, Division, Multiplication, Addition, Subtraction







Now to finish things off, I found a helpful video about multiplying and dividing integers. It's a bit lengthy, but I'm pretty sure you can learn more from it:



Here's a link I found about integers as well.