Anabelle's Great Big Book of Integers

Chapter 1: Grade 7 Integer review

From last year I learned that integers are positive and negative whole numbers. Integers can be represented using integer chips (2 different colored chips representing positive and negative integers) and with a number line as well.

Here are the pictures of the two:

(number line)


(integer chips)



Questions:

-3-(-7)


-3-7


3-7


3+7

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Chapter 2: Multiplying Integers

(+2) x (+3)=

or two 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 3: Dividing Integers

Partitive division: a problem where you know the total number of groups, and you are trying to find the number of items in each group.

6÷2= 3

-6÷ (-2)= (-3)


Quotative Division: a problem where you know the number of items in each group and are trying to find the number of groups

(-6)÷2= (-3)


Sign rule:

6÷2= 3
The answer will be positive because the integers are the same sign.

-6÷ (-2)= 3
The answer will be positive because the integers are the same sign.

(-6)÷2= (-3)
The answer will be negative because the integers have different signs.

6÷(-2)= (-3)

The answer will be negative because the integers have different signs.
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Chapter 4: Order of Operations with Integers

(+5) x (-3) + (-6) ÷ (+3)=

For this problem you will probably only need the DMAS in BEDMAS.


I've got to admit, this video made things really easy to understand: