Anna's Great Big Book of integers

Grade 7 integer review

- number line

-When subtracting something that isn't there use a zero pair.

Zero pair is:
6 -6 = 0

10 -10 = 0

11 -11 = 0

14 -14 = 0

63 -63 = 0
-When Subtracting something that isn't there, use a zero pair.

Integer examples
without pictures

-6 - ( -4) = -2

-10 +6 = -4

6 -7 +2 = 3

4 - ( -3) = 11

with pictures

+3 + (-7)= -4

-3+(-7) = -10

-3 +7= 4

3 +7= 10

You try;
-7 -2 =

5-(-1)=

10 -3=

14 - (-9)=

Sorry guys I couldn't Upload the video, so I'll just give you the link

"Adding and Subtracting Integers"

Chapter 2 "Multiplying Integers"

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

(+2) (+2) (+2) = (+6)

or you can also have repeated addition (2+2+2 ) =6

(-2) x (+3) or 3 x -2 = -6

remove 2 groups of +3

(+2)x (-3)

2 groups of (-3)

Applying the sign rule

(-2) x (-3)

remove two groups of -3
Here is where we apply the sign rule

When you have and even number of negative factors

the answer is POSITIVE

The answer is 6

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

Remove 2 groups of positive 3

Sign Rule

When you have an odd number of negative factors

the answer is NEGATIVE

You try;

(+4)x (+2) =

(+5) x (-2)=

(-4) x (+2) =

(-6)x (-1)=

Heres a video about "Multiplying integers"

Chapter 3 "dividing integers"

There are two types of Division

Partitive Division or making parts/groups of

+6 ÷ +3 =

how many groups of +3 are there in +6 ? 2

(3x2=6)

(6÷3=2)

(2x3=6)

(6÷2=3)

making parts using number line

There are 2 +3's in +6

Quotative Division or sharing your total with groups

+6 ÷ +3

Here's a video about "dividing integers"

Chapter 4 "Order of Operations with Integers"

(+5) x (-3) + (-6)÷(+3)