1

RULES FOR SIGNED NUMBERS

ADDITIONAnd

“SUBTRACTION”I have not put in “Animation” to go step-by-step

2

4 + 3 = 7 + ADD Move to Right

All Numbers have a “SIGN” Usually the sign is POSITIVE

and not written.+4 + +3 = +7

Positive PLUS Positive = Positive

+ (bigger)

ADDING 2 Positive Numbers

3

-4 + -3 = -7 + Add, but in the -3Or to the Left

-4 + -3 = -7Negative PLUS Negative = Negative

+ (bigger)

ADDING 2 NEGATIVE Numbers

In This Example: both numbers are Negative

4

4 - 3 = 1 - Move to Left

OLD RULE: Take Away or ‘SUBTRACT’

4 Take Away 3 is 1.

4 - 3 = 1Remember all numbers have a SIGN+ + +

THERE IS NO SUCH THIS AS SUBTRACTION!IT IS ADDITION OF THE OPPOSITE

+4Change the Operation of MINUS (-) Sign to ADDITION (+)

+Change the (+) Sign of the Number to the Opposite-3

Add “3” in the negative (Left) direction

UNLIKE Signs: Take the Difference and the “SIGN” of the larger Number

5

3 - 4 = -1 - Move to Left

OLD RULE: Take Away or ‘SUBTRACT’

4 Take Away 3 is -1.

3 - 4 = 1 Remember all numbers have a SIGN+ + -THERE IS NO SUCH THIS AS SUBTRACTION!

IT IS ADDITION OF THE OPPOSITE

+3Change the Operation of MINUS (-) Sign to ADDITION (+)

+Change the (+) Sign of the Number to the Opposite-4

Add “4” in the negative (Left) direction

UNLIKE Signs: Take the Difference and the “SIGN” of the larger Number

6

7 - 4 = ? - Move to Left

How do you “subtract” when you start with a “Negative” number?

-7 Take Away 4 is ?

7 - 4 = Remember all numbers have a SIGN- +THERE IS NO SUCH THIS AS SUBTRACTION!

IT IS ADDITION OF THE OPPOSITE

- 7Change the Operation of MINUS (-) Sign to ADDITION (+)

+Change the (+) Sign of the Number to the Opposite-4 Add “4” in the negative (Left) direction

-

THIS IS NOW AN ADDITION problem of :Negative Plus Negative = Negative

- 11

7

7 - What does it mean to Subtract a “Negative”?

7 Take Away -2?

7 + +

THERE IS NO SUCH THIS AS SUBTRACTION!IT IS ADDITION OF THE OPPOSITE

+7

Change the Operation of MINUS (-) Sign to ADDITION (+)

+

Change the (-) Sign of the Number to the Opposite

2 = 9THIS IS NOW AN ADDITION problem of

Positive Plus Positive = Positive

-2 = ?

2

+

8

3 - What does it mean to Subtract a “Negative”?

-3 Take Away -5?

3 + +THERE IS NO SUCH THIS AS SUBTRACTION!

IT IS ADDITION OF THE OPPOSITE

- 3

Change the Operation of MINUS (-) Sign to ADDITION (+)

+

Change the (-) Sign of the Number to the Opposite

5 = 2THIS IS NOW AN ADDITION problem of

Negative Plus Positive

-5 = ?

5

+

-

-

UNLIKE Signs: Take the Difference and the “SIGN” of the larger Number