Net Result

Positive 9

(+5) + (+4) = +9Or

(+4) + (+5) = +9

Finding The Sum of Positive Integers

When finding the sum of positive integers you add the magnitudes and keep the positive sign.

Net Result

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

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

Finding The Sum of Negative Integers

When finding the sum of negative integers you add the magnitudes and keep the negative sign.

Net Result

Positive 2

(+7) + (-5) = +2Or

(-5) + (+7) = +2

Finding The Sum of a Positive and a Negative Integer

When finding the sum of a positive and a negative integer you subtract the magnitudes and keep the sign of the integer with the largest magnitude.

Net Result

Zero

(+5) + (-5) = 0Or

(-5) + (+5) = 0

Integer Recap

Positive symbol means

Negative symbol means

You Haveor

You’ve Earned

You Owe

(+3) + (-7)

(-5) + (-2)

(-3) + (-6) + (+4)

(+3) + (-2) + (+2)

(+50) + (-100)

(-25) + (+10)

-60 + -20

-20 + 15

30 + -5

Rules For Adding IntegersPositive Integers

To add two positive integers you add the magnitude and keep the positive sign.

Negative IntegersTo add two negative integers you add the magnitude and keep the negative sign.

A Negative and a Positive IntegerTo add a positive and a negative integer you subtract the magnitudes and keep the sign of the integer with the largest magnitude.

(+1) – (+4) = (+1) – (+4) = -3

(-5) – (+3) = (-5) – (+3) = -8

Try These (-8) – (-3) = (+4) – (-5) = (-4) – (-5) = (+1) – (-6) = (-5) – (+6) = (-2) – (-3) = (-20) – (-10) = (+30) – (-3) = (-20) – (-30) =

Try These1. (-5) + (+2) = -32. (+6) + (-2) = +43. (-2) – (-6) = +4 4. (+7) + (-2) = +55. (-5) + (+2) = -36. (+8) + (-4) = +47. (-3) – (+6) = -98. (+50) – (-10) = +609. (-20) + (-30) = -50

(+2) x (+4) = (+2) x (+4) = +8

This means you have two sets of four positive tiles or you have earned two groups

of four dollars.

(+2) x (-4) = (+2) x (-4) = -8

This means you have two sets of four negative tiles or you have two bills that you owe,each bill

is for four dollars.

(-2) x (-4) = (-2) x (-4) = +8

This means you don’t have two sets of four negative tiles or you don’t owe two bills, each

bill is for four dollars.

Try These

(+3) x (-2) = (-2) x (-2) = (+5) x (-2) = (-3) x (+2) = (+3) x (+4) = (+3) x (-2) =

Try These (-91) x (-101) = (+152) x (-21) = (-19) x (+203) = (-69) x (-102) = (-62) x (-11) = (-128) x (+12) =

Try These (-91) x (-101) = (+152) x (-21) = (-19) x (+203) = (-69) x (-102) = (-62) x (-11) = (-128) x (+12) =

Multiplying IntegersFACTOR FACTOR PRODUCT

+ + +

_ _ +

_ + _

+ _ _

Dividing IntegersDIVIDEND DIVISOR QUOTIENT

+ + +

_ _ +

_ + _

+ _ _

Try These (-1) x (+1) x (-1) = (+1) x (+1) x (-1) = (-1) x (-1) x (+1) = (-1) x (-1) x (-1) = (-1) x (-1) x (+1) x (-1) x (+1) = (-1) x (+1) x (+1) x (-1) x (+1) =

Short Cuts For Multiplying Several Integer Factors

a. (-1) x (+1) x (-1) = +1

b. (+1) x (+1) x (-1) = -1

c. (-1) x (-1) x (+1) = +1

d. (-1) x (-1) x (-1) = -1

If there is an even number of

negative signs, the product is positive

If there is an odd number of

negative signs, the product is negative

Short Cuts For Multiplying Several Integer Factors

a. (-1) x (+1) x (-1) x (+1) =b. (+1) x (+1) x (-1) x(-1) =c. (-1) x (+1) x (-1) x (-1) x (+1) =d. (-1) x (-1) x (-1) x (-1) x (+1) x (-1) =e. (1) x (+1) x (-1) x (-1) x (+1) x (-1) =f. (-1) x (-1) x (-1) x (-1) x (-1) x (-1) =g. (-2) x (-3) x (-2) x (+1) =h. (-1) x (-3) x (-2) x (-2) x (-3) =

Try These (-2) x (+2) x (-1)(-3)= (+1) x (+4) x (-5) = (-17) x (-2) x (+2) = (-2) x (-3) x (-6) x 4 = (-2) x (-3) x (-3)

(+2) x (+4) = (+2) x (+4) = +2