Multiplying and Dividing Integers
Multiplying
When the two factors
(numbers that you multiply)
have the SAME sign,
then the product
(answer to a multiplication question)
is POSITIVE.
Dividing
When the dividend
(1st or top number)
and the divisor
nd
(2 or bottom number)
have the SAME sign,
the quotient
(answer to a division question)
is POSITIVE
When the two factors
have the DIFFERENT signs,
then the product
is NEGATIVE.
When the dividend
and the divisor
have the DIFFERENT signs,
the quotient
is NEGATIVE
An easier chart
Signs are the same
= Positive
Examples:
Signs are different
= Negative
Examples:
Positive X Positive
= Positive
+4 x +6 = +24
Negative X Negative
= Positive
-4 x –6 =+24
(+) x (+) = +
() x () = +
Negative X Positive
= Negative
-4 x +6 = -24
Positive X Negative
= Negative
+4 x –6 = -24
() x (+) = 
For Multiplication
Symbols that mean multiply
3 x –5
3 • -5
3 * -5
3y, y=-5
(3) (-5)
3(-5)
3(-2+-3)
[All these = -15]
[The last 3 are
Distributive Property,
see pg. ]
(+) x () = 
For Division
-The divisor can not = 0 (zero)
For Multiplying and Dividing
more than 2 numbers… if there
is an EVEN number of negative
signs, then the answer is
POSITIVE. If there are an
ODD number of negative
signs, then the answer is
NEGATIVE.
-7 * -3 * -4 * +8 ÷ -2 = positive
-3 * -2 * +5 * -3 ÷ +9 = negative