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