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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