## FANDOM

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The rule of how to multiply negatives is simple:

 To multiply a negative number by any number, take the (positive) opposite of the negative number and multiply it by the other number, and take the opposite of that

#### Negative by positive number

For a case where a negative number is multiplied by a positive, the rule above can be restated as: take the positive number, and the negative WITHOUT the minus sign, multiply them and add the inus sign to the product.

Example: multiply 5 and -3.  Take 5 and -3 without the "-" sign: 5 and 3  Multiply them: 5*3 = 15.  Add the minus sign: -15.  Conclusion: Product of a negative and a positive is always a negative number

#### Negative by negative number

When you have to multiply two negative numbers, such as (-5) * (-3), the rule above should be applied twice:  (-5)*(-3) is the opposite of 5*(-3), which is the opposite of the opposite of 5*3.  5*3 is 15  Opposite of 15 s -15.  Opposite of opposite of 15 is opposite of -15, and opposite of -15 is 15 again.  Conclusion: Product of a negative multiplied by negative is always POSITIVE

Here's a handy table: sign of result when we multiply

 Multiply: Positive Negative Positive + - Negative - +

Examples:  2*3=6 2*(-3) = -6 (-2)*3 = -6 (-2)*(-3) = 6