What is negative 93 times negative 17?




93 times 17 is 1581, but what is the answer if both 93 and 17 are negative numbers? Here we will determine if the answer to negative 93 times negative 17 is positive 1581 or negative 1581.

There are many different ways to explain and determine if the answer to negative 93 times negative 17 is -1581 or +1581 using mathematical terms such as additive inverse and mathematical laws like the Distribute Law.

We will take a different approach - process of elimination: We will simply test if -1581 is the correct answer using basic algebra.

We will test if -1581 is correct by setting up the equation negative 93 times negative 17 equals negative 1581, and then simplifying the equation to see if it is true.

(-93) (-17) = (-1581)

Divide both sides of the equation by (-17) :

   
(-93) (-17)
 
   
(-17)
 =
   
(-1581)
 
   
(-17)

The numerator and denominator on the left side both have (-17) which even each other out and can be removed:

  (-93) =
   
(-1581)
 
   
(-17)

The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:

  (-93) =
   
(1581)
 
   
(17)

A numerator of 1581 and denominator of 17 on the right side is the same as 1581 divided by 17 which is 93. Now we end up with this untrue equation:

(-93) = (93)

-93 is NOT equal to 93, thus we have proven that negative 93 times negative 17 is not equal to -1581. The answer must therefore be 1581:

-93 x -17 = 1581


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 93 times negative 17 will always have a positive answer.

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Here you can multiply another two negative numbers together.

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What is negative 93 times negative 18?
Here is the next problem on our list that we have explained and calculated.


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