What is negative 91 times negative 13?




91 times 13 is 1183, but what is the answer if both 91 and 13 are negative numbers? Here we will determine if the answer to negative 91 times negative 13 is positive 1183 or negative 1183.

There are many different ways to explain and determine if the answer to negative 91 times negative 13 is -1183 or +1183 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 -1183 is the correct answer using basic algebra.

We will test if -1183 is correct by setting up the equation negative 91 times negative 13 equals negative 1183, and then simplifying the equation to see if it is true.

(-91) (-13) = (-1183)

Divide both sides of the equation by (-13) :

   
(-91) (-13)
 
   
(-13)
 =
   
(-1183)
 
   
(-13)

The numerator and denominator on the left side both have (-13) which even each other out and can be removed:

  (-91) =
   
(-1183)
 
   
(-13)

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

  (-91) =
   
(1183)
 
   
(13)

A numerator of 1183 and denominator of 13 on the right side is the same as 1183 divided by 13 which is 91. Now we end up with this untrue equation:

(-91) = (91)

-91 is NOT equal to 91, thus we have proven that negative 91 times negative 13 is not equal to -1183. The answer must therefore be 1183:

-91 x -13 = 1183


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 91 times negative 13 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 91 times negative 14?
Here is the next problem on our list that we have explained and calculated.


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