What is negative 3 times negative 91?




3 times 91 is 273, but what is the answer if both 3 and 91 are negative numbers? Here we will determine if the answer to negative 3 times negative 91 is positive 273 or negative 273.

There are many different ways to explain and determine if the answer to negative 3 times negative 91 is -273 or +273 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 -273 is the correct answer using basic algebra.

We will test if -273 is correct by setting up the equation negative 3 times negative 91 equals negative 273, and then simplifying the equation to see if it is true.

(-3) (-91) = (-273)

Divide both sides of the equation by (-91) :

   
(-3) (-91)
 
   
(-91)
 =
   
(-273)
 
   
(-91)

The numerator and denominator on the left side both have (-91) which even each other out and can be removed:

  (-3) =
   
(-273)
 
   
(-91)

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

  (-3) =
   
(273)
 
   
(91)

A numerator of 273 and denominator of 91 on the right side is the same as 273 divided by 91 which is 3. Now we end up with this untrue equation:

(-3) = (3)

-3 is NOT equal to 3, thus we have proven that negative 3 times negative 91 is not equal to -273. The answer must therefore be 273:

-3 x -91 = 273


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 3 times negative 91 will always have a positive answer.

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What is negative 3 times negative 92?
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