What is negative 66 times negative 92?




66 times 92 is 6072, but what is the answer if both 66 and 92 are negative numbers? Here we will determine if the answer to negative 66 times negative 92 is positive 6072 or negative 6072.

There are many different ways to explain and determine if the answer to negative 66 times negative 92 is -6072 or +6072 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 -6072 is the correct answer using basic algebra.

We will test if -6072 is correct by setting up the equation negative 66 times negative 92 equals negative 6072, and then simplifying the equation to see if it is true.

(-66) (-92) = (-6072)

Divide both sides of the equation by (-92) :

   
(-66) (-92)
 
   
(-92)
 =
   
(-6072)
 
   
(-92)

The numerator and denominator on the left side both have (-92) which even each other out and can be removed:

  (-66) =
   
(-6072)
 
   
(-92)

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

  (-66) =
   
(6072)
 
   
(92)

A numerator of 6072 and denominator of 92 on the right side is the same as 6072 divided by 92 which is 66. Now we end up with this untrue equation:

(-66) = (66)

-66 is NOT equal to 66, thus we have proven that negative 66 times negative 92 is not equal to -6072. The answer must therefore be 6072:

-66 x -92 = 6072


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 66 times negative 92 will always have a positive answer.

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What is negative 66 times negative 93?
Here is the next problem on our list that we have explained and calculated.


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