What is negative 85 times negative 92?




85 times 92 is 7820, but what is the answer if both 85 and 92 are negative numbers? Here we will determine if the answer to negative 85 times negative 92 is positive 7820 or negative 7820.

There are many different ways to explain and determine if the answer to negative 85 times negative 92 is -7820 or +7820 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 -7820 is the correct answer using basic algebra.

We will test if -7820 is correct by setting up the equation negative 85 times negative 92 equals negative 7820, and then simplifying the equation to see if it is true.

(-85) (-92) = (-7820)

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

   
(-85) (-92)
 
   
(-92)
 =
   
(-7820)
 
   
(-92)

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

  (-85) =
   
(-7820)
 
   
(-92)

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

  (-85) =
   
(7820)
 
   
(92)

A numerator of 7820 and denominator of 92 on the right side is the same as 7820 divided by 92 which is 85. Now we end up with this untrue equation:

(-85) = (85)

-85 is NOT equal to 85, thus we have proven that negative 85 times negative 92 is not equal to -7820. The answer must therefore be 7820:

-85 x -92 = 7820


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 85 times negative 92 will always have a positive answer.

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What is negative 85 times negative 93?
Here is the next problem on our list that we have explained and calculated.


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