What is negative 92 times negative 65?




92 times 65 is 5980, but what is the answer if both 92 and 65 are negative numbers? Here we will determine if the answer to negative 92 times negative 65 is positive 5980 or negative 5980.

There are many different ways to explain and determine if the answer to negative 92 times negative 65 is -5980 or +5980 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 -5980 is the correct answer using basic algebra.

We will test if -5980 is correct by setting up the equation negative 92 times negative 65 equals negative 5980, and then simplifying the equation to see if it is true.

(-92) (-65) = (-5980)

Divide both sides of the equation by (-65) :

   
(-92) (-65)
 
   
(-65)
 =
   
(-5980)
 
   
(-65)

The numerator and denominator on the left side both have (-65) which even each other out and can be removed:

  (-92) =
   
(-5980)
 
   
(-65)

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

  (-92) =
   
(5980)
 
   
(65)

A numerator of 5980 and denominator of 65 on the right side is the same as 5980 divided by 65 which is 92. Now we end up with this untrue equation:

(-92) = (92)

-92 is NOT equal to 92, thus we have proven that negative 92 times negative 65 is not equal to -5980. The answer must therefore be 5980:

-92 x -65 = 5980


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 92 times negative 65 will always have a positive answer.

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What is negative 92 times negative 66?
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