What is negative 92 times negative 8?




92 times 8 is 736, but what is the answer if both 92 and 8 are negative numbers? Here we will determine if the answer to negative 92 times negative 8 is positive 736 or negative 736.

There are many different ways to explain and determine if the answer to negative 92 times negative 8 is -736 or +736 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 -736 is the correct answer using basic algebra.

We will test if -736 is correct by setting up the equation negative 92 times negative 8 equals negative 736, and then simplifying the equation to see if it is true.

(-92) (-8) = (-736)

Divide both sides of the equation by (-8) :

   
(-92) (-8)
 
   
(-8)
 =
   
(-736)
 
   
(-8)

The numerator and denominator on the left side both have (-8) which even each other out and can be removed:

  (-92) =
   
(-736)
 
   
(-8)

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

  (-92) =
   
(736)
 
   
(8)

A numerator of 736 and denominator of 8 on the right side is the same as 736 divided by 8 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 8 is not equal to -736. The answer must therefore be 736:

-92 x -8 = 736


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 92 times negative 8 will always have a positive answer.

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What is negative 92 times negative 9?
Here is the next problem on our list that we have explained and calculated.


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