What is negative 4 times negative 92?




4 times 92 is 368, but what is the answer if both 4 and 92 are negative numbers? Here we will determine if the answer to negative 4 times negative 92 is positive 368 or negative 368.

There are many different ways to explain and determine if the answer to negative 4 times negative 92 is -368 or +368 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 -368 is the correct answer using basic algebra.

We will test if -368 is correct by setting up the equation negative 4 times negative 92 equals negative 368, and then simplifying the equation to see if it is true.

(-4) (-92) = (-368)

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

   
(-4) (-92)
 
   
(-92)
 =
   
(-368)
 
   
(-92)

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

  (-4) =
   
(-368)
 
   
(-92)

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

  (-4) =
   
(368)
 
   
(92)

A numerator of 368 and denominator of 92 on the right side is the same as 368 divided by 92 which is 4. Now we end up with this untrue equation:

(-4) = (4)

-4 is NOT equal to 4, thus we have proven that negative 4 times negative 92 is not equal to -368. The answer must therefore be 368:

-4 x -92 = 368


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 92 will always have a positive answer.

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What is negative 4 times negative 93?
Here is the next problem on our list that we have explained and calculated.


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