What is negative 92 times negative 47?




92 times 47 is 4324, but what is the answer if both 92 and 47 are negative numbers? Here we will determine if the answer to negative 92 times negative 47 is positive 4324 or negative 4324.

There are many different ways to explain and determine if the answer to negative 92 times negative 47 is -4324 or +4324 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 -4324 is the correct answer using basic algebra.

We will test if -4324 is correct by setting up the equation negative 92 times negative 47 equals negative 4324, and then simplifying the equation to see if it is true.

(-92) (-47) = (-4324)

Divide both sides of the equation by (-47) :

   
(-92) (-47)
 
   
(-47)
 =
   
(-4324)
 
   
(-47)

The numerator and denominator on the left side both have (-47) which even each other out and can be removed:

  (-92) =
   
(-4324)
 
   
(-47)

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

  (-92) =
   
(4324)
 
   
(47)

A numerator of 4324 and denominator of 47 on the right side is the same as 4324 divided by 47 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 47 is not equal to -4324. The answer must therefore be 4324:

-92 x -47 = 4324


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 92 times negative 47 will always have a positive answer.

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What is negative 92 times negative 48?
Here is the next problem on our list that we have explained and calculated.


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