What is negative 9 times negative 92?




9 times 92 is 828, but what is the answer if both 9 and 92 are negative numbers? Here we will determine if the answer to negative 9 times negative 92 is positive 828 or negative 828.

There are many different ways to explain and determine if the answer to negative 9 times negative 92 is -828 or +828 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 -828 is the correct answer using basic algebra.

We will test if -828 is correct by setting up the equation negative 9 times negative 92 equals negative 828, and then simplifying the equation to see if it is true.

(-9) (-92) = (-828)

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

   
(-9) (-92)
 
   
(-92)
 =
   
(-828)
 
   
(-92)

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

  (-9) =
   
(-828)
 
   
(-92)

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

  (-9) =
   
(828)
 
   
(92)

A numerator of 828 and denominator of 92 on the right side is the same as 828 divided by 92 which is 9. Now we end up with this untrue equation:

(-9) = (9)

-9 is NOT equal to 9, thus we have proven that negative 9 times negative 92 is not equal to -828. The answer must therefore be 828:

-9 x -92 = 828


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 92 will always have a positive answer.

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What is negative 9 times negative 93?
Here is the next problem on our list that we have explained and calculated.


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