What is negative 24 times negative 33?




24 times 33 is 792, but what is the answer if both 24 and 33 are negative numbers? Here we will determine if the answer to negative 24 times negative 33 is positive 792 or negative 792.

There are many different ways to explain and determine if the answer to negative 24 times negative 33 is -792 or +792 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 -792 is the correct answer using basic algebra.

We will test if -792 is correct by setting up the equation negative 24 times negative 33 equals negative 792, and then simplifying the equation to see if it is true.

(-24) (-33) = (-792)

Divide both sides of the equation by (-33) :

   
(-24) (-33)
 
   
(-33)
 =
   
(-792)
 
   
(-33)

The numerator and denominator on the left side both have (-33) which even each other out and can be removed:

  (-24) =
   
(-792)
 
   
(-33)

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

  (-24) =
   
(792)
 
   
(33)

A numerator of 792 and denominator of 33 on the right side is the same as 792 divided by 33 which is 24. Now we end up with this untrue equation:

(-24) = (24)

-24 is NOT equal to 24, thus we have proven that negative 24 times negative 33 is not equal to -792. The answer must therefore be 792:

-24 x -33 = 792


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 24 times negative 33 will always have a positive answer.

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What is negative 24 times negative 34?
Here is the next problem on our list that we have explained and calculated.


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