What is negative 9 times negative 44?




9 times 44 is 396, but what is the answer if both 9 and 44 are negative numbers? Here we will determine if the answer to negative 9 times negative 44 is positive 396 or negative 396.

There are many different ways to explain and determine if the answer to negative 9 times negative 44 is -396 or +396 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 -396 is the correct answer using basic algebra.

We will test if -396 is correct by setting up the equation negative 9 times negative 44 equals negative 396, and then simplifying the equation to see if it is true.

(-9) (-44) = (-396)

Divide both sides of the equation by (-44) :

   
(-9) (-44)
 
   
(-44)
 =
   
(-396)
 
   
(-44)

The numerator and denominator on the left side both have (-44) which even each other out and can be removed:

  (-9) =
   
(-396)
 
   
(-44)

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

  (-9) =
   
(396)
 
   
(44)

A numerator of 396 and denominator of 44 on the right side is the same as 396 divided by 44 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 44 is not equal to -396. The answer must therefore be 396:

-9 x -44 = 396


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 44 will always have a positive answer.

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What is negative 9 times negative 45?
Here is the next problem on our list that we have explained and calculated.


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