What is negative 44 times negative 8?




44 times 8 is 352, but what is the answer if both 44 and 8 are negative numbers? Here we will determine if the answer to negative 44 times negative 8 is positive 352 or negative 352.

There are many different ways to explain and determine if the answer to negative 44 times negative 8 is -352 or +352 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 -352 is the correct answer using basic algebra.

We will test if -352 is correct by setting up the equation negative 44 times negative 8 equals negative 352, and then simplifying the equation to see if it is true.

(-44) (-8) = (-352)

Divide both sides of the equation by (-8) :

   
(-44) (-8)
 
   
(-8)
 =
   
(-352)
 
   
(-8)

The numerator and denominator on the left side both have (-8) which even each other out and can be removed:

  (-44) =
   
(-352)
 
   
(-8)

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

  (-44) =
   
(352)
 
   
(8)

A numerator of 352 and denominator of 8 on the right side is the same as 352 divided by 8 which is 44. Now we end up with this untrue equation:

(-44) = (44)

-44 is NOT equal to 44, thus we have proven that negative 44 times negative 8 is not equal to -352. The answer must therefore be 352:

-44 x -8 = 352


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 44 times negative 8 will always have a positive answer.

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What is negative 44 times negative 9?
Here is the next problem on our list that we have explained and calculated.


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