What is negative 8 times negative 44?




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

There are many different ways to explain and determine if the answer to negative 8 times negative 44 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 8 times negative 44 equals negative 352, and then simplifying the equation to see if it is true.

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

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

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

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

  (-8) =
   
(-352)
 
   
(-44)

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

  (-8) =
   
(352)
 
   
(44)

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

(-8) = (8)

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

-8 x -44 = 352


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

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What is negative 8 times negative 45?
Here is the next problem on our list that we have explained and calculated.


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