What is negative 5 times negative 44?




5 times 44 is 220, but what is the answer if both 5 and 44 are negative numbers? Here we will determine if the answer to negative 5 times negative 44 is positive 220 or negative 220.

There are many different ways to explain and determine if the answer to negative 5 times negative 44 is -220 or +220 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 -220 is the correct answer using basic algebra.

We will test if -220 is correct by setting up the equation negative 5 times negative 44 equals negative 220, and then simplifying the equation to see if it is true.

(-5) (-44) = (-220)

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

   
(-5) (-44)
 
   
(-44)
 =
   
(-220)
 
   
(-44)

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

  (-5) =
   
(-220)
 
   
(-44)

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

  (-5) =
   
(220)
 
   
(44)

A numerator of 220 and denominator of 44 on the right side is the same as 220 divided by 44 which is 5. Now we end up with this untrue equation:

(-5) = (5)

-5 is NOT equal to 5, thus we have proven that negative 5 times negative 44 is not equal to -220. The answer must therefore be 220:

-5 x -44 = 220


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 5 times negative 44 will always have a positive answer.

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What is negative 5 times negative 45?
Here is the next problem on our list that we have explained and calculated.


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