What is negative 3 times negative 44?




3 times 44 is 132, but what is the answer if both 3 and 44 are negative numbers? Here we will determine if the answer to negative 3 times negative 44 is positive 132 or negative 132.

There are many different ways to explain and determine if the answer to negative 3 times negative 44 is -132 or +132 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 -132 is the correct answer using basic algebra.

We will test if -132 is correct by setting up the equation negative 3 times negative 44 equals negative 132, and then simplifying the equation to see if it is true.

(-3) (-44) = (-132)

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

   
(-3) (-44)
 
   
(-44)
 =
   
(-132)
 
   
(-44)

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

  (-3) =
   
(-132)
 
   
(-44)

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

  (-3) =
   
(132)
 
   
(44)

A numerator of 132 and denominator of 44 on the right side is the same as 132 divided by 44 which is 3. Now we end up with this untrue equation:

(-3) = (3)

-3 is NOT equal to 3, thus we have proven that negative 3 times negative 44 is not equal to -132. The answer must therefore be 132:

-3 x -44 = 132


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 3 times negative 44 will always have a positive answer.

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What is negative 3 times negative 45?
Here is the next problem on our list that we have explained and calculated.


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