What is negative 4 times negative 44?




4 times 44 is 176, but what is the answer if both 4 and 44 are negative numbers? Here we will determine if the answer to negative 4 times negative 44 is positive 176 or negative 176.

There are many different ways to explain and determine if the answer to negative 4 times negative 44 is -176 or +176 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 -176 is the correct answer using basic algebra.

We will test if -176 is correct by setting up the equation negative 4 times negative 44 equals negative 176, and then simplifying the equation to see if it is true.

(-4) (-44) = (-176)

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

   
(-4) (-44)
 
   
(-44)
 =
   
(-176)
 
   
(-44)

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

  (-4) =
   
(-176)
 
   
(-44)

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

  (-4) =
   
(176)
 
   
(44)

A numerator of 176 and denominator of 44 on the right side is the same as 176 divided by 44 which is 4. Now we end up with this untrue equation:

(-4) = (4)

-4 is NOT equal to 4, thus we have proven that negative 4 times negative 44 is not equal to -176. The answer must therefore be 176:

-4 x -44 = 176


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 44 will always have a positive answer.

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What is negative 4 times negative 45?
Here is the next problem on our list that we have explained and calculated.


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