What is negative 2 times negative 55?




2 times 55 is 110, but what is the answer if both 2 and 55 are negative numbers? Here we will determine if the answer to negative 2 times negative 55 is positive 110 or negative 110.

There are many different ways to explain and determine if the answer to negative 2 times negative 55 is -110 or +110 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 -110 is the correct answer using basic algebra.

We will test if -110 is correct by setting up the equation negative 2 times negative 55 equals negative 110, and then simplifying the equation to see if it is true.

(-2) (-55) = (-110)

Divide both sides of the equation by (-55) :

   
(-2) (-55)
 
   
(-55)
 =
   
(-110)
 
   
(-55)

The numerator and denominator on the left side both have (-55) which even each other out and can be removed:

  (-2) =
   
(-110)
 
   
(-55)

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

  (-2) =
   
(110)
 
   
(55)

A numerator of 110 and denominator of 55 on the right side is the same as 110 divided by 55 which is 2. Now we end up with this untrue equation:

(-2) = (2)

-2 is NOT equal to 2, thus we have proven that negative 2 times negative 55 is not equal to -110. The answer must therefore be 110:

-2 x -55 = 110


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 2 times negative 55 will always have a positive answer.

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What is negative 2 times negative 56?
Here is the next problem on our list that we have explained and calculated.


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