What is negative 2 times negative 62?




2 times 62 is 124, but what is the answer if both 2 and 62 are negative numbers? Here we will determine if the answer to negative 2 times negative 62 is positive 124 or negative 124.

There are many different ways to explain and determine if the answer to negative 2 times negative 62 is -124 or +124 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 -124 is the correct answer using basic algebra.

We will test if -124 is correct by setting up the equation negative 2 times negative 62 equals negative 124, and then simplifying the equation to see if it is true.

(-2) (-62) = (-124)

Divide both sides of the equation by (-62) :

   
(-2) (-62)
 
   
(-62)
 =
   
(-124)
 
   
(-62)

The numerator and denominator on the left side both have (-62) which even each other out and can be removed:

  (-2) =
   
(-124)
 
   
(-62)

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

  (-2) =
   
(124)
 
   
(62)

A numerator of 124 and denominator of 62 on the right side is the same as 124 divided by 62 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 62 is not equal to -124. The answer must therefore be 124:

-2 x -62 = 124


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 2 times negative 62 will always have a positive answer.

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What is negative 2 times negative 63?
Here is the next problem on our list that we have explained and calculated.


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