What is negative 62 times negative 2?




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

There are many different ways to explain and determine if the answer to negative 62 times negative 2 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 62 times negative 2 equals negative 124, and then simplifying the equation to see if it is true.

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

Divide both sides of the equation by (-2) :

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

The numerator and denominator on the left side both have (-2) which even each other out and can be removed:

  (-62) =
   
(-124)
 
   
(-2)

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

  (-62) =
   
(124)
 
   
(2)

A numerator of 124 and denominator of 2 on the right side is the same as 124 divided by 2 which is 62. Now we end up with this untrue equation:

(-62) = (62)

-62 is NOT equal to 62, thus we have proven that negative 62 times negative 2 is not equal to -124. The answer must therefore be 124:

-62 x -2 = 124


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

Negative Times Negative Calculator
Here you can multiply another two negative numbers together.

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What is negative 62 times negative 3?
Here is the next problem on our list that we have explained and calculated.


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