What is negative 3 times negative 62?




3 times 62 is 186, but what is the answer if both 3 and 62 are negative numbers? Here we will determine if the answer to negative 3 times negative 62 is positive 186 or negative 186.

There are many different ways to explain and determine if the answer to negative 3 times negative 62 is -186 or +186 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 -186 is the correct answer using basic algebra.

We will test if -186 is correct by setting up the equation negative 3 times negative 62 equals negative 186, and then simplifying the equation to see if it is true.

(-3) (-62) = (-186)

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

   
(-3) (-62)
 
   
(-62)
 =
   
(-186)
 
   
(-62)

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

  (-3) =
   
(-186)
 
   
(-62)

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

  (-3) =
   
(186)
 
   
(62)

A numerator of 186 and denominator of 62 on the right side is the same as 186 divided by 62 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 62 is not equal to -186. The answer must therefore be 186:

-3 x -62 = 186


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 3 times negative 62 will always have a positive answer.

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What is negative 3 times negative 63?
Here is the next problem on our list that we have explained and calculated.


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