What is negative 62 times negative 87?




62 times 87 is 5394, but what is the answer if both 62 and 87 are negative numbers? Here we will determine if the answer to negative 62 times negative 87 is positive 5394 or negative 5394.

There are many different ways to explain and determine if the answer to negative 62 times negative 87 is -5394 or +5394 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 -5394 is the correct answer using basic algebra.

We will test if -5394 is correct by setting up the equation negative 62 times negative 87 equals negative 5394, and then simplifying the equation to see if it is true.

(-62) (-87) = (-5394)

Divide both sides of the equation by (-87) :

   
(-62) (-87)
 
   
(-87)
 =
   
(-5394)
 
   
(-87)

The numerator and denominator on the left side both have (-87) which even each other out and can be removed:

  (-62) =
   
(-5394)
 
   
(-87)

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

  (-62) =
   
(5394)
 
   
(87)

A numerator of 5394 and denominator of 87 on the right side is the same as 5394 divided by 87 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 87 is not equal to -5394. The answer must therefore be 5394:

-62 x -87 = 5394


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 62 times negative 87 will always have a positive answer.

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What is negative 62 times negative 88?
Here is the next problem on our list that we have explained and calculated.


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