What is negative 86 times negative 6?




86 times 6 is 516, but what is the answer if both 86 and 6 are negative numbers? Here we will determine if the answer to negative 86 times negative 6 is positive 516 or negative 516.

There are many different ways to explain and determine if the answer to negative 86 times negative 6 is -516 or +516 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 -516 is the correct answer using basic algebra.

We will test if -516 is correct by setting up the equation negative 86 times negative 6 equals negative 516, and then simplifying the equation to see if it is true.

(-86) (-6) = (-516)

Divide both sides of the equation by (-6) :

   
(-86) (-6)
 
   
(-6)
 =
   
(-516)
 
   
(-6)

The numerator and denominator on the left side both have (-6) which even each other out and can be removed:

  (-86) =
   
(-516)
 
   
(-6)

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

  (-86) =
   
(516)
 
   
(6)

A numerator of 516 and denominator of 6 on the right side is the same as 516 divided by 6 which is 86. Now we end up with this untrue equation:

(-86) = (86)

-86 is NOT equal to 86, thus we have proven that negative 86 times negative 6 is not equal to -516. The answer must therefore be 516:

-86 x -6 = 516


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 86 times negative 6 will always have a positive answer.

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

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