What is negative 6 times negative 86?




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

There are many different ways to explain and determine if the answer to negative 6 times negative 86 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 6 times negative 86 equals negative 516, and then simplifying the equation to see if it is true.

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

Divide both sides of the equation by (-86) :

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

The numerator and denominator on the left side both have (-86) which even each other out and can be removed:

  (-6) =
   
(-516)
 
   
(-86)

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

  (-6) =
   
(516)
 
   
(86)

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

(-6) = (6)

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

-6 x -86 = 516


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 6 times negative 86 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 6 times negative 87?
Here is the next problem on our list that we have explained and calculated.


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