What is negative 86 times negative 55?




86 times 55 is 4730, but what is the answer if both 86 and 55 are negative numbers? Here we will determine if the answer to negative 86 times negative 55 is positive 4730 or negative 4730.

There are many different ways to explain and determine if the answer to negative 86 times negative 55 is -4730 or +4730 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 -4730 is the correct answer using basic algebra.

We will test if -4730 is correct by setting up the equation negative 86 times negative 55 equals negative 4730, and then simplifying the equation to see if it is true.

(-86) (-55) = (-4730)

Divide both sides of the equation by (-55) :

   
(-86) (-55)
 
   
(-55)
 =
   
(-4730)
 
   
(-55)

The numerator and denominator on the left side both have (-55) which even each other out and can be removed:

  (-86) =
   
(-4730)
 
   
(-55)

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

  (-86) =
   
(4730)
 
   
(55)

A numerator of 4730 and denominator of 55 on the right side is the same as 4730 divided by 55 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 55 is not equal to -4730. The answer must therefore be 4730:

-86 x -55 = 4730


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 86 times negative 55 will always have a positive answer.

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What is negative 86 times negative 56?
Here is the next problem on our list that we have explained and calculated.


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