What is negative 6 times negative 55?




6 times 55 is 330, but what is the answer if both 6 and 55 are negative numbers? Here we will determine if the answer to negative 6 times negative 55 is positive 330 or negative 330.

There are many different ways to explain and determine if the answer to negative 6 times negative 55 is -330 or +330 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 -330 is the correct answer using basic algebra.

We will test if -330 is correct by setting up the equation negative 6 times negative 55 equals negative 330, and then simplifying the equation to see if it is true.

(-6) (-55) = (-330)

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

   
(-6) (-55)
 
   
(-55)
 =
   
(-330)
 
   
(-55)

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

  (-6) =
   
(-330)
 
   
(-55)

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

  (-6) =
   
(330)
 
   
(55)

A numerator of 330 and denominator of 55 on the right side is the same as 330 divided by 55 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 55 is not equal to -330. The answer must therefore be 330:

-6 x -55 = 330


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 6 times negative 55 will always have a positive answer.

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What is negative 6 times negative 56?
Here is the next problem on our list that we have explained and calculated.


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