What is negative 6 times negative 80?




6 times 80 is 480, but what is the answer if both 6 and 80 are negative numbers? Here we will determine if the answer to negative 6 times negative 80 is positive 480 or negative 480.

There are many different ways to explain and determine if the answer to negative 6 times negative 80 is -480 or +480 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 -480 is the correct answer using basic algebra.

We will test if -480 is correct by setting up the equation negative 6 times negative 80 equals negative 480, and then simplifying the equation to see if it is true.

(-6) (-80) = (-480)

Divide both sides of the equation by (-80) :

   
(-6) (-80)
 
   
(-80)
 =
   
(-480)
 
   
(-80)

The numerator and denominator on the left side both have (-80) which even each other out and can be removed:

  (-6) =
   
(-480)
 
   
(-80)

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

  (-6) =
   
(480)
 
   
(80)

A numerator of 480 and denominator of 80 on the right side is the same as 480 divided by 80 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 80 is not equal to -480. The answer must therefore be 480:

-6 x -80 = 480


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 6 times negative 80 will always have a positive answer.

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What is negative 6 times negative 81?
Here is the next problem on our list that we have explained and calculated.


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