What is negative 6 times negative 50?




6 times 50 is 300, but what is the answer if both 6 and 50 are negative numbers? Here we will determine if the answer to negative 6 times negative 50 is positive 300 or negative 300.

There are many different ways to explain and determine if the answer to negative 6 times negative 50 is -300 or +300 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 -300 is the correct answer using basic algebra.

We will test if -300 is correct by setting up the equation negative 6 times negative 50 equals negative 300, and then simplifying the equation to see if it is true.

(-6) (-50) = (-300)

Divide both sides of the equation by (-50) :

   
(-6) (-50)
 
   
(-50)
 =
   
(-300)
 
   
(-50)

The numerator and denominator on the left side both have (-50) which even each other out and can be removed:

  (-6) =
   
(-300)
 
   
(-50)

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

  (-6) =
   
(300)
 
   
(50)

A numerator of 300 and denominator of 50 on the right side is the same as 300 divided by 50 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 50 is not equal to -300. The answer must therefore be 300:

-6 x -50 = 300


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 6 times negative 50 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 51?
Here is the next problem on our list that we have explained and calculated.


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