What is negative 6 times negative 94?




6 times 94 is 564, but what is the answer if both 6 and 94 are negative numbers? Here we will determine if the answer to negative 6 times negative 94 is positive 564 or negative 564.

There are many different ways to explain and determine if the answer to negative 6 times negative 94 is -564 or +564 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 -564 is the correct answer using basic algebra.

We will test if -564 is correct by setting up the equation negative 6 times negative 94 equals negative 564, and then simplifying the equation to see if it is true.

(-6) (-94) = (-564)

Divide both sides of the equation by (-94) :

   
(-6) (-94)
 
   
(-94)
 =
   
(-564)
 
   
(-94)

The numerator and denominator on the left side both have (-94) which even each other out and can be removed:

  (-6) =
   
(-564)
 
   
(-94)

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

  (-6) =
   
(564)
 
   
(94)

A numerator of 564 and denominator of 94 on the right side is the same as 564 divided by 94 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 94 is not equal to -564. The answer must therefore be 564:

-6 x -94 = 564


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 6 times negative 94 will always have a positive answer.

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What is negative 6 times negative 95?
Here is the next problem on our list that we have explained and calculated.


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