What is negative 6 times negative 17?




6 times 17 is 102, but what is the answer if both 6 and 17 are negative numbers? Here we will determine if the answer to negative 6 times negative 17 is positive 102 or negative 102.

There are many different ways to explain and determine if the answer to negative 6 times negative 17 is -102 or +102 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 -102 is the correct answer using basic algebra.

We will test if -102 is correct by setting up the equation negative 6 times negative 17 equals negative 102, and then simplifying the equation to see if it is true.

(-6) (-17) = (-102)

Divide both sides of the equation by (-17) :

   
(-6) (-17)
 
   
(-17)
 =
   
(-102)
 
   
(-17)

The numerator and denominator on the left side both have (-17) which even each other out and can be removed:

  (-6) =
   
(-102)
 
   
(-17)

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

  (-6) =
   
(102)
 
   
(17)

A numerator of 102 and denominator of 17 on the right side is the same as 102 divided by 17 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 17 is not equal to -102. The answer must therefore be 102:

-6 x -17 = 102


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 6 times negative 17 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 18?
Here is the next problem on our list that we have explained and calculated.


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