What is negative 98 times negative 6?




98 times 6 is 588, but what is the answer if both 98 and 6 are negative numbers? Here we will determine if the answer to negative 98 times negative 6 is positive 588 or negative 588.

There are many different ways to explain and determine if the answer to negative 98 times negative 6 is -588 or +588 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 -588 is the correct answer using basic algebra.

We will test if -588 is correct by setting up the equation negative 98 times negative 6 equals negative 588, and then simplifying the equation to see if it is true.

(-98) (-6) = (-588)

Divide both sides of the equation by (-6) :

   
(-98) (-6)
 
   
(-6)
 =
   
(-588)
 
   
(-6)

The numerator and denominator on the left side both have (-6) which even each other out and can be removed:

  (-98) =
   
(-588)
 
   
(-6)

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

  (-98) =
   
(588)
 
   
(6)

A numerator of 588 and denominator of 6 on the right side is the same as 588 divided by 6 which is 98. Now we end up with this untrue equation:

(-98) = (98)

-98 is NOT equal to 98, thus we have proven that negative 98 times negative 6 is not equal to -588. The answer must therefore be 588:

-98 x -6 = 588


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 98 times negative 6 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 98 times negative 7?
Here is the next problem on our list that we have explained and calculated.


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