What is negative 6 times negative 98?




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

There are many different ways to explain and determine if the answer to negative 6 times negative 98 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 6 times negative 98 equals negative 588, and then simplifying the equation to see if it is true.

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

Divide both sides of the equation by (-98) :

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

The numerator and denominator on the left side both have (-98) which even each other out and can be removed:

  (-6) =
   
(-588)
 
   
(-98)

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

  (-6) =
   
(588)
 
   
(98)

A numerator of 588 and denominator of 98 on the right side is the same as 588 divided by 98 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 98 is not equal to -588. The answer must therefore be 588:

-6 x -98 = 588


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 6 times negative 98 will always have a positive answer.

Negative Times Negative Calculator
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What is negative 6 times negative 99?
Here is the next problem on our list that we have explained and calculated.


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