What is negative 94 times negative 59?




94 times 59 is 5546, but what is the answer if both 94 and 59 are negative numbers? Here we will determine if the answer to negative 94 times negative 59 is positive 5546 or negative 5546.

There are many different ways to explain and determine if the answer to negative 94 times negative 59 is -5546 or +5546 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 -5546 is the correct answer using basic algebra.

We will test if -5546 is correct by setting up the equation negative 94 times negative 59 equals negative 5546, and then simplifying the equation to see if it is true.

(-94) (-59) = (-5546)

Divide both sides of the equation by (-59) :

   
(-94) (-59)
 
   
(-59)
 =
   
(-5546)
 
   
(-59)

The numerator and denominator on the left side both have (-59) which even each other out and can be removed:

  (-94) =
   
(-5546)
 
   
(-59)

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

  (-94) =
   
(5546)
 
   
(59)

A numerator of 5546 and denominator of 59 on the right side is the same as 5546 divided by 59 which is 94. Now we end up with this untrue equation:

(-94) = (94)

-94 is NOT equal to 94, thus we have proven that negative 94 times negative 59 is not equal to -5546. The answer must therefore be 5546:

-94 x -59 = 5546


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 94 times negative 59 will always have a positive answer.

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What is negative 94 times negative 60?
Here is the next problem on our list that we have explained and calculated.


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