What is negative 70 times negative 94?




70 times 94 is 6580, but what is the answer if both 70 and 94 are negative numbers? Here we will determine if the answer to negative 70 times negative 94 is positive 6580 or negative 6580.

There are many different ways to explain and determine if the answer to negative 70 times negative 94 is -6580 or +6580 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 -6580 is the correct answer using basic algebra.

We will test if -6580 is correct by setting up the equation negative 70 times negative 94 equals negative 6580, and then simplifying the equation to see if it is true.

(-70) (-94) = (-6580)

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

   
(-70) (-94)
 
   
(-94)
 =
   
(-6580)
 
   
(-94)

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

  (-70) =
   
(-6580)
 
   
(-94)

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

  (-70) =
   
(6580)
 
   
(94)

A numerator of 6580 and denominator of 94 on the right side is the same as 6580 divided by 94 which is 70. Now we end up with this untrue equation:

(-70) = (70)

-70 is NOT equal to 70, thus we have proven that negative 70 times negative 94 is not equal to -6580. The answer must therefore be 6580:

-70 x -94 = 6580


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 70 times negative 94 will always have a positive answer.

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What is negative 70 times negative 95?
Here is the next problem on our list that we have explained and calculated.


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