What is negative 4 times negative 94?




4 times 94 is 376, but what is the answer if both 4 and 94 are negative numbers? Here we will determine if the answer to negative 4 times negative 94 is positive 376 or negative 376.

There are many different ways to explain and determine if the answer to negative 4 times negative 94 is -376 or +376 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 -376 is the correct answer using basic algebra.

We will test if -376 is correct by setting up the equation negative 4 times negative 94 equals negative 376, and then simplifying the equation to see if it is true.

(-4) (-94) = (-376)

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

   
(-4) (-94)
 
   
(-94)
 =
   
(-376)
 
   
(-94)

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

  (-4) =
   
(-376)
 
   
(-94)

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

  (-4) =
   
(376)
 
   
(94)

A numerator of 376 and denominator of 94 on the right side is the same as 376 divided by 94 which is 4. Now we end up with this untrue equation:

(-4) = (4)

-4 is NOT equal to 4, thus we have proven that negative 4 times negative 94 is not equal to -376. The answer must therefore be 376:

-4 x -94 = 376


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 times negative 94 will always have a positive answer.

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What is negative 4 times negative 95?
Here is the next problem on our list that we have explained and calculated.


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