What is negative 2 times negative 47?




2 times 47 is 94, but what is the answer if both 2 and 47 are negative numbers? Here we will determine if the answer to negative 2 times negative 47 is positive 94 or negative 94.

There are many different ways to explain and determine if the answer to negative 2 times negative 47 is -94 or +94 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 -94 is the correct answer using basic algebra.

We will test if -94 is correct by setting up the equation negative 2 times negative 47 equals negative 94, and then simplifying the equation to see if it is true.

(-2) (-47) = (-94)

Divide both sides of the equation by (-47) :

   
(-2) (-47)
 
   
(-47)
 =
   
(-94)
 
   
(-47)

The numerator and denominator on the left side both have (-47) which even each other out and can be removed:

  (-2) =
   
(-94)
 
   
(-47)

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

  (-2) =
   
(94)
 
   
(47)

A numerator of 94 and denominator of 47 on the right side is the same as 94 divided by 47 which is 2. Now we end up with this untrue equation:

(-2) = (2)

-2 is NOT equal to 2, thus we have proven that negative 2 times negative 47 is not equal to -94. The answer must therefore be 94:

-2 x -47 = 94


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 2 times negative 47 will always have a positive answer.

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What is negative 2 times negative 48?
Here is the next problem on our list that we have explained and calculated.


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