What is negative 33 times negative 2?




33 times 2 is 66, but what is the answer if both 33 and 2 are negative numbers? Here we will determine if the answer to negative 33 times negative 2 is positive 66 or negative 66.

There are many different ways to explain and determine if the answer to negative 33 times negative 2 is -66 or +66 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 -66 is the correct answer using basic algebra.

We will test if -66 is correct by setting up the equation negative 33 times negative 2 equals negative 66, and then simplifying the equation to see if it is true.

(-33) (-2) = (-66)

Divide both sides of the equation by (-2) :

   
(-33) (-2)
 
   
(-2)
 =
   
(-66)
 
   
(-2)

The numerator and denominator on the left side both have (-2) which even each other out and can be removed:

  (-33) =
   
(-66)
 
   
(-2)

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

  (-33) =
   
(66)
 
   
(2)

A numerator of 66 and denominator of 2 on the right side is the same as 66 divided by 2 which is 33. Now we end up with this untrue equation:

(-33) = (33)

-33 is NOT equal to 33, thus we have proven that negative 33 times negative 2 is not equal to -66. The answer must therefore be 66:

-33 x -2 = 66


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 33 times negative 2 will always have a positive answer.

Negative Times Negative Calculator
Here you can multiply another two negative numbers together.

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What is negative 33 times negative 3?
Here is the next problem on our list that we have explained and calculated.


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