What is negative 2 times negative 67?




2 times 67 is 134, but what is the answer if both 2 and 67 are negative numbers? Here we will determine if the answer to negative 2 times negative 67 is positive 134 or negative 134.

There are many different ways to explain and determine if the answer to negative 2 times negative 67 is -134 or +134 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 -134 is the correct answer using basic algebra.

We will test if -134 is correct by setting up the equation negative 2 times negative 67 equals negative 134, and then simplifying the equation to see if it is true.

(-2) (-67) = (-134)

Divide both sides of the equation by (-67) :

   
(-2) (-67)
 
   
(-67)
 =
   
(-134)
 
   
(-67)

The numerator and denominator on the left side both have (-67) which even each other out and can be removed:

  (-2) =
   
(-134)
 
   
(-67)

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

  (-2) =
   
(134)
 
   
(67)

A numerator of 134 and denominator of 67 on the right side is the same as 134 divided by 67 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 67 is not equal to -134. The answer must therefore be 134:

-2 x -67 = 134


The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 2 times negative 67 will always have a positive answer.

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What is negative 2 times negative 68?
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