2 times 3 is 6, but what is the answer if both 2 and 3 are negative numbers? Here we will determine if the answer to negative 2 times negative 3 is positive 6 or negative 6.
There are many different ways to explain and determine if the answer to negative 2 times negative 3 is 6 or +6 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 6 is the correct answer using basic algebra.
We will test if 6 is correct by setting up the equation negative 2 times negative 3 equals negative 6, and then simplifying the equation to see if it is true.
(2) (3) = (6)
Divide both sides of the equation by (3) :
 = 

The numerator and denominator on the left side both have (3) which even each other out and can be removed:
(2) = 

The numerator and denominator on the right side both have a minus sign () which even each other out and can be removed:
(2) = 

A numerator of 6 and denominator of 3 on the right side is the same as 6 divided by 3 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 3 is not equal to 6. The answer must therefore be 6:
2 x 3 = 6
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 2 times negative 3 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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Here is the next problem on our list that we have explained and calculated.
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