66 times 96 is 6336, but what is the answer if both 66 and 96 are negative numbers? Here we will determine if the answer to negative 66 times negative 96 is positive 6336 or negative 6336.
There are many different ways to explain and determine if the answer to negative 66 times negative 96 is -6336 or +6336 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 -6336 is the correct answer using basic algebra.
We will test if -6336 is correct by setting up the equation negative 66 times negative 96 equals negative 6336, and then simplifying the equation to see if it is true.
(-66) (-96) = (-6336)
Divide both sides of the equation by (-96) :
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| = |
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The numerator and denominator on the left side both have (-96) which even each other out and can be removed:
| (-66) = |
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The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:
| (-66) = |
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A numerator of 6336 and denominator of 96 on the right side is the same as 6336 divided by 96 which is 66. Now we end up with this untrue equation:
(-66) = (66)
-66 is NOT equal to 66, thus we have proven that negative 66 times negative 96 is not equal to -6336. The answer must therefore be 6336:
-66 x -96 = 6336
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 66 times negative 96 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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