67 times 12 is 804, but what is the answer if both 67 and 12 are negative numbers? Here we will determine if the answer to negative 67 times negative 12 is positive 804 or negative 804.
There are many different ways to explain and determine if the answer to negative 67 times negative 12 is -804 or +804 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 -804 is the correct answer using basic algebra.
We will test if -804 is correct by setting up the equation negative 67 times negative 12 equals negative 804, and then simplifying the equation to see if it is true.
(-67) (-12) = (-804)
Divide both sides of the equation by (-12) :
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| = |
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The numerator and denominator on the left side both have (-12) which even each other out and can be removed:
| (-67) = |
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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:
| (-67) = |
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A numerator of 804 and denominator of 12 on the right side is the same as 804 divided by 12 which is 67. Now we end up with this untrue equation:
(-67) = (67)
-67 is NOT equal to 67, thus we have proven that negative 67 times negative 12 is not equal to -804. The answer must therefore be 804:
-67 x -12 = 804
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 67 times negative 12 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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