41 times 2 is 82, but what is the answer if both 41 and 2 are negative numbers? Here we will determine if the answer to negative 41 times negative 2 is positive 82 or negative 82.
There are many different ways to explain and determine if the answer to negative 41 times negative 2 is -82 or +82 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 -82 is the correct answer using basic algebra.
We will test if -82 is correct by setting up the equation negative 41 times negative 2 equals negative 82, and then simplifying the equation to see if it is true.
(-41) (-2) = (-82)
Divide both sides of the equation by (-2) :
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| = |
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The numerator and denominator on the left side both have (-2) which even each other out and can be removed:
| (-41) = |
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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:
| (-41) = |
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A numerator of 82 and denominator of 2 on the right side is the same as 82 divided by 2 which is 41. Now we end up with this untrue equation:
(-41) = (41)
-41 is NOT equal to 41, thus we have proven that negative 41 times negative 2 is not equal to -82. The answer must therefore be 82:
-41 x -2 = 82
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 41 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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