41 times 53 is 2173, but what is the answer if both 41 and 53 are negative numbers? Here we will determine if the answer to negative 41 times negative 53 is positive 2173 or negative 2173.
There are many different ways to explain and determine if the answer to negative 41 times negative 53 is -2173 or +2173 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 -2173 is the correct answer using basic algebra.
We will test if -2173 is correct by setting up the equation negative 41 times negative 53 equals negative 2173, and then simplifying the equation to see if it is true.
(-41) (-53) = (-2173)
Divide both sides of the equation by (-53) :
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| = |
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The numerator and denominator on the left side both have (-53) 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 2173 and denominator of 53 on the right side is the same as 2173 divided by 53 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 53 is not equal to -2173. The answer must therefore be 2173:
-41 x -53 = 2173
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 41 times negative 53 will always have a positive answer.
Negative Times Negative Calculator
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What is negative 41 times negative 54?
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