91 times 92 is 8372, but what is the answer if both 91 and 92 are negative numbers? Here we will determine if the answer to negative 91 times negative 92 is positive 8372 or negative 8372.
There are many different ways to explain and determine if the answer to negative 91 times negative 92 is -8372 or +8372 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 -8372 is the correct answer using basic algebra.
We will test if -8372 is correct by setting up the equation negative 91 times negative 92 equals negative 8372, and then simplifying the equation to see if it is true.
(-91) (-92) = (-8372)
Divide both sides of the equation by (-92) :
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| = |
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The numerator and denominator on the left side both have (-92) which even each other out and can be removed:
| (-91) = |
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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:
| (-91) = |
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A numerator of 8372 and denominator of 92 on the right side is the same as 8372 divided by 92 which is 91. Now we end up with this untrue equation:
(-91) = (91)
-91 is NOT equal to 91, thus we have proven that negative 91 times negative 92 is not equal to -8372. The answer must therefore be 8372:
-91 x -92 = 8372
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 91 times negative 92 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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