91 times 58 is 5278, but what is the answer if both 91 and 58 are negative numbers? Here we will determine if the answer to negative 91 times negative 58 is positive 5278 or negative 5278.
There are many different ways to explain and determine if the answer to negative 91 times negative 58 is -5278 or +5278 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 -5278 is the correct answer using basic algebra.
We will test if -5278 is correct by setting up the equation negative 91 times negative 58 equals negative 5278, and then simplifying the equation to see if it is true.
(-91) (-58) = (-5278)
Divide both sides of the equation by (-58) :
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| = |
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The numerator and denominator on the left side both have (-58) 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 5278 and denominator of 58 on the right side is the same as 5278 divided by 58 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 58 is not equal to -5278. The answer must therefore be 5278:
-91 x -58 = 5278
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 91 times negative 58 will always have a positive answer.
Negative Times Negative Calculator
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What is negative 91 times negative 59?
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