9 times 91 is 819, but what is the answer if both 9 and 91 are negative numbers? Here we will determine if the answer to negative 9 times negative 91 is positive 819 or negative 819.
There are many different ways to explain and determine if the answer to negative 9 times negative 91 is -819 or +819 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 -819 is the correct answer using basic algebra.
We will test if -819 is correct by setting up the equation negative 9 times negative 91 equals negative 819, and then simplifying the equation to see if it is true.
(-9) (-91) = (-819)
Divide both sides of the equation by (-91) :
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| = |
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The numerator and denominator on the left side both have (-91) which even each other out and can be removed:
| (-9) = |
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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:
| (-9) = |
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A numerator of 819 and denominator of 91 on the right side is the same as 819 divided by 91 which is 9. Now we end up with this untrue equation:
(-9) = (9)
-9 is NOT equal to 9, thus we have proven that negative 9 times negative 91 is not equal to -819. The answer must therefore be 819:
-9 x -91 = 819
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 91 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 9 times negative 92?
Here is the next problem on our list that we have explained and calculated.
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