9 times 90 is 810, but what is the answer if both 9 and 90 are negative numbers? Here we will determine if the answer to negative 9 times negative 90 is positive 810 or negative 810.
There are many different ways to explain and determine if the answer to negative 9 times negative 90 is -810 or +810 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 -810 is the correct answer using basic algebra.
We will test if -810 is correct by setting up the equation negative 9 times negative 90 equals negative 810, and then simplifying the equation to see if it is true.
(-9) (-90) = (-810)
Divide both sides of the equation by (-90) :
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| = |
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The numerator and denominator on the left side both have (-90) 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 810 and denominator of 90 on the right side is the same as 810 divided by 90 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 90 is not equal to -810. The answer must therefore be 810:
-9 x -90 = 810
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 90 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 91?
Here is the next problem on our list that we have explained and calculated.
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