96 times 90 is 8640, but what is the answer if both 96 and 90 are negative numbers? Here we will determine if the answer to negative 96 times negative 90 is positive 8640 or negative 8640.
There are many different ways to explain and determine if the answer to negative 96 times negative 90 is -8640 or +8640 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 -8640 is the correct answer using basic algebra.
We will test if -8640 is correct by setting up the equation negative 96 times negative 90 equals negative 8640, and then simplifying the equation to see if it is true.
(-96) (-90) = (-8640)
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:
| (-96) = |
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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:
| (-96) = |
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A numerator of 8640 and denominator of 90 on the right side is the same as 8640 divided by 90 which is 96. Now we end up with this untrue equation:
(-96) = (96)
-96 is NOT equal to 96, thus we have proven that negative 96 times negative 90 is not equal to -8640. The answer must therefore be 8640:
-96 x -90 = 8640
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 96 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 96 times negative 91?
Here is the next problem on our list that we have explained and calculated.
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