97 times 85 is 8245, but what is the answer if both 97 and 85 are negative numbers? Here we will determine if the answer to negative 97 times negative 85 is positive 8245 or negative 8245.
There are many different ways to explain and determine if the answer to negative 97 times negative 85 is -8245 or +8245 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 -8245 is the correct answer using basic algebra.
We will test if -8245 is correct by setting up the equation negative 97 times negative 85 equals negative 8245, and then simplifying the equation to see if it is true.
(-97) (-85) = (-8245)
Divide both sides of the equation by (-85) :
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| = |
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The numerator and denominator on the left side both have (-85) which even each other out and can be removed:
| (-97) = |
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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:
| (-97) = |
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A numerator of 8245 and denominator of 85 on the right side is the same as 8245 divided by 85 which is 97. Now we end up with this untrue equation:
(-97) = (97)
-97 is NOT equal to 97, thus we have proven that negative 97 times negative 85 is not equal to -8245. The answer must therefore be 8245:
-97 x -85 = 8245
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 97 times negative 85 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 97 times negative 86?
Here is the next problem on our list that we have explained and calculated.
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