71 times 90 is 6390, but what is the answer if both 71 and 90 are negative numbers? Here we will determine if the answer to negative 71 times negative 90 is positive 6390 or negative 6390.
There are many different ways to explain and determine if the answer to negative 71 times negative 90 is -6390 or +6390 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 -6390 is the correct answer using basic algebra.
We will test if -6390 is correct by setting up the equation negative 71 times negative 90 equals negative 6390, and then simplifying the equation to see if it is true.
(-71) (-90) = (-6390)
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:
| (-71) = |
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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:
| (-71) = |
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A numerator of 6390 and denominator of 90 on the right side is the same as 6390 divided by 90 which is 71. Now we end up with this untrue equation:
(-71) = (71)
-71 is NOT equal to 71, thus we have proven that negative 71 times negative 90 is not equal to -6390. The answer must therefore be 6390:
-71 x -90 = 6390
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 71 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 71 times negative 91?
Here is the next problem on our list that we have explained and calculated.
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