71 times 71 is 5041, but what is the answer if both 71 and 71 are negative numbers? Here we will determine if the answer to negative 71 times negative 71 is positive 5041 or negative 5041.
There are many different ways to explain and determine if the answer to negative 71 times negative 71 is -5041 or +5041 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 -5041 is the correct answer using basic algebra.
We will test if -5041 is correct by setting up the equation negative 71 times negative 71 equals negative 5041, and then simplifying the equation to see if it is true.
(-71) (-71) = (-5041)
Divide both sides of the equation by (-71) :
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| = |
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The numerator and denominator on the left side both have (-71) 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 5041 and denominator of 71 on the right side is the same as 5041 divided by 71 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 71 is not equal to -5041. The answer must therefore be 5041:
-71 x -71 = 5041
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 71 times negative 71 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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