63 times 71 is 4473, but what is the answer if both 63 and 71 are negative numbers? Here we will determine if the answer to negative 63 times negative 71 is positive 4473 or negative 4473.
There are many different ways to explain and determine if the answer to negative 63 times negative 71 is -4473 or +4473 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 -4473 is the correct answer using basic algebra.
We will test if -4473 is correct by setting up the equation negative 63 times negative 71 equals negative 4473, and then simplifying the equation to see if it is true.
(-63) (-71) = (-4473)
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:
| (-63) = |
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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:
| (-63) = |
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A numerator of 4473 and denominator of 71 on the right side is the same as 4473 divided by 71 which is 63. Now we end up with this untrue equation:
(-63) = (63)
-63 is NOT equal to 63, thus we have proven that negative 63 times negative 71 is not equal to -4473. The answer must therefore be 4473:
-63 x -71 = 4473
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 63 times negative 71 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 63 times negative 72?
Here is the next problem on our list that we have explained and calculated.
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