63 times 80 is 5040, but what is the answer if both 63 and 80 are negative numbers? Here we will determine if the answer to negative 63 times negative 80 is positive 5040 or negative 5040.
There are many different ways to explain and determine if the answer to negative 63 times negative 80 is -5040 or +5040 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 -5040 is the correct answer using basic algebra.
We will test if -5040 is correct by setting up the equation negative 63 times negative 80 equals negative 5040, and then simplifying the equation to see if it is true.
(-63) (-80) = (-5040)
Divide both sides of the equation by (-80) :
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| = |
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The numerator and denominator on the left side both have (-80) 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 5040 and denominator of 80 on the right side is the same as 5040 divided by 80 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 80 is not equal to -5040. The answer must therefore be 5040:
-63 x -80 = 5040
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 63 times negative 80 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 81?
Here is the next problem on our list that we have explained and calculated.
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