63 times 51 is 3213, but what is the answer if both 63 and 51 are negative numbers? Here we will determine if the answer to negative 63 times negative 51 is positive 3213 or negative 3213.
There are many different ways to explain and determine if the answer to negative 63 times negative 51 is -3213 or +3213 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 -3213 is the correct answer using basic algebra.
We will test if -3213 is correct by setting up the equation negative 63 times negative 51 equals negative 3213, and then simplifying the equation to see if it is true.
(-63) (-51) = (-3213)
Divide both sides of the equation by (-51) :
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| = |
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The numerator and denominator on the left side both have (-51) 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 3213 and denominator of 51 on the right side is the same as 3213 divided by 51 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 51 is not equal to -3213. The answer must therefore be 3213:
-63 x -51 = 3213
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 63 times negative 51 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 52?
Here is the next problem on our list that we have explained and calculated.
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