63 times 61 is 3843, but what is the answer if both 63 and 61 are negative numbers? Here we will determine if the answer to negative 63 times negative 61 is positive 3843 or negative 3843.
There are many different ways to explain and determine if the answer to negative 63 times negative 61 is -3843 or +3843 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 -3843 is the correct answer using basic algebra.
We will test if -3843 is correct by setting up the equation negative 63 times negative 61 equals negative 3843, and then simplifying the equation to see if it is true.
(-63) (-61) = (-3843)
Divide both sides of the equation by (-61) :
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| = |
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The numerator and denominator on the left side both have (-61) 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 3843 and denominator of 61 on the right side is the same as 3843 divided by 61 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 61 is not equal to -3843. The answer must therefore be 3843:
-63 x -61 = 3843
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 63 times negative 61 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 62?
Here is the next problem on our list that we have explained and calculated.
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