53 times 83 is 4399, but what is the answer if both 53 and 83 are negative numbers? Here we will determine if the answer to negative 53 times negative 83 is positive 4399 or negative 4399.
There are many different ways to explain and determine if the answer to negative 53 times negative 83 is -4399 or +4399 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 -4399 is the correct answer using basic algebra.
We will test if -4399 is correct by setting up the equation negative 53 times negative 83 equals negative 4399, and then simplifying the equation to see if it is true.
(-53) (-83) = (-4399)
Divide both sides of the equation by (-83) :
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| = |
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The numerator and denominator on the left side both have (-83) which even each other out and can be removed:
| (-53) = |
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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:
| (-53) = |
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A numerator of 4399 and denominator of 83 on the right side is the same as 4399 divided by 83 which is 53. Now we end up with this untrue equation:
(-53) = (53)
-53 is NOT equal to 53, thus we have proven that negative 53 times negative 83 is not equal to -4399. The answer must therefore be 4399:
-53 x -83 = 4399
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 53 times negative 83 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 53 times negative 84?
Here is the next problem on our list that we have explained and calculated.
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