39 times 65 is 2535, but what is the answer if both 39 and 65 are negative numbers? Here we will determine if the answer to negative 39 times negative 65 is positive 2535 or negative 2535.
There are many different ways to explain and determine if the answer to negative 39 times negative 65 is -2535 or +2535 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 -2535 is the correct answer using basic algebra.
We will test if -2535 is correct by setting up the equation negative 39 times negative 65 equals negative 2535, and then simplifying the equation to see if it is true.
(-39) (-65) = (-2535)
Divide both sides of the equation by (-65) :
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| = |
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The numerator and denominator on the left side both have (-65) which even each other out and can be removed:
| (-39) = |
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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:
| (-39) = |
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A numerator of 2535 and denominator of 65 on the right side is the same as 2535 divided by 65 which is 39. Now we end up with this untrue equation:
(-39) = (39)
-39 is NOT equal to 39, thus we have proven that negative 39 times negative 65 is not equal to -2535. The answer must therefore be 2535:
-39 x -65 = 2535
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 39 times negative 65 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 39 times negative 66?
Here is the next problem on our list that we have explained and calculated.
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