27 times 95 is 2565, but what is the answer if both 27 and 95 are negative numbers? Here we will determine if the answer to negative 27 times negative 95 is positive 2565 or negative 2565.
There are many different ways to explain and determine if the answer to negative 27 times negative 95 is -2565 or +2565 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 -2565 is the correct answer using basic algebra.
We will test if -2565 is correct by setting up the equation negative 27 times negative 95 equals negative 2565, and then simplifying the equation to see if it is true.
(-27) (-95) = (-2565)
Divide both sides of the equation by (-95) :
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| = |
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The numerator and denominator on the left side both have (-95) which even each other out and can be removed:
| (-27) = |
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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:
| (-27) = |
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A numerator of 2565 and denominator of 95 on the right side is the same as 2565 divided by 95 which is 27. Now we end up with this untrue equation:
(-27) = (27)
-27 is NOT equal to 27, thus we have proven that negative 27 times negative 95 is not equal to -2565. The answer must therefore be 2565:
-27 x -95 = 2565
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 27 times negative 95 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 27 times negative 96?
Here is the next problem on our list that we have explained and calculated.
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