57 times 51 is 2907, but what is the answer if both 57 and 51 are negative numbers? Here we will determine if the answer to negative 57 times negative 51 is positive 2907 or negative 2907.
There are many different ways to explain and determine if the answer to negative 57 times negative 51 is -2907 or +2907 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 -2907 is the correct answer using basic algebra.
We will test if -2907 is correct by setting up the equation negative 57 times negative 51 equals negative 2907, and then simplifying the equation to see if it is true.
(-57) (-51) = (-2907)
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:
| (-57) = |
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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:
| (-57) = |
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A numerator of 2907 and denominator of 51 on the right side is the same as 2907 divided by 51 which is 57. Now we end up with this untrue equation:
(-57) = (57)
-57 is NOT equal to 57, thus we have proven that negative 57 times negative 51 is not equal to -2907. The answer must therefore be 2907:
-57 x -51 = 2907
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 57 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 57 times negative 52?
Here is the next problem on our list that we have explained and calculated.
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