19 times 57 is 1083, but what is the answer if both 19 and 57 are negative numbers? Here we will determine if the answer to negative 19 times negative 57 is positive 1083 or negative 1083.
There are many different ways to explain and determine if the answer to negative 19 times negative 57 is -1083 or +1083 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 -1083 is the correct answer using basic algebra.
We will test if -1083 is correct by setting up the equation negative 19 times negative 57 equals negative 1083, and then simplifying the equation to see if it is true.
(-19) (-57) = (-1083)
Divide both sides of the equation by (-57) :
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| = |
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The numerator and denominator on the left side both have (-57) which even each other out and can be removed:
| (-19) = |
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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:
| (-19) = |
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A numerator of 1083 and denominator of 57 on the right side is the same as 1083 divided by 57 which is 19. Now we end up with this untrue equation:
(-19) = (19)
-19 is NOT equal to 19, thus we have proven that negative 19 times negative 57 is not equal to -1083. The answer must therefore be 1083:
-19 x -57 = 1083
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 19 times negative 57 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 19 times negative 58?
Here is the next problem on our list that we have explained and calculated.
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