57 times 58 is 3306, but what is the answer if both 57 and 58 are negative numbers? Here we will determine if the answer to negative 57 times negative 58 is positive 3306 or negative 3306.
There are many different ways to explain and determine if the answer to negative 57 times negative 58 is -3306 or +3306 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 -3306 is the correct answer using basic algebra.
We will test if -3306 is correct by setting up the equation negative 57 times negative 58 equals negative 3306, and then simplifying the equation to see if it is true.
(-57) (-58) = (-3306)
Divide both sides of the equation by (-58) :
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| = |
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The numerator and denominator on the left side both have (-58) 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 3306 and denominator of 58 on the right side is the same as 3306 divided by 58 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 58 is not equal to -3306. The answer must therefore be 3306:
-57 x -58 = 3306
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 57 times negative 58 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 59?
Here is the next problem on our list that we have explained and calculated.
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