90 times 57 is 5130, but what is the answer if both 90 and 57 are negative numbers? Here we will determine if the answer to negative 90 times negative 57 is positive 5130 or negative 5130.
There are many different ways to explain and determine if the answer to negative 90 times negative 57 is -5130 or +5130 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 -5130 is the correct answer using basic algebra.
We will test if -5130 is correct by setting up the equation negative 90 times negative 57 equals negative 5130, and then simplifying the equation to see if it is true.
(-90) (-57) = (-5130)
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:
| (-90) = |
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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:
| (-90) = |
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A numerator of 5130 and denominator of 57 on the right side is the same as 5130 divided by 57 which is 90. Now we end up with this untrue equation:
(-90) = (90)
-90 is NOT equal to 90, thus we have proven that negative 90 times negative 57 is not equal to -5130. The answer must therefore be 5130:
-90 x -57 = 5130
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 90 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 90 times negative 58?
Here is the next problem on our list that we have explained and calculated.
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