9 times 30 is 270, but what is the answer if both 9 and 30 are negative numbers? Here we will determine if the answer to negative 9 times negative 30 is positive 270 or negative 270.
There are many different ways to explain and determine if the answer to negative 9 times negative 30 is -270 or +270 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 -270 is the correct answer using basic algebra.
We will test if -270 is correct by setting up the equation negative 9 times negative 30 equals negative 270, and then simplifying the equation to see if it is true.
(-9) (-30) = (-270)
Divide both sides of the equation by (-30) :
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| = |
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The numerator and denominator on the left side both have (-30) which even each other out and can be removed:
| (-9) = |
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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:
| (-9) = |
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A numerator of 270 and denominator of 30 on the right side is the same as 270 divided by 30 which is 9. Now we end up with this untrue equation:
(-9) = (9)
-9 is NOT equal to 9, thus we have proven that negative 9 times negative 30 is not equal to -270. The answer must therefore be 270:
-9 x -30 = 270
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 30 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 9 times negative 31?
Here is the next problem on our list that we have explained and calculated.
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