52 times 9 is 468, but what is the answer if both 52 and 9 are negative numbers? Here we will determine if the answer to negative 52 times negative 9 is positive 468 or negative 468.
There are many different ways to explain and determine if the answer to negative 52 times negative 9 is -468 or +468 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 -468 is the correct answer using basic algebra.
We will test if -468 is correct by setting up the equation negative 52 times negative 9 equals negative 468, and then simplifying the equation to see if it is true.
(-52) (-9) = (-468)
Divide both sides of the equation by (-9) :
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| = |
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The numerator and denominator on the left side both have (-9) which even each other out and can be removed:
| (-52) = |
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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:
| (-52) = |
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A numerator of 468 and denominator of 9 on the right side is the same as 468 divided by 9 which is 52. Now we end up with this untrue equation:
(-52) = (52)
-52 is NOT equal to 52, thus we have proven that negative 52 times negative 9 is not equal to -468. The answer must therefore be 468:
-52 x -9 = 468
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 52 times negative 9 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 52 times negative 10?
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