9 times 23 is 207, but what is the answer if both 9 and 23 are negative numbers? Here we will determine if the answer to negative 9 times negative 23 is positive 207 or negative 207.
There are many different ways to explain and determine if the answer to negative 9 times negative 23 is -207 or +207 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 -207 is the correct answer using basic algebra.
We will test if -207 is correct by setting up the equation negative 9 times negative 23 equals negative 207, and then simplifying the equation to see if it is true.
(-9) (-23) = (-207)
Divide both sides of the equation by (-23) :
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| = |
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The numerator and denominator on the left side both have (-23) 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 207 and denominator of 23 on the right side is the same as 207 divided by 23 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 23 is not equal to -207. The answer must therefore be 207:
-9 x -23 = 207
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 23 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 24?
Here is the next problem on our list that we have explained and calculated.
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