17 times 45 is 765, but what is the answer if both 17 and 45 are negative numbers? Here we will determine if the answer to negative 17 times negative 45 is positive 765 or negative 765.
There are many different ways to explain and determine if the answer to negative 17 times negative 45 is -765 or +765 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 -765 is the correct answer using basic algebra.
We will test if -765 is correct by setting up the equation negative 17 times negative 45 equals negative 765, and then simplifying the equation to see if it is true.
(-17) (-45) = (-765)
Divide both sides of the equation by (-45) :
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| = |
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The numerator and denominator on the left side both have (-45) which even each other out and can be removed:
| (-17) = |
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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:
| (-17) = |
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A numerator of 765 and denominator of 45 on the right side is the same as 765 divided by 45 which is 17. Now we end up with this untrue equation:
(-17) = (17)
-17 is NOT equal to 17, thus we have proven that negative 17 times negative 45 is not equal to -765. The answer must therefore be 765:
-17 x -45 = 765
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 17 times negative 45 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 17 times negative 46?
Here is the next problem on our list that we have explained and calculated.
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