82 times 17 is 1394, but what is the answer if both 82 and 17 are negative numbers? Here we will determine if the answer to negative 82 times negative 17 is positive 1394 or negative 1394.
There are many different ways to explain and determine if the answer to negative 82 times negative 17 is -1394 or +1394 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 -1394 is the correct answer using basic algebra.
We will test if -1394 is correct by setting up the equation negative 82 times negative 17 equals negative 1394, and then simplifying the equation to see if it is true.
(-82) (-17) = (-1394)
Divide both sides of the equation by (-17) :
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| = |
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The numerator and denominator on the left side both have (-17) which even each other out and can be removed:
| (-82) = |
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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:
| (-82) = |
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A numerator of 1394 and denominator of 17 on the right side is the same as 1394 divided by 17 which is 82. Now we end up with this untrue equation:
(-82) = (82)
-82 is NOT equal to 82, thus we have proven that negative 82 times negative 17 is not equal to -1394. The answer must therefore be 1394:
-82 x -17 = 1394
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 82 times negative 17 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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