82 times 66 is 5412, but what is the answer if both 82 and 66 are negative numbers? Here we will determine if the answer to negative 82 times negative 66 is positive 5412 or negative 5412.
There are many different ways to explain and determine if the answer to negative 82 times negative 66 is -5412 or +5412 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 -5412 is the correct answer using basic algebra.
We will test if -5412 is correct by setting up the equation negative 82 times negative 66 equals negative 5412, and then simplifying the equation to see if it is true.
(-82) (-66) = (-5412)
Divide both sides of the equation by (-66) :
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| = |
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The numerator and denominator on the left side both have (-66) 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 5412 and denominator of 66 on the right side is the same as 5412 divided by 66 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 66 is not equal to -5412. The answer must therefore be 5412:
-82 x -66 = 5412
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 82 times negative 66 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 82 times negative 67?
Here is the next problem on our list that we have explained and calculated.
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