40 times 82 is 3280, but what is the answer if both 40 and 82 are negative numbers? Here we will determine if the answer to negative 40 times negative 82 is positive 3280 or negative 3280.
There are many different ways to explain and determine if the answer to negative 40 times negative 82 is -3280 or +3280 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 -3280 is the correct answer using basic algebra.
We will test if -3280 is correct by setting up the equation negative 40 times negative 82 equals negative 3280, and then simplifying the equation to see if it is true.
(-40) (-82) = (-3280)
Divide both sides of the equation by (-82) :
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| = |
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The numerator and denominator on the left side both have (-82) which even each other out and can be removed:
| (-40) = |
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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:
| (-40) = |
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A numerator of 3280 and denominator of 82 on the right side is the same as 3280 divided by 82 which is 40. Now we end up with this untrue equation:
(-40) = (40)
-40 is NOT equal to 40, thus we have proven that negative 40 times negative 82 is not equal to -3280. The answer must therefore be 3280:
-40 x -82 = 3280
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 40 times negative 82 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 40 times negative 83?
Here is the next problem on our list that we have explained and calculated.
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