35 times 82 is 2870, but what is the answer if both 35 and 82 are negative numbers? Here we will determine if the answer to negative 35 times negative 82 is positive 2870 or negative 2870.
There are many different ways to explain and determine if the answer to negative 35 times negative 82 is -2870 or +2870 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 -2870 is the correct answer using basic algebra.
We will test if -2870 is correct by setting up the equation negative 35 times negative 82 equals negative 2870, and then simplifying the equation to see if it is true.
(-35) (-82) = (-2870)
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:
| (-35) = |
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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:
| (-35) = |
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A numerator of 2870 and denominator of 82 on the right side is the same as 2870 divided by 82 which is 35. Now we end up with this untrue equation:
(-35) = (35)
-35 is NOT equal to 35, thus we have proven that negative 35 times negative 82 is not equal to -2870. The answer must therefore be 2870:
-35 x -82 = 2870
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 35 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 35 times negative 83?
Here is the next problem on our list that we have explained and calculated.
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