70 times 82 is 5740, but what is the answer if both 70 and 82 are negative numbers? Here we will determine if the answer to negative 70 times negative 82 is positive 5740 or negative 5740.
There are many different ways to explain and determine if the answer to negative 70 times negative 82 is -5740 or +5740 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 -5740 is the correct answer using basic algebra.
We will test if -5740 is correct by setting up the equation negative 70 times negative 82 equals negative 5740, and then simplifying the equation to see if it is true.
(-70) (-82) = (-5740)
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:
| (-70) = |
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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:
| (-70) = |
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A numerator of 5740 and denominator of 82 on the right side is the same as 5740 divided by 82 which is 70. Now we end up with this untrue equation:
(-70) = (70)
-70 is NOT equal to 70, thus we have proven that negative 70 times negative 82 is not equal to -5740. The answer must therefore be 5740:
-70 x -82 = 5740
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 70 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 70 times negative 83?
Here is the next problem on our list that we have explained and calculated.
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