4 times 82 is 328, but what is the answer if both 4 and 82 are negative numbers? Here we will determine if the answer to negative 4 times negative 82 is positive 328 or negative 328.
There are many different ways to explain and determine if the answer to negative 4 times negative 82 is -328 or +328 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 -328 is the correct answer using basic algebra.
We will test if -328 is correct by setting up the equation negative 4 times negative 82 equals negative 328, and then simplifying the equation to see if it is true.
(-4) (-82) = (-328)
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:
| (-4) = |
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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:
| (-4) = |
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A numerator of 328 and denominator of 82 on the right side is the same as 328 divided by 82 which is 4. Now we end up with this untrue equation:
(-4) = (4)
-4 is NOT equal to 4, thus we have proven that negative 4 times negative 82 is not equal to -328. The answer must therefore be 328:
-4 x -82 = 328
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 4 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 4 times negative 83?
Here is the next problem on our list that we have explained and calculated.
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