84 times 36 is 3024, but what is the answer if both 84 and 36 are negative numbers? Here we will determine if the answer to negative 84 times negative 36 is positive 3024 or negative 3024.
There are many different ways to explain and determine if the answer to negative 84 times negative 36 is -3024 or +3024 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 -3024 is the correct answer using basic algebra.
We will test if -3024 is correct by setting up the equation negative 84 times negative 36 equals negative 3024, and then simplifying the equation to see if it is true.
(-84) (-36) = (-3024)
Divide both sides of the equation by (-36) :
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| = |
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The numerator and denominator on the left side both have (-36) which even each other out and can be removed:
| (-84) = |
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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:
| (-84) = |
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A numerator of 3024 and denominator of 36 on the right side is the same as 3024 divided by 36 which is 84. Now we end up with this untrue equation:
(-84) = (84)
-84 is NOT equal to 84, thus we have proven that negative 84 times negative 36 is not equal to -3024. The answer must therefore be 3024:
-84 x -36 = 3024
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 84 times negative 36 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 84 times negative 37?
Here is the next problem on our list that we have explained and calculated.
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