96 times 4 is 384, but what is the answer if both 96 and 4 are negative numbers? Here we will determine if the answer to negative 96 times negative 4 is positive 384 or negative 384.
There are many different ways to explain and determine if the answer to negative 96 times negative 4 is -384 or +384 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 -384 is the correct answer using basic algebra.
We will test if -384 is correct by setting up the equation negative 96 times negative 4 equals negative 384, and then simplifying the equation to see if it is true.
(-96) (-4) = (-384)
Divide both sides of the equation by (-4) :
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| = |
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The numerator and denominator on the left side both have (-4) which even each other out and can be removed:
| (-96) = |
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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:
| (-96) = |
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A numerator of 384 and denominator of 4 on the right side is the same as 384 divided by 4 which is 96. Now we end up with this untrue equation:
(-96) = (96)
-96 is NOT equal to 96, thus we have proven that negative 96 times negative 4 is not equal to -384. The answer must therefore be 384:
-96 x -4 = 384
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 96 times negative 4 will always have a positive answer.
Negative Times Negative Calculator
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