43 times 96 is 4128, but what is the answer if both 43 and 96 are negative numbers? Here we will determine if the answer to negative 43 times negative 96 is positive 4128 or negative 4128.
There are many different ways to explain and determine if the answer to negative 43 times negative 96 is -4128 or +4128 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 -4128 is the correct answer using basic algebra.
We will test if -4128 is correct by setting up the equation negative 43 times negative 96 equals negative 4128, and then simplifying the equation to see if it is true.
(-43) (-96) = (-4128)
Divide both sides of the equation by (-96) :
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| = |
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The numerator and denominator on the left side both have (-96) which even each other out and can be removed:
| (-43) = |
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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:
| (-43) = |
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A numerator of 4128 and denominator of 96 on the right side is the same as 4128 divided by 96 which is 43. Now we end up with this untrue equation:
(-43) = (43)
-43 is NOT equal to 43, thus we have proven that negative 43 times negative 96 is not equal to -4128. The answer must therefore be 4128:
-43 x -96 = 4128
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 43 times negative 96 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 43 times negative 97?
Here is the next problem on our list that we have explained and calculated.
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