78 times 54 is 4212, but what is the answer if both 78 and 54 are negative numbers? Here we will determine if the answer to negative 78 times negative 54 is positive 4212 or negative 4212.
There are many different ways to explain and determine if the answer to negative 78 times negative 54 is -4212 or +4212 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 -4212 is the correct answer using basic algebra.
We will test if -4212 is correct by setting up the equation negative 78 times negative 54 equals negative 4212, and then simplifying the equation to see if it is true.
(-78) (-54) = (-4212)
Divide both sides of the equation by (-54) :
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| = |
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The numerator and denominator on the left side both have (-54) which even each other out and can be removed:
| (-78) = |
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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:
| (-78) = |
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A numerator of 4212 and denominator of 54 on the right side is the same as 4212 divided by 54 which is 78. Now we end up with this untrue equation:
(-78) = (78)
-78 is NOT equal to 78, thus we have proven that negative 78 times negative 54 is not equal to -4212. The answer must therefore be 4212:
-78 x -54 = 4212
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 78 times negative 54 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 78 times negative 55?
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