50 times 4 is 200, but what is the answer if both 50 and 4 are negative numbers? Here we will determine if the answer to negative 50 times negative 4 is positive 200 or negative 200.
There are many different ways to explain and determine if the answer to negative 50 times negative 4 is -200 or +200 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 -200 is the correct answer using basic algebra.
We will test if -200 is correct by setting up the equation negative 50 times negative 4 equals negative 200, and then simplifying the equation to see if it is true.
(-50) (-4) = (-200)
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:
| (-50) = |
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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:
| (-50) = |
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A numerator of 200 and denominator of 4 on the right side is the same as 200 divided by 4 which is 50. Now we end up with this untrue equation:
(-50) = (50)
-50 is NOT equal to 50, thus we have proven that negative 50 times negative 4 is not equal to -200. The answer must therefore be 200:
-50 x -4 = 200
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 50 times negative 4 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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