6 times 75 is 450, but what is the answer if both 6 and 75 are negative numbers? Here we will determine if the answer to negative 6 times negative 75 is positive 450 or negative 450.
There are many different ways to explain and determine if the answer to negative 6 times negative 75 is -450 or +450 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 -450 is the correct answer using basic algebra.
We will test if -450 is correct by setting up the equation negative 6 times negative 75 equals negative 450, and then simplifying the equation to see if it is true.
(-6) (-75) = (-450)
Divide both sides of the equation by (-75) :
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| = |
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The numerator and denominator on the left side both have (-75) which even each other out and can be removed:
| (-6) = |
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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:
| (-6) = |
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A numerator of 450 and denominator of 75 on the right side is the same as 450 divided by 75 which is 6. Now we end up with this untrue equation:
(-6) = (6)
-6 is NOT equal to 6, thus we have proven that negative 6 times negative 75 is not equal to -450. The answer must therefore be 450:
-6 x -75 = 450
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 6 times negative 75 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 6 times negative 76?
Here is the next problem on our list that we have explained and calculated.
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