86 times 75 is 6450, but what is the answer if both 86 and 75 are negative numbers? Here we will determine if the answer to negative 86 times negative 75 is positive 6450 or negative 6450.
There are many different ways to explain and determine if the answer to negative 86 times negative 75 is -6450 or +6450 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 -6450 is the correct answer using basic algebra.
We will test if -6450 is correct by setting up the equation negative 86 times negative 75 equals negative 6450, and then simplifying the equation to see if it is true.
(-86) (-75) = (-6450)
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:
| (-86) = |
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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:
| (-86) = |
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A numerator of 6450 and denominator of 75 on the right side is the same as 6450 divided by 75 which is 86. Now we end up with this untrue equation:
(-86) = (86)
-86 is NOT equal to 86, thus we have proven that negative 86 times negative 75 is not equal to -6450. The answer must therefore be 6450:
-86 x -75 = 6450
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 86 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 86 times negative 76?
Here is the next problem on our list that we have explained and calculated.
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