68 times 3 is 204, but what is the answer if both 68 and 3 are negative numbers? Here we will determine if the answer to negative 68 times negative 3 is positive 204 or negative 204.
There are many different ways to explain and determine if the answer to negative 68 times negative 3 is -204 or +204 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 -204 is the correct answer using basic algebra.
We will test if -204 is correct by setting up the equation negative 68 times negative 3 equals negative 204, and then simplifying the equation to see if it is true.
(-68) (-3) = (-204)
Divide both sides of the equation by (-3) :
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| = |
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The numerator and denominator on the left side both have (-3) which even each other out and can be removed:
| (-68) = |
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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:
| (-68) = |
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A numerator of 204 and denominator of 3 on the right side is the same as 204 divided by 3 which is 68. Now we end up with this untrue equation:
(-68) = (68)
-68 is NOT equal to 68, thus we have proven that negative 68 times negative 3 is not equal to -204. The answer must therefore be 204:
-68 x -3 = 204
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 68 times negative 3 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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