67 times 3 is 201, but what is the answer if both 67 and 3 are negative numbers? Here we will determine if the answer to negative 67 times negative 3 is positive 201 or negative 201.
There are many different ways to explain and determine if the answer to negative 67 times negative 3 is -201 or +201 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 -201 is the correct answer using basic algebra.
We will test if -201 is correct by setting up the equation negative 67 times negative 3 equals negative 201, and then simplifying the equation to see if it is true.
(-67) (-3) = (-201)
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:
| (-67) = |
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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:
| (-67) = |
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A numerator of 201 and denominator of 3 on the right side is the same as 201 divided by 3 which is 67. Now we end up with this untrue equation:
(-67) = (67)
-67 is NOT equal to 67, thus we have proven that negative 67 times negative 3 is not equal to -201. The answer must therefore be 201:
-67 x -3 = 201
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 67 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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