38 times 3 is 114, but what is the answer if both 38 and 3 are negative numbers? Here we will determine if the answer to negative 38 times negative 3 is positive 114 or negative 114.
There are many different ways to explain and determine if the answer to negative 38 times negative 3 is -114 or +114 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 -114 is the correct answer using basic algebra.
We will test if -114 is correct by setting up the equation negative 38 times negative 3 equals negative 114, and then simplifying the equation to see if it is true.
(-38) (-3) = (-114)
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:
| (-38) = |
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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:
| (-38) = |
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A numerator of 114 and denominator of 3 on the right side is the same as 114 divided by 3 which is 38. Now we end up with this untrue equation:
(-38) = (38)
-38 is NOT equal to 38, thus we have proven that negative 38 times negative 3 is not equal to -114. The answer must therefore be 114:
-38 x -3 = 114
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 38 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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