3 times 38 is 114, but what is the answer if both 3 and 38 are negative numbers? Here we will determine if the answer to negative 3 times negative 38 is positive 114 or negative 114.
There are many different ways to explain and determine if the answer to negative 3 times negative 38 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 3 times negative 38 equals negative 114, and then simplifying the equation to see if it is true.
(-3) (-38) = (-114)
Divide both sides of the equation by (-38) :
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| = |
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The numerator and denominator on the left side both have (-38) which even each other out and can be removed:
| (-3) = |
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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:
| (-3) = |
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A numerator of 114 and denominator of 38 on the right side is the same as 114 divided by 38 which is 3. Now we end up with this untrue equation:
(-3) = (3)
-3 is NOT equal to 3, thus we have proven that negative 3 times negative 38 is not equal to -114. The answer must therefore be 114:
-3 x -38 = 114
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 3 times negative 38 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 3 times negative 39?
Here is the next problem on our list that we have explained and calculated.
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