37 times 11 is 407, but what is the answer if both 37 and 11 are negative numbers? Here we will determine if the answer to negative 37 times negative 11 is positive 407 or negative 407.
There are many different ways to explain and determine if the answer to negative 37 times negative 11 is -407 or +407 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 -407 is the correct answer using basic algebra.
We will test if -407 is correct by setting up the equation negative 37 times negative 11 equals negative 407, and then simplifying the equation to see if it is true.
(-37) (-11) = (-407)
Divide both sides of the equation by (-11) :
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| = |
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The numerator and denominator on the left side both have (-11) which even each other out and can be removed:
| (-37) = |
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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:
| (-37) = |
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A numerator of 407 and denominator of 11 on the right side is the same as 407 divided by 11 which is 37. Now we end up with this untrue equation:
(-37) = (37)
-37 is NOT equal to 37, thus we have proven that negative 37 times negative 11 is not equal to -407. The answer must therefore be 407:
-37 x -11 = 407
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 37 times negative 11 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 37 times negative 12?
Here is the next problem on our list that we have explained and calculated.
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