31 times 49 is 1519, but what is the answer if both 31 and 49 are negative numbers? Here we will determine if the answer to negative 31 times negative 49 is positive 1519 or negative 1519.
There are many different ways to explain and determine if the answer to negative 31 times negative 49 is -1519 or +1519 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 -1519 is the correct answer using basic algebra.
We will test if -1519 is correct by setting up the equation negative 31 times negative 49 equals negative 1519, and then simplifying the equation to see if it is true.
(-31) (-49) = (-1519)
Divide both sides of the equation by (-49) :
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| = |
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The numerator and denominator on the left side both have (-49) which even each other out and can be removed:
| (-31) = |
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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:
| (-31) = |
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A numerator of 1519 and denominator of 49 on the right side is the same as 1519 divided by 49 which is 31. Now we end up with this untrue equation:
(-31) = (31)
-31 is NOT equal to 31, thus we have proven that negative 31 times negative 49 is not equal to -1519. The answer must therefore be 1519:
-31 x -49 = 1519
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 31 times negative 49 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 31 times negative 50?
Here is the next problem on our list that we have explained and calculated.
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