49 times 43 is 2107, but what is the answer if both 49 and 43 are negative numbers? Here we will determine if the answer to negative 49 times negative 43 is positive 2107 or negative 2107.
There are many different ways to explain and determine if the answer to negative 49 times negative 43 is -2107 or +2107 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 -2107 is the correct answer using basic algebra.
We will test if -2107 is correct by setting up the equation negative 49 times negative 43 equals negative 2107, and then simplifying the equation to see if it is true.
(-49) (-43) = (-2107)
Divide both sides of the equation by (-43) :
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| = |
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The numerator and denominator on the left side both have (-43) which even each other out and can be removed:
| (-49) = |
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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:
| (-49) = |
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A numerator of 2107 and denominator of 43 on the right side is the same as 2107 divided by 43 which is 49. Now we end up with this untrue equation:
(-49) = (49)
-49 is NOT equal to 49, thus we have proven that negative 49 times negative 43 is not equal to -2107. The answer must therefore be 2107:
-49 x -43 = 2107
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 49 times negative 43 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 49 times negative 44?
Here is the next problem on our list that we have explained and calculated.
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