50 times 26 is 1300, but what is the answer if both 50 and 26 are negative numbers? Here we will determine if the answer to negative 50 times negative 26 is positive 1300 or negative 1300.
There are many different ways to explain and determine if the answer to negative 50 times negative 26 is -1300 or +1300 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 -1300 is the correct answer using basic algebra.
We will test if -1300 is correct by setting up the equation negative 50 times negative 26 equals negative 1300, and then simplifying the equation to see if it is true.
(-50) (-26) = (-1300)
Divide both sides of the equation by (-26) :
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| = |
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The numerator and denominator on the left side both have (-26) which even each other out and can be removed:
| (-50) = |
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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:
| (-50) = |
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A numerator of 1300 and denominator of 26 on the right side is the same as 1300 divided by 26 which is 50. Now we end up with this untrue equation:
(-50) = (50)
-50 is NOT equal to 50, thus we have proven that negative 50 times negative 26 is not equal to -1300. The answer must therefore be 1300:
-50 x -26 = 1300
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 50 times negative 26 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 50 times negative 27?
Here is the next problem on our list that we have explained and calculated.
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