75 times 76 is 5700, but what is the answer if both 75 and 76 are negative numbers? Here we will determine if the answer to negative 75 times negative 76 is positive 5700 or negative 5700.
There are many different ways to explain and determine if the answer to negative 75 times negative 76 is -5700 or +5700 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 -5700 is the correct answer using basic algebra.
We will test if -5700 is correct by setting up the equation negative 75 times negative 76 equals negative 5700, and then simplifying the equation to see if it is true.
(-75) (-76) = (-5700)
Divide both sides of the equation by (-76) :
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| = |
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The numerator and denominator on the left side both have (-76) which even each other out and can be removed:
| (-75) = |
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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:
| (-75) = |
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A numerator of 5700 and denominator of 76 on the right side is the same as 5700 divided by 76 which is 75. Now we end up with this untrue equation:
(-75) = (75)
-75 is NOT equal to 75, thus we have proven that negative 75 times negative 76 is not equal to -5700. The answer must therefore be 5700:
-75 x -76 = 5700
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 75 times negative 76 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 75 times negative 77?
Here is the next problem on our list that we have explained and calculated.
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