7 times 11 is 77, but what is the answer if both 7 and 11 are negative numbers? Here we will determine if the answer to negative 7 times negative 11 is positive 77 or negative 77.
There are many different ways to explain and determine if the answer to negative 7 times negative 11 is -77 or +77 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 -77 is the correct answer using basic algebra.
We will test if -77 is correct by setting up the equation negative 7 times negative 11 equals negative 77, and then simplifying the equation to see if it is true.
(-7) (-11) = (-77)
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:
| (-7) = |
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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:
| (-7) = |
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A numerator of 77 and denominator of 11 on the right side is the same as 77 divided by 11 which is 7. Now we end up with this untrue equation:
(-7) = (7)
-7 is NOT equal to 7, thus we have proven that negative 7 times negative 11 is not equal to -77. The answer must therefore be 77:
-7 x -11 = 77
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 7 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 7 times negative 12?
Here is the next problem on our list that we have explained and calculated.
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