77 times 14 is 1078, but what is the answer if both 77 and 14 are negative numbers? Here we will determine if the answer to negative 77 times negative 14 is positive 1078 or negative 1078.
There are many different ways to explain and determine if the answer to negative 77 times negative 14 is -1078 or +1078 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 -1078 is the correct answer using basic algebra.
We will test if -1078 is correct by setting up the equation negative 77 times negative 14 equals negative 1078, and then simplifying the equation to see if it is true.
(-77) (-14) = (-1078)
Divide both sides of the equation by (-14) :
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| = |
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The numerator and denominator on the left side both have (-14) which even each other out and can be removed:
| (-77) = |
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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:
| (-77) = |
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A numerator of 1078 and denominator of 14 on the right side is the same as 1078 divided by 14 which is 77. Now we end up with this untrue equation:
(-77) = (77)
-77 is NOT equal to 77, thus we have proven that negative 77 times negative 14 is not equal to -1078. The answer must therefore be 1078:
-77 x -14 = 1078
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 77 times negative 14 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 77 times negative 15?
Here is the next problem on our list that we have explained and calculated.
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