78 times 91 is 7098, but what is the answer if both 78 and 91 are negative numbers? Here we will determine if the answer to negative 78 times negative 91 is positive 7098 or negative 7098.
There are many different ways to explain and determine if the answer to negative 78 times negative 91 is -7098 or +7098 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 -7098 is the correct answer using basic algebra.
We will test if -7098 is correct by setting up the equation negative 78 times negative 91 equals negative 7098, and then simplifying the equation to see if it is true.
(-78) (-91) = (-7098)
Divide both sides of the equation by (-91) :
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| = |
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The numerator and denominator on the left side both have (-91) which even each other out and can be removed:
| (-78) = |
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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:
| (-78) = |
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A numerator of 7098 and denominator of 91 on the right side is the same as 7098 divided by 91 which is 78. Now we end up with this untrue equation:
(-78) = (78)
-78 is NOT equal to 78, thus we have proven that negative 78 times negative 91 is not equal to -7098. The answer must therefore be 7098:
-78 x -91 = 7098
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 78 times negative 91 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 78 times negative 92?
Here is the next problem on our list that we have explained and calculated.
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