78 times 73 is 5694, but what is the answer if both 78 and 73 are negative numbers? Here we will determine if the answer to negative 78 times negative 73 is positive 5694 or negative 5694.
There are many different ways to explain and determine if the answer to negative 78 times negative 73 is -5694 or +5694 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 -5694 is the correct answer using basic algebra.
We will test if -5694 is correct by setting up the equation negative 78 times negative 73 equals negative 5694, and then simplifying the equation to see if it is true.
(-78) (-73) = (-5694)
Divide both sides of the equation by (-73) :
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| = |
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The numerator and denominator on the left side both have (-73) 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 5694 and denominator of 73 on the right side is the same as 5694 divided by 73 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 73 is not equal to -5694. The answer must therefore be 5694:
-78 x -73 = 5694
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 78 times negative 73 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 74?
Here is the next problem on our list that we have explained and calculated.
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