60 times 89 is 5340, but what is the answer if both 60 and 89 are negative numbers? Here we will determine if the answer to negative 60 times negative 89 is positive 5340 or negative 5340.
There are many different ways to explain and determine if the answer to negative 60 times negative 89 is -5340 or +5340 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 -5340 is the correct answer using basic algebra.
We will test if -5340 is correct by setting up the equation negative 60 times negative 89 equals negative 5340, and then simplifying the equation to see if it is true.
(-60) (-89) = (-5340)
Divide both sides of the equation by (-89) :
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| = |
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The numerator and denominator on the left side both have (-89) which even each other out and can be removed:
| (-60) = |
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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:
| (-60) = |
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A numerator of 5340 and denominator of 89 on the right side is the same as 5340 divided by 89 which is 60. Now we end up with this untrue equation:
(-60) = (60)
-60 is NOT equal to 60, thus we have proven that negative 60 times negative 89 is not equal to -5340. The answer must therefore be 5340:
-60 x -89 = 5340
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 60 times negative 89 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 60 times negative 90?
Here is the next problem on our list that we have explained and calculated.
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