34 times 89 is 3026, but what is the answer if both 34 and 89 are negative numbers? Here we will determine if the answer to negative 34 times negative 89 is positive 3026 or negative 3026.
There are many different ways to explain and determine if the answer to negative 34 times negative 89 is -3026 or +3026 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 -3026 is the correct answer using basic algebra.
We will test if -3026 is correct by setting up the equation negative 34 times negative 89 equals negative 3026, and then simplifying the equation to see if it is true.
(-34) (-89) = (-3026)
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:
| (-34) = |
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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:
| (-34) = |
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A numerator of 3026 and denominator of 89 on the right side is the same as 3026 divided by 89 which is 34. Now we end up with this untrue equation:
(-34) = (34)
-34 is NOT equal to 34, thus we have proven that negative 34 times negative 89 is not equal to -3026. The answer must therefore be 3026:
-34 x -89 = 3026
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 34 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 34 times negative 90?
Here is the next problem on our list that we have explained and calculated.
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