25 times 65 is 1625, but what is the answer if both 25 and 65 are negative numbers? Here we will determine if the answer to negative 25 times negative 65 is positive 1625 or negative 1625.
There are many different ways to explain and determine if the answer to negative 25 times negative 65 is -1625 or +1625 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 -1625 is the correct answer using basic algebra.
We will test if -1625 is correct by setting up the equation negative 25 times negative 65 equals negative 1625, and then simplifying the equation to see if it is true.
(-25) (-65) = (-1625)
Divide both sides of the equation by (-65) :
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| = |
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The numerator and denominator on the left side both have (-65) which even each other out and can be removed:
| (-25) = |
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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:
| (-25) = |
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A numerator of 1625 and denominator of 65 on the right side is the same as 1625 divided by 65 which is 25. Now we end up with this untrue equation:
(-25) = (25)
-25 is NOT equal to 25, thus we have proven that negative 25 times negative 65 is not equal to -1625. The answer must therefore be 1625:
-25 x -65 = 1625
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 25 times negative 65 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 25 times negative 66?
Here is the next problem on our list that we have explained and calculated.
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