23 times 25 is 575, but what is the answer if both 23 and 25 are negative numbers? Here we will determine if the answer to negative 23 times negative 25 is positive 575 or negative 575.
There are many different ways to explain and determine if the answer to negative 23 times negative 25 is -575 or +575 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 -575 is the correct answer using basic algebra.
We will test if -575 is correct by setting up the equation negative 23 times negative 25 equals negative 575, and then simplifying the equation to see if it is true.
(-23) (-25) = (-575)
Divide both sides of the equation by (-25) :
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| = |
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The numerator and denominator on the left side both have (-25) which even each other out and can be removed:
| (-23) = |
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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:
| (-23) = |
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A numerator of 575 and denominator of 25 on the right side is the same as 575 divided by 25 which is 23. Now we end up with this untrue equation:
(-23) = (23)
-23 is NOT equal to 23, thus we have proven that negative 23 times negative 25 is not equal to -575. The answer must therefore be 575:
-23 x -25 = 575
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 23 times negative 25 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 23 times negative 26?
Here is the next problem on our list that we have explained and calculated.
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