75 times 22 is 1650, but what is the answer if both 75 and 22 are negative numbers? Here we will determine if the answer to negative 75 times negative 22 is positive 1650 or negative 1650.
There are many different ways to explain and determine if the answer to negative 75 times negative 22 is -1650 or +1650 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 -1650 is the correct answer using basic algebra.
We will test if -1650 is correct by setting up the equation negative 75 times negative 22 equals negative 1650, and then simplifying the equation to see if it is true.
(-75) (-22) = (-1650)
Divide both sides of the equation by (-22) :
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| = |
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The numerator and denominator on the left side both have (-22) which even each other out and can be removed:
| (-75) = |
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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:
| (-75) = |
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A numerator of 1650 and denominator of 22 on the right side is the same as 1650 divided by 22 which is 75. Now we end up with this untrue equation:
(-75) = (75)
-75 is NOT equal to 75, thus we have proven that negative 75 times negative 22 is not equal to -1650. The answer must therefore be 1650:
-75 x -22 = 1650
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 75 times negative 22 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 75 times negative 23?
Here is the next problem on our list that we have explained and calculated.
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