9 times 22 is 198, but what is the answer if both 9 and 22 are negative numbers? Here we will determine if the answer to negative 9 times negative 22 is positive 198 or negative 198.
There are many different ways to explain and determine if the answer to negative 9 times negative 22 is -198 or +198 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 -198 is the correct answer using basic algebra.
We will test if -198 is correct by setting up the equation negative 9 times negative 22 equals negative 198, and then simplifying the equation to see if it is true.
(-9) (-22) = (-198)
Divide both sides of the equation by (-22) :
|
| = |
|
The numerator and denominator on the left side both have (-22) which even each other out and can be removed:
| (-9) = |
|
The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:
| (-9) = |
|
A numerator of 198 and denominator of 22 on the right side is the same as 198 divided by 22 which is 9. Now we end up with this untrue equation:
(-9) = (9)
-9 is NOT equal to 9, thus we have proven that negative 9 times negative 22 is not equal to -198. The answer must therefore be 198:
-9 x -22 = 198
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 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 9 times negative 23?
Here is the next problem on our list that we have explained and calculated.
Copyright | Privacy Policy | Disclaimer | Contact