9 times 35 is 315, but what is the answer if both 9 and 35 are negative numbers? Here we will determine if the answer to negative 9 times negative 35 is positive 315 or negative 315.
There are many different ways to explain and determine if the answer to negative 9 times negative 35 is -315 or +315 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 -315 is the correct answer using basic algebra.
We will test if -315 is correct by setting up the equation negative 9 times negative 35 equals negative 315, and then simplifying the equation to see if it is true.
(-9) (-35) = (-315)
Divide both sides of the equation by (-35) :
|
| = |
|
The numerator and denominator on the left side both have (-35) 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 315 and denominator of 35 on the right side is the same as 315 divided by 35 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 35 is not equal to -315. The answer must therefore be 315:
-9 x -35 = 315
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 35 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 36?
Here is the next problem on our list that we have explained and calculated.
Copyright | Privacy Policy | Disclaimer | Contact