40 times 66 is 2640, but what is the answer if both 40 and 66 are negative numbers? Here we will determine if the answer to negative 40 times negative 66 is positive 2640 or negative 2640.
There are many different ways to explain and determine if the answer to negative 40 times negative 66 is -2640 or +2640 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 -2640 is the correct answer using basic algebra.
We will test if -2640 is correct by setting up the equation negative 40 times negative 66 equals negative 2640, and then simplifying the equation to see if it is true.
(-40) (-66) = (-2640)
Divide both sides of the equation by (-66) :
|
| = |
|
The numerator and denominator on the left side both have (-66) which even each other out and can be removed:
| (-40) = |
|
The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:
| (-40) = |
|
A numerator of 2640 and denominator of 66 on the right side is the same as 2640 divided by 66 which is 40. Now we end up with this untrue equation:
(-40) = (40)
-40 is NOT equal to 40, thus we have proven that negative 40 times negative 66 is not equal to -2640. The answer must therefore be 2640:
-40 x -66 = 2640
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 40 times negative 66 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 40 times negative 67?
Here is the next problem on our list that we have explained and calculated.
Copyright | Privacy Policy | Disclaimer | Contact