1 times 65 is 65, but what is the answer if both 1 and 65 are negative numbers? Here we will determine if the answer to negative 1 times negative 65 is positive 65 or negative 65.
There are many different ways to explain and determine if the answer to negative 1 times negative 65 is -65 or +65 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 -65 is the correct answer using basic algebra.
We will test if -65 is correct by setting up the equation negative 1 times negative 65 equals negative 65, and then simplifying the equation to see if it is true.
(-1) (-65) = (-65)
Divide both sides of the equation by (-65) :
|
| = |
|
The numerator and denominator on the left side both have (-65) which even each other out and can be removed:
| (-1) = |
|
The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:
| (-1) = |
|
A numerator of 65 and denominator of 65 on the right side is the same as 65 divided by 65 which is 1. Now we end up with this untrue equation:
(-1) = (1)
-1 is NOT equal to 1, thus we have proven that negative 1 times negative 65 is not equal to -65. The answer must therefore be 65:
-1 x -65 = 65
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 1 times negative 65 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
What is negative 1 times negative 66?
Here is the next problem on our list that we have explained and calculated.
Copyright | Privacy Policy | Disclaimer | Contact