What is the additive inverse of -17?
The Additive Inverse of -17
To find the additive inverse of -17, we need to determine the number that, when added to -17, results in a sum of zero. The additive inverse of any number is the number that, when added to it, gives a sum of zero. In other words, it is the opposite of the given number.
Definition of Additive Inverse
The additive inverse of a number 'a' is denoted as -a. It is the number that, when added to 'a', gives a sum of zero. Mathematically, -a + a = 0.
Procedure to Find the Additive Inverse
To find the additive inverse of a given number, we follow these steps:
1. Take the given number.
2. Change the sign of the number (from negative to positive or positive to negative).
3. The resulting number is the additive inverse of the given number.
Finding the Additive Inverse of -17
1. Given number: -17
2. Change the sign: -(-17) = 17
3. The additive inverse of -17 is 17.
Therefore, the additive inverse of -17 is 17. When -17 is added to 17, the sum is zero.
Visual Summary:
- The additive inverse of a number is the number that, when added to it, gives a sum of zero.
- The additive inverse of -17 is 17.
- -17 + 17 = 0.
By following the steps mentioned above, we can easily find the additive inverse of any given number.
What is the additive inverse of -17?
17 will be the additive inverse of-17 , as it represents the exact opposite natural value.