Table of Contents
Table of Contents
- Additive Inverse
- Practical Example
- Summary
- What’s Next?
In the previous segment, we learnt about the Addition of integers. In this segment, we will learn about the Additive inverse of an integer.
What is the Additive inverse of an integer?
The sum of an integer and its opposite integer is always 0. Each of these integers is called the Additive inverse of the other.
For example,
(i) 2 + (−2) = |2| − |−2|
= 2-2
= 0
Also, 2 and -2 are opposite integers of each other. Hence, 2 is the additive inverse of -2 and vice versa.
(ii)6 + (−6) = |6| − |−6|
= 6 − 6
= 0
Also, 6 and -6 are opposite integers of each other. Hence, 6 is the additive inverse of -6 and vice versa.
Practical example of additive inverse
Q. The cash balance of a trader at the start of the day was 0. In the afternoon he received a payment of Rs. 2000 from his customer. At the day end, he paid this amount to clear the previous dues. What amount is he left with at the end of the day if there were no other transactions on that day?
Solution:
Daily Cash Balance in tabular form can be represented as follows:
| Particulars | Amount (Rupees) |
| Opening balance | 0 |
| Receipt | +2000 |
| Payment | -2000 |
