Main Concept And Result
- The collection of numbers 0, +1, –1, +2, –2, +3, –3, …… is called integers.
- The numbers +1, +2, +3, +4, ….. are referred to as positive integers.
- The numbers –1, –2, –3, –4, ……. are referred to as negative integers.
- The numbers 0, +1, +2, +3, …… are called non-negative integers.
- All the positive integers lie to the right of 0 and the negative integers to the left of 0 on the number line.
- All non negative integers are the same as whole numbers and hence all the opertations on them are done as in the case of whole numbers.
- To add two negative integers, we add the corresponding positive integers and retain the negative sign with the sum.
- To add a positive integer and a negative integer, we ignore the signs and subtract integer with smaller numerical value from the integer with larger numerical value and take the sign of the larger one.
- Two integers whose sum is zero are called additive inverses of each other. They are also called the negatives of each other.
- Additive inverse of an integer is obtained by changing the sign of the integer.
- For example, the additive inverse of +5 is –5 and the additive inverse of –3 is +3.
- To subtract an integer from a given integer, we add the additive inverse of the integer to the given integer.
- To compare two integers on the number line, we locate their positions on the number line and the integer lying to the right of the other is always greater.