An integer is any number including 0, positive numbers, and negative numbers. It should be noted that an integer can never be a fraction, a decimal or a per cent. Some examples of integers include 1, 3, 4, 8, 99, 108, -43, -556, etc.
All natural numbers are also integers that start from 1 and end at infinity.
All whole numbers are also integers, starting from 0 and ending at infinity.
The integers are represented by the symbol ‘Z’.
Z= {……-8,-7,-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8,……}
Types of Integers:
- Zero (0)
- Positive Integers (Natural numbers)
- Negative Integers (Additive inverse of Natural Numbers)
(i) Zero
Zero is neither a positive nor a negative integer. It is a neutral number i.e. zero has no sign (+ or -).
(ii) Positive Integers
The positive integers are the natural numbers or also called counting numbers. These integers are also sometimes denoted by Z+. The positive integers lie on the right side of 0 on a number line.
Z+ → 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30,….
Negative Integers:
The negative integers are the negative of natural numbers. They are denoted by Z–. The negative integers lie on the left side of 0 on a number line
Z– → -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -28, -29, -30,…..
