How to represent natural numbers, whole numbers and integers on number lines?
For representing different numbers one-by-one on a number line:
Natural Numbers: A number line starting from 1 (one) and marked 2, 3, 4, 5, 6, 7, 8, …… at equal distances on the right hand side of 1 is called a number line representing natural numbers .
Thus, a natural number on a number line is of the form as shown below:
Note:
The arrow-head on the right-side shows that the natural numbers continue up to infinity
Whole numbers: A
number line starting from 0 (Zero) and marked 1, 2, 3, 4, 5, 6, 7, 8, …… at
equal distances on the right hand side of 0 is called a number line
representing whole numbers.
Thus, a whole number on a number line is of the form as shown below:
Note:
The arrow-head on the right-side shows that the whole numbers continue up to infinity
Integers: Since, integers = { ..…, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ..…}, therefore, the number line, marked 0 (zero) anywhere on it with positive numbers 1, 2, 3, 4, 5, …… marked on the right-hand side of 0 at equal distances and also with negative numbers -1, -2, -3, -4, -5, …… marked on the left-hand side of 0 (zero) at the same equal distances, is said to represent integers.
Thus, an integer on a number line is of the form as shown below:
Note:
The arrow-head on both the sides show that the integers continue up to infinity on the positive side as well as on the negative side.
The distances between all the pairs of two consecutive integers are always kept same.
Now we learnt the representation of natural numbers, whole numbers and integers on number lines.
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