**Definition of Natural Numbers**

- All the counting numbers 1, 2, 3,... are called Natural Numbers.

**More about Natural Numbers**

- The set of natural numbers is represented by using the symbol N.
- The main purpose of the natural numbers is counting and ordering.
- All natural numbers are whole numbers but all whole numbers are not natural numbers.
- A natural number can be written in the form of rational number as . So, all natural numbers are rational numbers.
- The square of any natural number can be expressed as a sum of odd numbers.
- Natural numbers are a subset of the whole numbers, the integers, the rational numbers, and the real numbers.

**Examples of Natural Numbers**

- The above number line describes the natural numbers.

- The number of apples in the basket is 7, which is a natural number.

**Solved Example on Natural Numbers**

Which of the following is a natural number?

Choices:

A.

B. 0

C. 57

D. - 26

Correct Answer: C

Solution:

Step 1:is a rational number. [A rational number is the ratio of two integers in the form , where b ≠ 0.]

Step 2:0 is a whole number. [Whole Numbers are {0, 1, 2, ...}.]

Step 3:- 26 is a negative integer. [Integers are the set of whole numbers and their opposites.]

Step 4:57 is a natural number. [Natural numbers are {1, 2, 3, ...}.]

**Related Terms for Natural Numbers**

- Ascending Order
- Counting Numbers
- Descending Order
- Integer
- Irrational Number
- Negative Integer
- Negative Number
- Number
- Order
- Positive Integer
- Positive Number
- Rational Number
- Real Numbers
- Whole Number