natural numbers


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