# Decimal Representation of Irrational Number

When an irrational number is changed into a decimal, the resulting number is a nonterminating, nonrecurring decimal.

For example, consider the decimal representation of √2:

Therefore, √2 = 1.4142.... It is nonterminating. It is also nonrecurring asat every stage the remainder is different.

Thus, the irrational number √2 is represented as a nonterminating, nonrecurring decimal.

Note: The approximate value of π = 22/7 (or 3.14). Actually, π is a non-terminating, nonrecurring decimal number and so π is also an irrational number.

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Comparison of Three-digit Numbers | Arrange 3-digit Numbers |Questions

Sep 13, 24 02:48 AM

What are the rules for the comparison of three-digit numbers? (i) The numbers having less than three digits are always smaller than the numbers having three digits as:

2. ### Worksheet on Three-digit Numbers | Write the Missing Numbers | Pattern

Sep 13, 24 02:23 AM

Practice the questions given in worksheet on three-digit numbers. The questions are based on writing the missing number in the correct order, patterns, 3-digit number in words, number names in figures…

3. ### 2nd Grade Place Value | Definition | Explanation | Examples |Worksheet

Sep 13, 24 01:20 AM

The value of a digit in a given number depends on its place or position in the number. This value is called its place value.

4. ### Comparison of Two-digit Numbers | Arrange 2-digit Numbers | Examples

Sep 12, 24 03:07 PM

What are the rules for the comparison of two-digit numbers? We know that a two-digit number is always greater than a single digit number. But, when both the numbers are two-digit numbers