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:

Decimal Representation of Irrational Number

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.




9th Grade Math

From Decimal Representation of Irrational Number to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



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.