# Write three numbers whose decimal expansions are non-terminating and non-recurring.

**Solution:**

The number which has an infinite number of digits after the decimal point without any pattern of repetition of digits is known as non-terminating non-recurring decimal.

Non-terminating non-recurring decimals are also known as irrational numbers.

Here are some examples

(i) 0.212212221 . . .

(ii) 0.03003000300003 . . .

(iii) 0.825882588825 . . .

**☛ Check: **Class 9 Maths NCERT Solutions Chapter 1

**Video Solution:**

## Write three numbers whose decimal expansions are non-terminating and non-recurring.

NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.3 Question 7:

**Summary:**

The three numbers whose decimal expansions are non-terminating and non-recurring are 0.21221222..., 0.03003000300003... and 0.825882588825....

**☛ Related Questions:**

- Express the following in the form of p/q, where p and q are integers and q ≠ 0. i) 0.6 ii) 0.47 iii) 0.001
- Express 0.99999 .... in the form of p/q. Are you surprised with your answer? With your teacher and classmates discuss why the answer makes sense?
- What can be the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17? Perform the division to check your answer.
- Look at the several examples of rational numbers in the form p/q (q ≠ 0) where p and q are integers with no common factors other than 1 and having terminating decimal representation (expansions). Can you guess what property q must satisfy?

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