Chapter 1 Real Numbers Ex 1.4
Question 1.
Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:
![NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4 1](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-10-maths-chapter-1-real-18.png)
Solutions:
![NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4 2](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-10-maths-chapter-1-real-19.png)
![NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers Ex 1.4 3](https://rajboardexam.in/wp-content/uploads/2022/07/ncert-solutions-for-class-10-maths-chapter-1-real-20.png)
Question 2.
Write down the decimal expansions of those rational numbers in Question 1 above which have terminating decimal expansions.
Solutions:
In Question 1, (i), (ii), (iv), (vi), (viii) and (ix) are having terminating decimal expansion.
Question 3.
Here, q = 29 x 59, So prime factorisation of q is of the form 2n x 5m.
(ii) 0.120120012000120000…
Since the decimal expansion is neither terminating nor non-terminating repeating, therefore the given real number is not rational.
![](https://rajboardexam.in/wp-content/uploads/2022/07/word-image-203.png)