# NCERT Class 9 Solutions: Number Systems (Chapter 1) Exercise 1.3 – Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Q. 1** Write the following in decimal form and say what kind of decimal expansion each has:

Solution:

- A decimal expansion 2 types:

1^{st} is terminating decimal means A decimal number that has digits that do not go on forever.

2^{nd} is Recurring non terminating decimal means A decimal number that has digits that go on forever.

- This number is terminating.
- This number is recurring non-terminating.
- This number is terminating.
- This number is recurring non-terminating.
- This number is recurring non-terminating.
- This number is terminating.

**Q. 2** You know that . Can you predict what the decimal expansions of are, without actually doing the long division? If so, How.

Solution:

**Q. 3** Express the following in the form of , where p and q are integers and .

Solution:

- To be written in form.

One digit 6 is repeating

We multiply it with 10 on both sides.

- To be written in form.

One digit 7 is repeating

We multiply it with 10 on both sides.

- To be written in form.

Here three digits repeats, we multiply with 1000