NCERT Class 9 Solutions: Number Systems (Chapter 1) Exercise 1.3 – Part 1
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 nonterminating.

This number is terminating.

This number is recurring nonterminating.

This number is recurring nonterminating.

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