NCERT Class 9 Solutions: Number Systems (Chapter 1) Exercise 1.3 – Part 1
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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:
1st is terminating decimal means A decimal number that has digits that do not go on forever.
2nd 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