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:

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.

Terminating vs Non Terminating Expansions and Their Sub-Type …
  1. This number is terminating.
  2. This number is recurring non-terminating.
  3. This number is terminating.
  4. This number is recurring non-terminating.
  5. This number is recurring non-terminating.
  6. 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:

Recurring Decimal
  1. To be written in form.

One digit 6 is repeating

We multiply it with 10 on both sides.

  1. To be written in form.

One digit 7 is repeating

We multiply it with 10 on both sides.

  1. To be written in form.

Here three digits repeats, we multiply with 1000

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