7. Write down the decimal expansion of the following rational numbers

1.	7. Write down the decimal expansion of the following rational numbers by writing theirdenominators in the form 2" x 5m, where n, m are non-negative integers.[Basic/STANDARD]1. 179/125 2. 251/5000
Answer» ANSWER: 179/125: Denominator = 125 = 2^0 × 5^3 251/5000 Denominator = 2^3 × 5^4 Explanation: The denominator can be WRITTEN in form of 2^n × 5^m by prime factorisation. N.B.:- min(n, m) is the number of decimal places after which it will terminate. For example, in 251/5000, 5000 = 2^3 × 5^4. So, min(3, 4) = 3. So, after three decimal places, it will terminate. In CASE when denominator is not in form of 2^a × 5^b, the number is not terminating. In case when denominator is in form of 2^a × 5^b, the number will terminate.

7. Write down the decimal expansion of the following rational numbers by writing theirdenominators in the form 2" x 5m, where n, m are non-negative integers.[Basic/STANDARD]1. 179/125 2. 251/5000

Answer»

ANSWER:

179/125:

Denominator = 125 = 2^0 × 5^3

251/5000

Denominator = 2^3 × 5^4

Explanation: The denominator can be WRITTEN in form of 2^n × 5^m by prime factorisation.

N.B.:-

min(n, m) is the number of decimal places after which it will terminate.

For example, in 251/5000, 5000 = 2^3 × 5^4. So, min(3, 4) = 3. So, after three decimal places, it will terminate.

In CASE when denominator is not in form of 2^a × 5^b, the number is not terminating.
In case when denominator is in form of 2^a × 5^b, the number will terminate.

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7. Write down the decimal expansion of the following rational numbers by writing theirdenominators in the form 2" x 5m, where n, m are non-negative integers.[Basic/STANDARD]1. 179/125 2. 251/5000​

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7. Write down the decimal expansion of the following rational numbers by writing theirdenominators in the form 2" x 5m, where n, m are non-negative integers.[Basic/STANDARD]1. 179/125 2. 251/5000