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Decimal Expansion of Rational and Irrational Numbers

Question 9 iv...

Question

Question 9 (iv)
Classify 7.478478....... as rational or irrational.

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Solution

7.478478 = $7. ¯ ¯¯¯¯¯¯ ¯ 478$

The number is non-terminating recurring.
Therefore, it is a rational number.

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Q. Classify the following numbers as rational or irrational:
(i)

\sqrt{23}

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Q. Classify the numbers as rational or irrational :

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Question 9 (v)
Classify 1.101001000100001… as rational or irrational.

Question 9 (iii)
Classify 0.3796 as rational or irrational.

Question 9 (v)
Classify 1.101001000100001… as rational or irrational.

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Decimal Expansion of Rational and Irrational Numbers

Standard IX Mathematics

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