Q4 of 96 Page 6

Classify the following numbers as rational or irrational with justification:

10.124124…

The given number is rational number.

Justification:


Since 10.124124 is non - terminating recurring decimal number, therefore it can be written in the form p/q; q≠0, p, q both are integers.


Thus, 10.124124 is rational.


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Classify the following numbers as rational or irrational with justification:

0.5918

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Classify the following numbers as rational or irrational with justification:

(1 + √5) − (4 + √5)

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Classify the following numbers as rational or irrational with justification:

1.010010001…

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Find which of the variables x, y, z and u represent rational numbers and which irrational numbers:

(i) x2 = 5 (ii) y2 = 9


(iii) z2 = .04 (iv)