Question

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➡ Q6 , Q7 nd Q8 should be solved

Answer 1

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Answer 2

6) We observe that when q is 2, 4, 5, 8, 10,….., then the decimal expansion is terminating. For example,

p/q = 1/2= 0. 5, denominator q = 2^1

p/q = 7/8= 0. 875, denominator q = 2^3

p/q = 4/5= 0. 8, denominator q = 5^1

We can observe that the terminating decimal may be obtained in the situation where prime factorization of the denominator of the given fractions has the power of only the bases - 2 or only 5 or both.

7) We know that all irrational numbers are non-terminating non-recurring. three numbers with decimal expansions that are non-terminating non-recurring are:

a) √3 = 1.732050807568..

b) √26 = 5.099019513592..

c) √101 = 10.04987562112..

8) 5/7 = 0. 714285…

9/11 = 0.81….

Thus, three different irrational numbers between 5/7 and 9/11 are:

a) 0.73073007300073000073…

b) 0.75075007300075000075…

c) 0.76076007600076000076…