RBSE Solutions for Class 9 Maths Chapter 2 Number System Ex 2.1 is part of RBSE Solutions for Class 9 Maths. Here we have given Rajasthan Board RBSE Class 9 Maths Solutions Chapter 2 Number System Exercise 2.1.
|Chapter Name||Number System|
|Number of Questions Solved||5|
Rajasthan Board RBSE Class 9 Maths Solutions Chapter 2 Number System Ex 2.1
Classify the following numbers as rational or irrational:
Here, 23 is not a perfect square number, hence, √23 is an irrational number.
Here 225 is a perfect square of 15, hence √225 is a rational number.
(iii) 0.3796 can be written in form,
where q ≠ 0 i.e
Hence, it is a rational number.
(iv) 7.478478 i.e.
Here, pair of digits (478) are repeating as it is non-terminating but recurring.
(v) 1.101001000100001…. is an irrational number is its decimal expansion is non-terminating and non-recurring.
Write three numbers whose decimal expansions are non-terminating non-recurring.
The three numbers whose decimal expansions are non-terminating non-recurring i.e. irrational numbers are
Write the following in decimal form and say what kind of decimal expansion each has:
Express the following in the form , where p and q are integers and q ≠ 0.
(i) Let x =
i.e., x = 0.3333 …(i)
Multiplying (i) by 10, we get
10x = 3.3333 …(ii)
Subtracting (i) from (ii),
we get 10x – x = 3.3333… – 0.3333…
Find three different irrational numbers between the rational numbers and .
There are infinite irrational numbers between the two given numbers, we may choose any three of them, e.g.
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