Chapter 2 Real Numbers Ex.2.4 solution.

RBSE Solutions for Class 10 Maths Chapter 2 Real Numbers Ex.2.4 solution.

Class 10 Maths Chapter 2 Real Numbers Ex.2.4 solution. Solution is provided in this post. Here we have provide the solutions of RBSE Boards Books according to chapter wise.

Chapter 2 Real Numbers Ex.2.4 solution.

RBSE Solutions for Class 10 Maths Chapter 2 Real Numbers Ex.2.4 solution.

Question 1.
Without actually performing the long division method, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Solution

Chapter 2 Real Numbers Ex.2.4 solution.

Question 2.
Write down the decimal expansion of the following rational numbers and show whether these are terminating.
(i) 
(ii) 
(iii) 
Solution

Chapter 2 Real Numbers Ex.2.4 solution.

Question 3.
For the following decimal expansions, decide whether these are rational or not. If these are rational, then write the note on prime factors of its denominator.
(i) 0.120120012000120000…
(ii) 43.123456789
(iii) 
Solution
(i) 0.120120012000120000…
The decimal expansion of this number is non-terminating and non-repeating So it cannot be written in the form of 
So, this number is not rational number
(ii) 43.123456789 = 
This number is of the form 
This is a rational number
q = 1000000000 = (10)9 = (2 x 5)9 = 29 x 59
So, prime factor of q is 2 and 5.
(iii) 
= 27.142857 142857 142857…
The decimal expansion of this number is non-terminating and recurring.
So, it can be written in the form 
This is a rational number.
So, besides 2 and 5, one other prime factor of q other prime positive integers is possible.

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