KSEEB SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Ex 8.4
KSEEB SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Ex 8.4
Karnataka SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Exercise 8.4
Question 1.
Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion :
Solution:
(i)
∴ This is terminating decimal expansion.
(ii)
∴ This is terminating decimal expansion.
Question 2.
Write down the decimal expansions of those rational numbers in Question 1 above which have terminating decimal expansions.
Solution:
Question 3.
The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form p/q, what can you say about the prime factors of q?
(i) 43.123456789
(ii) 0.120120012000120000………..
(iii) 43.123456789¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Solution:
(i) 43.123456789
p/q is a rational number
Prime factor of q:
q = 109 = 29 × 59
(ii) 0.120120012000120000…………
This is an irrational number
(iii) 43.123456789¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
This is a rational number.
Because, Prime factors of ‘q’ are contrinued in non-terminating decimal expansion.
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