Class 10th Math, Real Numbers, Exercise-1.3 (Solution) and Exercise-1.4 (Solution)

CLASS 10th Math, Real Number   (NCERT)

 Exercise: 1.3 (Solution), Question-1 to Question-3

Exercise: 1.4 (Solution), Question-1 to Question-3

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Q1. Prove that √5 is irrational.

Q2. Prove that 3 + 2√5 is irrational.

Q3. Prove that the following are irrationals:

(i) 1/√2

(ii) 7√5

(iii) 6 + √2

Exercise: 1.4 (Solution), Question-1 to Question-3

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Q1. 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:

(i)13/3125 (ii)17/8 (iii) 64/455 (iv)15/1600 (v) 29/343 (vi)23/2352 (vii)129/22 5 775 (viii)6/15 (ix)35/50 (x)77/210

Solutions:-

Q2. Write down the decimal expansions of those rational numbers in Question 1 above which have terminating decimal expansions.

Solutions:-

Q3. 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. . .

See next blog for more Solution.......Thank you.