Find: (i) (64^{1\over 2})
1. Find: (i) (64^{1over 2}) (ii) (32^{1over 5}) (iii) (125^{1over 3}) Number Systems Exercise 1.5 Previous Next Class 9 Number Systems Exercise 1.5 1. Find: (i) (64^{1over 2}) (ii) (32^{1over…
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Rationalise the denominators of the following: (i) (1\over{\sqrt 7})
5. Rationalise the denominators of the following: (i) (1over{sqrt 7}) (ii) (1over{sqrt 7-sqrt 6}) (iii) (1over{sqrt 5+sqrt 2}) (iv) (1over{sqrt 7-2}) Number Systems Exercise 1.4 Previous Next Class 9 Number Systems Exercise 1.4 1. Classify the following numbers as…
Represent (\sqrt {9.3}) on the number line.
4. Represent (sqrt {9.3}) on the number line. Number Systems Exercise 1.4 Previous Next Class 9 Number Systems Exercise 1.4 1. Classify the following numbers as rational or irrational: (i) (2-sqrt 5) (ii) ((3+sqrt{23})-sqrt{23}) (iii) ({2sqrt 7}over{7sqrt 7}) (iv) (1over…
Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, (\pi={c\over d})·
3. Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, (pi={cover d})· This seems to contradict the fact that π is irrational. How will you resolve this contradiction?…
Simplify each of the following expressions: (i) ((3+\sqrt 3)(2+\sqrt 2))
2. Simplify each of the following expressions: (i) ((3+sqrt 3)(2+sqrt 2)) (ii) ((3+sqrt 3)(3-sqrt 3)) (iii) ((sqrt 5+sqrt 2)^2) (iv) ((sqrt 5-sqrt 2)(sqrt 5+sqrt 2)) Number Systems Exercise 1.4 Previous Next Class 9 Number Systems Exercise 1.4 1.…
Classify the following numbers as rational or irrational: (i) (2-\sqrt 5)
1. Classify the following numbers as rational or irrational: (i) (2-sqrt 5) (ii) ((3+sqrt{23})-sqrt{23}) (iii) ({2sqrt 7}over{7sqrt 7}) (iv) (1over {sqrt 2}) (v) (2pi) Number Systems Exercise 1.4 Previous Next Class 9 Number Systems Exercise 1.4 1. Classify the following…
Classify the following numbers as rational or irrational: (i) (\sqrt{23})
9. Classify the following numbers as rational or irrational: (i) (sqrt{23}) (ii) (sqrt{225}) (iii) 0.3796 (iv) 7.478478… (v) 1.101001000100001… Number Systems Exercise 1.3 Previous Next Class 9 Number Systems Exercise 1.3 1. Write the…
Find three different irrational numbers between the rational numbers (5\over 7) and (9\over 11).
8. Find three different irrational numbers between the rational numbers (5over 7) and (9over 11). Number Systems Exercise 1.3 Previous Next Class 9 Number Systems Exercise 1.3 1. Write the following in decimal form and say what kind of decimal…
Write three numbers whose decimal expansions are non-terminating non-recurring.
7. Write three numbers whose decimal expansions are non-terminating non-recurring. Number Systems Exercise 1.3 Previous Next Class 9 Number Systems Exercise 1.3 1. Write the following in decimal form and say what kind of decimal expansion each has: (i) (36over…
Look at several examples of rational numbers in the form (p\over q) (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating
6. Look at several examples of rational numbers in the form (pover q) (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property…