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.…
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…
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…
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…
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…
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…
5. What can the maximum number of digits be in the repeating block of digits in the decimal expansion of (1over 17)? Perform the division to check your answer. Number Systems Exercise 1.3 Previous Next Class 9 Number Systems Exercise…
4. Express 0.99999 …. in the form (pover q). Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense. Number Systems Exercise 1.3 Previous Next Class 9 Number Systems Exercise 1.3 1. Write…
3. Express the following in the form (pover q), where p and q are integers and q ≠ 0. (i) (0.overline{6}) (ii) (0.4overline{7}) (iii) (0.overline{001}) Number Systems Exercise 1.3 Previous Next Class 9 Number Systems Exercise 1.3 1. Write the…
1. Write the following in decimal form and say what kind of decimal expansion each has: (i) (36over 100) (ii) (1over 11) …
