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
Month: April 2023
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})
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…
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
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
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
What can the maximum number of digits be in the repeating block of digits in the decimal expansion of (1\over 17)? Perform the division to check your answer.
5. What can the maximum number of digits be in the repeating block of digits in the decimal
Express 0.99999 …. in the form (p\over q). Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.
4. Express 0.99999 …. in the form (pover q). Are you surprised by your answer? With your teacher
Express the following in the form (p\over q), where p and q are integers and q ≠ 0. (i) (0.\overline{6})
3. Express the following in the form (pover q), where p and q are integers and q ≠
You know that ({1\over 7}=0.\overline{142857}). Can you predict what the decimal expansion of
1. Write the following in decimal form and say what kind of decimal expansion each has: (i) (36over