8. Find three different irrational numbers between the rational numbers (5over 7) and (9over 11). Number Systems Exercise
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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
Write the following in decimal form and say what kind of decimal expansion each has: (i) (36\over 100)
1. Write the following in decimal form and say what kind of decimal expansion each has: (i) (36over
Show how square root 5 can be represented on the number line.
3. Show how (sqrt5) can be represented on the number line. Number Systems Exercise 1.2 Previous Next Class
Are the square roots of all positive integers irrational? If not, give an example of the square root of a number
2. Are the square roots of all positive integers irrational? If not, give an example of the square