Question

many such numbers,
An example of such a number is 0.150150015000150000...
non-terminating non-recurring lying between them. Of course, you can find infinite
1. Write the following in decimal form and say what kind of decimal expansion (2)
has :
36
100
EXERCISE 1.3
(ii) 4
EINI-
(vi)
329
400
(iv)
13
2 3
7
2. You know that 0.142857. Can you predict what the decimal expansions of
7
4 5 6
77.7
are, without actually doing the long division? If so, how?
1
[Hint : Study the remainders while finding the value of carefully.]
3. Express the following in the form, where p and q are integers and q0.
9
(1) 0.6
(i) 0.47
(iii) 0.001
4. Express 0.99999 .... in the form. Are you surprised by your answer? With yo
a
teacher and classmates discuss why the answer makes sense.
5. What can the maximum number of digits be in the repeating block of digits in
1
decimal expansion of ? Perform the division to check your answer.
17
9
6. Look at several examples of rational numbers in the form 2 (q+0), where p and
integers with no common factors other than 1 and having terminating deci
representations (expansions). Can you guess what property q must satisfy?
7. Write three numbers whose decimal expansions are non-terminating non-recurti
8. Find three different irrational numbers between the rational numbers
5 9
and
7 11
9. Classify the following numbers as rational or irrational:
(1) 23
(1) 225
(iv) 7.478478...
(v) 1.101001000100001...
(ii) 0.3796व्हाट इज द पार्लिमेंट ​

Answer 1

very long question I can't answer it