" (i) "43.123456789

The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form (p)/(q) what can you say about the prime factors of q ? (1) 43.123456789 (2) 0.120120012000120000 (3) 43.bar123456789

Show that each of the following numbers is rational. What can you say about the prime factors of their denominators ? (i) 23.123456789 (ii) 32. overline(123456789)

What can you say about the prime factors of their denominators ? (i) 12.123456789 (ii) 12.bar(123456789)

What can you say about the prime factors of their denominators ? (i) 12.123456789 (ii) 12.bar(123456789)

The decimal form of some real numbers are given below. In each case, decide whether the number is rational or not. If it is rational, and expressed in form (p)/(q) , what can you say about the prime factors of q? 43.123456789

The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form p/q , what can you say about the prime factors of q ? :- 43.123456789 .

The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form, p/q what can you say about the prime factors of q? 43.123456789

The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form p/q , what can you say about the prime factors of q ? :- 43.bar123456789

What is the (p)/(q) form of 43.bar(123456789) ?