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)

What can you say about the prime factorisation of the denominators of the rational number 0.bar(1347)

Answer the following question: What can you say about the resistance of an ammeter?

Answer the following question: What can you say about the resistance of a voltmeter?

What can you say about the prime factorisations of the denominators of the following rationals:

What can you say about the prime factorisations of the denominators of the following rationals:

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? (i) 43. 123456789 (ii) 0.120120012000120000 (iii) 43.overline(123456789)

Express each of the following numbers as a product of its prime factors. (ii) 156

Express each of the following numbers as a product of its prime factors. (i) 140