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? 0.120120012000120000…

Express the following decimals in the form of p/ q , and write the prime factors of q. What do you observe? 4.123

Given that the product of two rational numbers is rational, and suppose a and b are rationals, what can you conclude about ab ?

Is zero a rational number ? Can you write it in the form p/q , where p and q are integers and q!=0 ?

Express the following decimals in the form of p/ q , and write the prime factors of q. What do you observe? 0.1201201

Express the following decimals in the form of p/ q , and write the prime factors of q. What do you observe? 0.bar(63)

Write the condition to be satisfied by q so that the rational number (p)/(q) has a terminating decimal expansion.

Without performing division, state whether the following rational numbers will have a terminating decimal form or a non-terminating, repeating decimal form. 13/3125

Without performing division, state whether the following rational numbers will have a terminating decimal form or a non-terminating, repeating decimal form. 11/12