Exercise 7.1

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) 43.123456789 decide whether they are rational or not. If they [...]

Write down the decimal expansions of those rational numbers in Question 1 above which have terminating decimal expansions. a) 13/3125 (b) 17/8 (c) NTD (d) 15/1600 (e) NTD (f) 23/ 2^3 5^2 (g) NTD (i) 6/15 (j) 35/50 (k) NTD state whether the following rational numbers will have a terminating decimal expansion or a non-terminating [...]

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 77/210 state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 77/210 Without actually performing the long division October 3, 2020 Category: Chapter [...]

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 6/15 state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 6/15 Without actually performing the long division October 3, 2020 Category: Chapter [...]

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 129/ 2^2 5^7 7^5 state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 129/ 2^2 5^7 7^5 Without actually performing the long [...]

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 23 /2^3 5^2 state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 23 /2^3 5^2 Without actually performing the long division October [...]

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 29/ 343 state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 29/ 343 Without actually performing the long division October 3, 2020 [...]

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 35/50 state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 35/50 Without actually performing the long division October 3, 2020 Category: Chapter [...]

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 15/1600 state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 15/1600 Without actually performing the long division October 3, 2020 Category: Chapter [...]

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 64/ 455 state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 64/ 455 Without actually performing the long division October 3, 2020 [...]