What can you say about the prime factorizations of the denominators of the following rational?
(i) 43.123456789
(ii)
(iii)
(iv) 0.120120012000120000…
(i) 43.123456789 = =
Since Prime factorization of the denominator is in the form, where m, n are non-negative integers.
(ii) Since has non-terminating repeating decimal expression, therefore Prime factorization of the denominator contains factors other than 2 or 5.
(iii) Since has non-terminating repeating decimal expression, therefore Prime factorization of the denominator contains factors other than 2 or 5.
(iv) Since has non-terminating repeating decimal expression, therefore Prime factorization of the denominator contains factors other than 2 or 5.