Express each of the following rational numbers as the sum of an integer and a rational number:
(i) 125
(ii) −117
(iii) −259
(iv) −10320
We have
(i) 125=225=2+25 [∵abc=a+bc]
(ii) −117=−117=−147=−1+−47
(iii) −259=−259=−279=−2+−79
(iv) −10320=−10320=−5320=−5+−320