Continuing its slide for the eighth straight session, the Indian rupee fell by another 10 paise to 45 Rupees 35 paise against the US dollar in early trade on the Interbank Foreign Exchange today.The rupee resumed lower at 45 rupees 30 paise per dollar as against its previous close of 45 rupees 25 paise per dollar and dropped further to 45 rupees 50 paise per dollar before quoting at 45 rupees 35 paise per dollar in morning deals.