Since asbestos is known as carcinogenic and toxic material, the safe management and disposal of asbestos wastes have become a global health issue. Currently, asbestos-cement sheets (ACS, often called roofing slates), which constitute the majority of asbestos-containing waste discharged in South Korea, are treated mostly by a melting technique at high temperatures above 1,400℃ or by solidification/stabilization of ACS followed by disposal in a controlled landfill. These treatment techniques are very cost-intensive and energy-demanding. Thus, this study has been performed to evaluate the treatability of ACS by means of chemical digestion using various acids (phosphoric acid, hydrofluoric acid and sulfuric acid), and to understand removal mechanisms via reactants and products tracking. As results of this study, it turned out that ACS has contained ~17% of chrysotile asbestos (Mg_3Si_2O_5(OH)_4) mingled within cement constituents, and final products of ACS digested by phosphoric acid, hydrofluoric acid and sulfuric acid were brushite (CaHPO_4), fluorite (CaF_2), and calcium sulfate (CaSO_4), respectively. Overall, the acid-only digestion showed a limitation on chrysotile removal below the detoxification criterion of South Korea (i.e., less than 1% wt.). Regarding asbestos destruction, magnesium in the brucite layer, Mg(OH)_2, was preferentially removed from the structure, and the silicon-oxide sheet was found to be more stable against an acid attack. This study is meaningful as the first report, so far, on chemical treatability of asbestos wastes in South Korea, and provides reactional understanding on acid digestion with raw chrysotile and ACS.