Which property allows a substance to be hammered or rolled into a thin sheet?

The correct response is based on the concept of malleability, which is the property that allows a substance to be hammered or rolled into thin sheets. Malleability refers specifically to the ability of a material to deform under compressive stress, which is typically observed in metals. When subjected to hammering or rolling, malleable substances can change shape without breaking, allowing them to be processed into thin sheets or other forms.

While ductility is related and refers to the ability of a substance to be drawn into wires, malleability is the term that specifically describes the capability to be shaped into thin sheets. The other terms, such as elasticity and flexibility, relate to the ability of a material to return to its original shape after deformation, but they do not capture the essence of being shaped into thin sheets. Hence, malleability accurately describes the desired property in this scenario.