The property of metals that allows them to be beaten into thin sheets is called:
Malleability
Malleability is the physical property of metals that lets them be hammered or rolled into thin sheets without breaking, because the metallic bonding allows layers of metal ions to slide over one another while the delocalised electron cloud keeps them bonded.
This is distinct from ductility, which is the ability of a metal to be drawn into thin wires, and from toughness or hardness, which describe resistance to fracture or scratching rather than the ability to be flattened into sheets.
Since the question specifically asks about beating metal into thin sheets, the correct property is malleability, exemplified by gold and silver, which are among the most malleable metals known.
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