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Brahmasphutasiddhanta XVIII.19 (628 CE) gives explicit rules for arithmetic with zero as a number: addition, subtraction, multiplication, square root. Brahmagupta also writes a rule for division by zero — getting it wrong (treats x/0 as finite) but pioneering the question itself. Bhaskara II refined the rule ~500 years later (1150 CE) treating 1/0 as khahara — closer to modern infinity-as-limit.

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