Why zero changed arithmeticZero turned empty places into information, which made modern calculation possible. 2 min read 1Empty place mattersZero lets 507 differ from 57 without extra symbols.507 = 5 \times 100 + 0 \times 10 + 72Rules for zeroBrahmagupta treated zero as an arithmetic value, not just an empty mark.a-a=0,\quad a\times0=03Why people resistedCompact place-value digits were powerful, but old bookkeeping worried they could be altered.4Modern payoffAlgebra, calculators, computers, and mental arithmetic all need empty places to carry meaning.
