Question: is ( 1 / 3 ) + ( 2 / 3 ) exactly equal to 1 in double precision floating point arithmetic, usint the IEEE

is (1/3)+(2/3) exactly equal to 1 in double precision floating point arithmetic, usint the IEEE rounding to nearest rule? Does this help explain why the rule is expressed as it is? Would the sum be the same if chopping after bit 52 were used instead of IEEE rounding?.

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