Expanded notation is the term given in elementary mathematics education for the expansion of a positive integer in the form , i.e., as a sum of appropriate powers of 10 (the
base of the expansion) times its digits (in the case of
base-10, decimal digits). For example, the number with
decimal expansion 1234 would be written in expanded
form as
Negative
are also allowed in expanded notation of arbitrary (not necessarily integer)
numbers, e.g.,
but such expansions usually not considered or deferred in elementary education contexts.