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Expanded Notation


Expanded notation is the term given in elementary mathematics education for the expansion of a positive integer in the form sum_(k)b_k10^k, 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

 1234=1×1000+2×100+3×10+4.

Negative k are also allowed in expanded notation of arbitrary (not necessarily integer) numbers, e.g.,

 1234.56=1×1000+2×100+3×10+4+5×1/(10)+6×1/(100),

but such expansions usually not considered or deferred in elementary education contexts.


See also

10, Base, Decimal Expansion, Engineering Notation, Number System, Scientific Notation

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Cite this as:

Weisstein, Eric W. "Expanded Notation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ExpandedNotation.html

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