Linked from
The 35 pages that link to Positional notation, each with the reason it gives.
ZeroRelated: Zero can mark an unoccupied position so neighboring digits retain their intended values.
Floating-point arithmeticNarrower topic: Floating-point encodings extend positional notation with a movable scale.
Binary numberNarrower topic: Binary uses positional notation, with each place worth a power of two.
Binary numeral systemNarrower topic: Binary assigns each position a successive power of two.
Hindu–Arabic numeral systemNarrower topic: Each digit’s position assigns its power of ten in this system.
Significant figuresRelated: Place value explains why trailing zeros can be ambiguous in ordinary decimal notation.
AbacusRelated: Each abacus column represents a place value, such as units or tens.
AdditionRelated: Column addition combines units of matching place value.
FibonacciNarrower topic: Place value made the calculations in Fibonacci's treatise more efficient than many Roman-numeral methods.
Place valueNarrower topic: Place value is the principle that gives positional notation its structure.
AryabhataRelated: Aryabhata used place-based arrangements of syllables to represent large numbers.
Numeral systemRelated: It is the central rule behind place-value numeral systems.
Liber AbaciRelated: The book's calculation procedures rely on place value rather than separate symbols for each magnitude.
OneRelated: The digit 1 marks units, tens, or larger powers of a base.
ArithmeticRelated: Position lets a small set of digits represent large numbers and supports written calculation.
SexagesimalNarrower topic: Sexagesimal assigns successive positions powers of 60.
Fixed-point arithmeticNarrower topic: The implied point separates integer and fractional place values in a positional representation.
HexadecimalNarrower topic: Hexadecimal assigns each position a successive power of 16.
Maya numeralsNarrower topic: Vertical placement determines each Maya digit’s contribution to the total.
The Nine Chapters on the Mathematical ArtNarrower topic: Rod numerals let the text calculate with place value centuries before its later written formats.
Unary numeral systemCompared with: Unary assigns value by symbol count, not by digit position or place value.
Egyptian mathematicsCompared with: Its absence helps explain why Egyptian calculations relied on additive symbols and doubling.
Indian mathematicsBroader topic: Positional notation is the key structural innovation behind Indian numerals.
Tally marksCompared with: Unlike place-value numerals, tallies encode quantity by repeating marks.
DigitRelated: In positional systems, each digit’s place changes its contribution to the numeral.
Egyptian numeralsCompared with: Egyptian numerals distinguish powers of ten with separate signs instead of place value.
Arabic numeralsRelated: The same Arabic numeral has different values in positions such as units, tens, and hundreds.
BaseRelated: It makes the base’s contribution to every digit explicit.
Divisibility ruleRelated: Rules for decimal digits follow from powers of ten and their remainders modulo the divisor.
Jia XianNarrower topic: Place-value notation makes the staged calculations in his algorithms practical.
History of mathematical notationRelated: Place value is a structural innovation behind compact arithmetic notation.
Jamshid al-KashiRelated: Place value made his decimal arithmetic compact and suitable for high-precision computation.
Numerical digitNarrower topic: It explains why the same digit can represent different amounts in different positions.
0 (number)Related: Zero holds empty positions, distinguishing numbers such as 205 from 25.
Number (identifier)Related: Many identifiers use positional digit strings, though their digits need not represent a quantity.