place value

Position determines worth

Place value is the numerical worth a digit has based on its position within a number.

In the number 352, the 3 represents three hundreds, the 5 represents five tens, and the 2 represents two ones.

Understanding place value is fundamental to arithmetic—it's why moving a digit one position left multiplies its value by ten in our base-ten system.

Related
  • tensGroups of a dozen minus two
  • onesSingle items or dollars
  • hundredsGroups of one hundred
  • decimalTenths-based notation
  • abacusBead-and-wire arithmetic tool

base ten · rounding · radix · expanded · regrouping · addition · counting · bundling · Arabic numerals · standard form · division · carry · duodecimal · subtraction · math · binary system · columns · blocks

Categories
Opposites
positional vs. intrinsic numerical meaning

place valueface value

Printed denomination shown

nominal value · intrinsic value · absolute value

systemic significance vs. individual value

place valueface value

Printed denomination shown

digit · numeral

numeral system type

place valueRoman numerals

Alphabetic number system

tally marks

Family

place, value, valuable, places, valued, values, valueless, devalue, undervalue

Familiarity
Top 100,000
Profile
Known to kids · Used worldwide · Timeless · Abstract · Rated G