Foundational math vocabulary
Place Value
Pronunciation: PLAYS VAL-yoo
Place value is the value a digit receives from its position in a number.
10ⁿFoundational
Plain language
What it means
Place value is the value a digit receives from its position in a number.
Formal meaning
Mathematical definition
In a positional numeral system, each place represents a power of the base; in base ten, neighboring places differ by a factor of ten.
Where it fits
Its place in mathematics
Place value connects digits to expanded form, estimation, arithmetic algorithms, decimals, and scientific notation.
Why it matters
The practical reason to learn it
It explains why moving a digit one place left multiplies its value by ten and moving it right divides by ten.
Worked example
Write expanded form
Write 6,304 in expanded form.
- Separate the thousands, hundreds, tens, and ones places.
- Keep the zero hundreds and zero tens as empty contributions.
6,304 = 6,000 + 300 + 4.
Real-life example
Where this appears
A pharmacist reads decimal place value carefully when measuring a dose.
Common mistake
What to watch for
Dropping a zero that holds a place, such as treating 6.04 as 6.4.
Memory tip
Keep this in mind
Read decimal places from the decimal point outward: tenths, hundredths, thousandths.
Little-known fact
Keep curiosity alive
The place-value idea works in bases other than ten; computers commonly use base two and base sixteen.
A profession that uses this idea
Decimal position protects patients
Medication amounts depend on correctly reading tenths, hundredths, and thousandths.
Explore Nurses & PharmacistsFollow the learning trail
Prerequisites, related ideas and next concepts
People behind the ideas
Related Math Heroes
Brahmagupta
Brahmagupta was mathematician and astronomer. He gave systematic rules for arithmetic with zero and negative numbers and worked on quadratic equations and cyclic quadrilaterals.
Pingala
Pingala was scholar of poetic meter. His analysis of long and short syllable patterns used binary-style enumeration and recursive counting.
Put the idea to work