Meaning & use

rounding

noun·Academicmathematics

Last updated

UK/ˈraʊndɪŋ/
US/ˈraʊndɪŋ/

“rounding” is a form of “round”. See that entry for the full set of meanings.

Meaning

  1. noununcountablemathematics

    The process of changing a number to a nearby simpler value, such as the nearest whole number, ten, hundred, or set decimal place.

    Grammar: Usually uncountable: accurate rounding matters in long calculations; say a rounding error, not a rounding.

    Patterns

    • rounding to the nearest something
    • rounding of figures
    • round something up or down
    • a rounding error

    Use rounding to check whether the total bill is about right.

    The bank statement showed a small rounding difference of two cents.

    Her rounding to the nearest hundred made the estimate easy to compare.

Common combinations

rounding error
A tiny rounding error became large after thousands of repeated calculations.
round up to the nearest whole number
If the fraction is half or more, round up to the nearest whole number.
round down
The machine will round down 3.2 to 3.
rounding rules
Learn the rounding rules before you estimate the shopping total.
decimal rounding
Decimal rounding is useful when money is shown to two places.

Synonyms and how they differ

approximation
Names the close value or result, while rounding is the method used to produce it.
estimation
Broader: a rough judgment that may not follow an exact rule, unlike rounding.
rounding off
Very close in meaning, but often emphasizes shortening decimals rather than the general process.

Opposites

precisionexact calculation

Word family

round verb
To change a number to a nearby value.
round adjective
Having a circular shape; also used for a whole or complete number.
rounded adjective
Made smooth or curved; also describes a number already simplified.
roundness noun
The quality of being curved like a circle.
round off phrasal verb
To finish or simplify something, often a decimal.

Commonly confused: rounding or estimate? rounding or truncate?

rounding vs estimate

An estimate is a rough judgment, while rounding adjusts a known number by a clear rule.

rounding vs truncate

Truncation simply cuts off extra digits; rounding may raise the last kept digit.

Practice

When rounding 68 to the nearest ten, the result is ___.

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