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remainder

remainder

3 4.1
The amount left after dividing one number by another
  • noun
  • /rɪˈmeɪndər/
  • Specialized
translation icon : resto
  • The first time we have a point where this remainder is one we've seen before.

And I wrote it over there as well, the quotient plus the remainder over the divisor.

Examples

  • For two positive numbers a and b, mod(a, b) denotes the remainder of a divided by b.

    Academic text (2010)
  • Of every 100 people in the U.S., only one is from the upper class, fifteen to twenty are from the lower classes, and the remainder are split between the working and middle classes.

    Academic text (1995)
  • And this is actually equal to the remainder of B&A.

  • The remainder R is basically the remainder you get when you divide a by B.

  • It's 234, with a remainder of 1.

  • All you have to do is subtract each prime from the number and show that the remainder is never another prime.

    Fiction book (1998)
  • We get told what M is, then work out the remainder after division by n, and say that this is M mod n.

    Blog text (31)
  • He had $120 in tens and the remainder in fives and ones.

    Fiction book (1994)
  • The remainder is then computed by multiplying the quotient by the divisor and subtracting it from the dividend.

    Academic text (1994)
  • When dividing 17 by 5, the remainder is 2.

Synonyms

modulus
vsremainder
7.8

The remainder left when one whole number is divided by another

is the same mathematical result but serves as an alternate name

Surface Forms

remainder singular
remainders plural

Morphology

remainder = remain (transparent) = remain + der

The mathematical sense is a specific application of 'that which remains', directly formed from 'remain' plus a nominal ending.

Etymology

Remainder in math comes from the same idea as remain, which means 'to stay' or be 'left'. So a mathematical remainder is the small number that 'stays' after you divide or subtract — the amount left over.