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Glite Dictionary
🤝 In agreement 🔷 Same shape ➗ Same remainder
congruently

congruently

9.0
In a way that two numbers give the same remainder when divided by a number
  • adverb
  • /kənˈɡruːəntli/
  • Specialized
translation icon : congruente
  • In modular arithmetic, 14 and 2 are congruently equivalent when divided by 12.

Examples

  • In modular arithmetic, 14 and 2 are congruently related modulo 12.

  • When divided by 7, 14 and 21 are congruently equivalent.

  • The numbers 25 and 5 behave congruently when considered under modulo 10.

  • You can add numbers congruently to simplify calculations in number theory.

  • The two numbers are congruently equivalent under modulo 5.

  • The numbers 25 and 5 are congruently equivalent under modulo 10.

  • When calculating in number theory, you can combine numbers congruently to ensure they remain in the same equivalence class.

Synonyms

modularly
vscongruently
  • Specialized
8.9

In a way that uses remainders after division by a fixed number

is about two numbers having the same remainder after division by that number

Surface Forms

congruently positive

Morphology

congruently = congruent (opaque) = congruent + ly

Morphologically formed from 'congruent' + '-ly', but the mathematical meaning is specialized and not predictable for an average learner from the everyday sense of 'congruent'.

Etymology

Congruently comes from Latin parts con- 'together' and gruere 'to come together', so it means 'coming together' or 'matching'. In number work this means two numbers 'match' under a rule, for example they give the same remainder when you divide, which is why we say the numbers are congruent.