Last Updated
：2025/12/03
modular arithmetic
Noun
countable
uncountable
(number
theory)
Any
system
of
arithmetic
for
integers
which,
for
some
given
positive
integer
n,
is
equivalent
to
the
set
of
integers
being
mapped
onto
the
finite
set
{0,
...
n}
according
to
congruence
modulo
n,
and
in
which
addition
and
multiplication
are
defined
consistently
with
the
results
of
ordinary
arithmetic
being
so
mapped.
Japanese Meaning
整数論において、特定の正の整数 n を法として、整数全体を n で割った余り（0～n-1まで）に割り当て、その上で加算や乗算などの演算を通常の算術と整合性を持って定義する算術体系。
Sense（1）
(number
theory)
Any
system
of
arithmetic
for
integers
which,
for
some
given
positive
integer
n,
is
equivalent
to
the
set
of
integers
being
mapped
onto
the
finite
set
{0,
...
n}
according
to
congruence
modulo
n,
and
in
which
addition
and
multiplication
are
defined
consistently
with
the
results
of
ordinary
arithmetic
being
so
mapped.
（ plural ）
Quizzes for review
(number theory) Any system of arithmetic for integers which, for some given positive integer n, is equivalent to the set of integers being mapped onto the finite set {0, ... n} according to congruence modulo n, and in which addition and multiplication are defined consistently with the results of ordinary arithmetic being so mapped.
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See correct answer
modular arithmetic
In my number theory class, we used modular arithmetic to simplify the computation of large exponents.
See correct answer
In my number theory class, we used modular arithmetic to simplify the computation of large exponents.
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