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aritmetische

Aritmetische, in Dutch usage referring to arithmetic, denotes the branch of mathematics that deals with numbers and the basic operations performed on them. It forms the foundation for everyday calculations as well as for more advanced mathematical topics.

The subject covers representations of numbers and the four fundamental operations: addition, subtraction, multiplication, and division.

Key concepts in aritmetische include properties of operations: commutativity (order does not affect the result for

History and development of aritmetische trace back to ancient civilizations, with significant contributions from Indian, Greek,

Applications of aritmetische are widespread, ranging from everyday budgeting and measurement to scientific computation and computer

It
also
addresses
how
these
operations
interact
with
different
number
sets,
such
as
natural
numbers,
integers,
rational
numbers,
and
real
numbers,
often
within
decimal
notation
and
other
numeral
systems.
addition
and
multiplication),
associativity
(how
numbers
group
when
performing
operations),
and
distributivity
(multiplication
distributes
over
addition).
Inverse
operations
allow
reversal
of
operations
(subtraction
as
the
inverse
of
addition,
division
as
the
inverse
of
multiplication).
Identity
elements
exist
for
each
operation
(0
for
addition,
1
for
multiplication).
The
standard
order
of
operations
dictates
which
calculations
are
performed
first,
typically
shown
by
parentheses,
exponents,
multiplication
and
division
from
left
to
right,
and
addition
and
subtraction
from
left
to
right.
and
Islamic
mathematicians.
The
adoption
of
the
decimal
numeral
system
and
the
concept
of
zero
greatly
advanced
computational
efficiency
and
accuracy,
influencing
modern
arithmetic.
algorithms.
It
also
gives
rise
to
related
topics
such
as
arithmetic
progressions
and
series,
which
describe
sequences
with
constant
differences
and
their
sums,
and
underpins
much
of
number
theory
and
basic
mathematical
reasoning.