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mixedoperations

Mixed operations refer to arithmetic expressions that combine more than one operation, such as addition, subtraction, multiplication, and division. The value of such expressions is determined by the rules that govern the order of operations, which establish which calculations are performed first.

The standard order of operations is parentheses, exponents, multiplication and division (from left to right), and

Examples illustrate the importance of the order of evaluation. For instance, 8 ÷ 4 × 2 equals

In education and practice, mastering mixed operations ensures consistent results and aids in problem solving across

addition
and
subtraction
(from
left
to
right).
This
means
that
3
+
4
×
2
is
11,
while
(3
+
4)
×
2
is
14.
The
same
principle
applies
to
expressions
with
decimals,
fractions,
or
variables.
4,
because
multiplication
and
division
are
performed
from
left
to
right.
If
parentheses
are
added,
as
in
(8
÷
4)
×
2,
the
result
changes
to
4
as
well,
while
8
÷
(4
×
2)
equals
1.
These
rules
extend
to
algebraic
expressions
that
include
variables,
where
exponents
and
parentheses
can
alter
the
outcome
of
a
calculation.
various
contexts.
Misapplying
the
order
of
operations
is
a
common
source
of
error,
highlighting
the
need
for
clear
rules
and
careful
calculation
when
combining
multiple
arithmetic
operations.