Order of Operations
To evaluate a mathematical expression, various operations are performed. However, we do not perform them in any random order. We use the order of operations. This is a sequence of rules for evaluating such expressions.
PEMDAS
Operations in mathematical expressions must be evaluated in a systematic order, which can be simplified using the acronym PEMDAS:
P(arentheses) : [ { ( ) } ]
E(xponents) : Powers and Roots
M(ultiplication) and D(ivision) : × and ÷ (Left to Right)
A(ddition) and S(ubtraction) : + and – (Left to Right)
How to simplify a given mathematical expression using the order of operations :
(1) First simplify any expressions within grouping symbols.
(2) Next, simplify any expressions containing exponents or radicals.
(3) Then, perform any multiplication and division in order, from left to right.
(4) Then, perform any addition and subtraction in order, from left to right.
Q. Use the order of operations to evaluate the following expression.
