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Laws of Operations
Commutative Property:
Addition and multiplication are commutative operations; the order in which they are performed

---

does not impact the answer. 
a
·
b
=
b
·
a
a
+
b
=
b
+
a
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Associative Property:
Addition and multiplication are also associative; when written as an expression, they can be
regrouped without impacting the final answer. 
a
+ ( 
b
+
c
) = ( 
a
+
b
) +
c
( 
a
·
b
) ·
c
=
a
· ( 
b
·
c
)
Distributive Property:
The distributive property outlines how values in an expression should be distributed to the
terms being added or subtracted. The distributive property can also be used in division.
 
a
( 
b
+
c
) =
ab
+
ac
a
+
b
_ 
2 =
a

---

_2 +
b
_2
Order of Operations
The commutative, associative, and distributive properties outline some standard approaches to dealing with addition
and multiplication. When other operations are involved, it is important to understand the proper order in which to
solve each component of the problem. 
The acronym
PEMDAS
outlines the correct order for mathematical operations. Performing operations out of order,
specifically those dealing with more than addition and multiplication, will often lead you to the incorrect answer. 
Parentheses:
Complete anything in