Chapter 1

1

• Chapter 1 Algebra and Decimals
• Lesson 1.3 Order of Operations

An expression with more than one operation could
be evaluated in different ways
2 3 X 5 2 3 X 5
(2 3) X 5 25
2 (3 X 5) 17
To ensure that everyone gets the same result,
mathematicians established the Order of Operations
Order of Operations
P
Parentheses
E
Exponents
MD
Multiplication Division (moving left to right)
AS
Addition Subtraction (moving left to right)
2

• Chapter 1 Algebra and Decimals
• Lesson 1.3 Order of Operations

Commutative Properties of Addition and
Multiplication In Words In a sum, you can add
terms in any order In a product, you can
multiply terms in any order In Algebra a b
b a ab ba
Addition 3 9 12 and 9 3 12
Multiplication 4 x 6 24 and 6 x 4 24
3

• Chapter 1 Algebra and Decimals
• Lesson 1.3 Order of Operations

Associative Properties of Addition and
Multiplication In Words The value of a sum does
not depend on how the terms are grouped The
value of a product does not depend on the factors
are grouped In Algebra (a b) c a (b
c) (ab)c a(bc)
Addition (2 7) 5 14 and 2 (7 5) 14
Multiplication (3 x 2) x 5 30 and 3 x (2 x 5
30