Page 24 - Math Course 1 (Book 2)

Evaluating Expressions

Mo. 7

Lesson 4 Order of Operations: Grouping Symbols

All the same and are called grouping symbols:

Brackets: [ ]
KEY CONCEPTS: Parenthesis: ( )
1. Evaluate numerical expressions by using Braces: { }
the order of operations.
2. Evaluate algebraic expressions by using Work grouping symbols from the inside out
the order of operations.
9 - [4(3+2)] = 9 – [4(5)] = 9 - 20

MO. 7 - L4a

Order of Operations: Key Concept
Numerical Expressions

Order of Operations
Vocabulary A-Z

Let us learn some vocabulary Step 1 Evaluate the expressions inside
grouping symbols.

Step 2 Evaluate all powers.
order of operations Step 3 Multiply and/or divide in order from left

A rule is needed to let you know which operation to right.
to perform f rst. This rule is called the order of Add and/or subtract in order from left
operations. Step 4 to right.
6 – (5 – 3) + 10

= 6 – 2 + 10 Let’s Begin

= 4 + 10
Evaluate Expressions
= 14
Examples

Order of operations
3
Evaluate 48 ÷ 2 • 3 + 5.
B E M-D A-S
3
48 ÷ 2 • 3 + 5 = 48 ÷ 8 • 3 + 5 Evaluate powers.
Brackets ( )
Exponents 3²
= 6 • 3 + 5 Divide 48 by 8.
Multiply and Divide x /
Add and Subtract + -
= 18 + 5 Multiply 6 and 3.
Work from LEFT to RIGHT

= 23 Add 18 and 5.
Multiply and Divide are done at the same time
LEFT to RIGHT.

Answer 23
Add and Subtract are done at the same time LEFT
to RIGHT

16