Name
Date
Lesson 4
Reteach
Order of Operations with Brackets and Braces
The order of operations is a set of rules to follow when more than one operation is
used in an expression.
1.
2.
3.
4.
Perform operations in parenthesis.
Find the value of the exponents
Multiply and divide in order from left to right.
Add and subtract in order from left to right.
Parenthesis include brackets [ ] and braces { }. Perform operations inside parenthesis
first, then perform the operations inside brackets, and finally, perform operations
inside braces.
Find the value of the expression.
(2 + 3) + 3 2 × 2 - 12 ÷ 3
Add 2 and 3 that are in the parentheses.
5 + 9 × 2 - 12 ÷ 3
Square 3.
5 + 18 - 4
19
Multiply 9 by 2. Then divide 12 by 3.
Add 5 and 18. Then subtract 4 from 23.
Evaluate each expression.
1. (36 − 10) + (5 × 2 2)
2. 6 × (9 2 − 4)
3. 7 × (3 + 9) =
4. (12 × 3) − (3 × 7) =
5. (3 2 × 4) + (8 − 5) =
6. (100 + 10) × (6 − 3) =
7. 36 × (10 − 3) =
8. [3 × (2 + 4 3)] =
9. 36 ÷ (9 − 5) =
4
10. (25 − 2 3) × (6 + 16) =
Grade 5 • Lesson 4
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
5 + 3 2 × 2 - 12 ÷ 3
Name
Date
Lesson 4
Reteach
Order of Operations with Brackets and Braces
The order of operations is a set of rules to follow when more than one operation is
used in an expression.
1.
2.
3.
4.
Perform operations in parenthesis.
Find the value of the exponents
Multiply and divide in order from left to right.
Add and subtract in order from left to right.
Parenthesis include brackets [ ] and braces { }. Perform operations inside parenthesis
first, then perform the operations inside brackets, and finally, perform operations
inside braces.
Find the value of the expression.
(2 + 3) + 3 2 × 2 - 12 ÷ 3
Add 2 and 3 that are in the parentheses.
5 + 9 × 2 - 12 ÷ 3
Square 3.
5 + 18 - 4
Multiply 9 by 2. Then divide 12 by 3.
19
Add 5 and 18. Then subtract 4 from 23.
Evaluate each expression.
1. (36 − 10) + (5 × 2 2)
3. 7 × (3 + 9) =
5. (3 2 × 4) + (8 − 5) =
4
46
84
39
7. 36 × (10 − 3) =
252
9. 36 ÷ (9 − 5) =
9
2. 6 × (9 2 − 4)
462
4. (12 × 3) − (3 × 7) =
15
6. (100 + 10) × (6 − 3) =
330
198
8. [3 × (2 + 4 3)] =
10. (25 − 2 3) × (6 + 16) =
374
Grade 5 • Lesson 4
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
5 + 3 2 × 2 - 12 ÷ 3