Name
Lesson 4
Date
Enrich
Order of Operations with Brackets and Braces
Write a numerical expression that has a value equal to each number from
1 through 30. In each expression, use each of four consecutive digits from
0–9 exactly once. You may use any operation and create 2-digit numbers
using the single digits.
Here are some examples.
Numbers used: 1, 2, 3, 4
1 = (3 × 1) - (4 - 2)
Numbers used: 3, 4, 5, 6
4 = 36 ÷ (4 + 5)
Numbers used: 1, 2, 3, 4
5=4×1+3-2
11 =
21 =
2=
12 =
22 =
3=
13 =
23 =
4=
14 =
24 =
5=
15 =
25 =
6=
16 =
26 =
7=
17 =
27 =
8=
18 =
28 =
9=
19 =
29 =
10 =
20 =
30 =
4
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
1=
Grade 5 • Lesson 4
Name
Date
Lesson 4
Enrich
Order of Operations with Brackets and Braces
Write a numerical expression that has a value equal to each number from
1 through 30. In each expression, use each of four consecutive digits from
0–9 exactly once. You may use any operation and create 2-digit numbers
using the single digits.
Here are some examples.
Numbers used: 1, 2, 3, 4
1 = (3 × 1) - (4 - 2)
Numbers used: 3, 4, 5, 6
4 = 36 ÷ (4 + 5)
Numbers used: 1, 2, 3, 4
5=4×1+3-2
Sample answers are given.
1 = (3 × 1) - (4 - 2)
2=
(3 + 4 + 5) ÷ 6
4=
36 ÷ (4 + 5)
5 = (4 × 1) + (3 - 2)
12 = (6 + 7) - (9 - 8) 22 =
78 - 56
13 = (6 × 8) - (5 × 7) 23 = (2 × 4) + (3 × 5)
14 = (6 + 7) + (9 - 8) 24 = (1 × 2) × (3 × 4)
15 =
10 + 2 + 3
25 = (4 × 5) + (2 + 3)
6=
(4 × 2) - (3 - 1) 16 = (6 × 4) - (3 + 5) 26 =
7=
(3 × 5) - (4 × 2) 17 = (5 × 3) + (4 - 2) 27 = (4 + 5) × (6 - 3)
8=
(3 + 1) × (4 ÷ 2) 18 =
9=
(6 × 4) - (5 × 3) 19 = (4 × 3) + (2 + 5) 29 = (7 × 4) + (6 - 5)
10 =
4
1+2+3+4
65 - 47
5+6+7+8
28 = (9 - 7) × (6 + 8)
20 = (6 + 4) × (7 - 5) 30 =
6+7+8+9
Grade 5 • Lesson 4
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
3 = (2 × 5) - (3 + 4)
11 = (5 + 6) × (8 - 7) 21 = (5 × 7) - (8 + 6)