Order of operations Worksheets-Addition,Subtraction,Multiplication,and Division - Free Printable

Problem: Solve the given arithmetic expressions using the correct order of operations (PEMDAS/BODMAS).

The order of operations is:
1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's solve each expression step by step.

---

#### Expression ①: \( 50 \div (18 - 9) - 6 + 18 \)

1. Parentheses: \( 18 - 9 = 9 \)
\[
50 \div 9 - 6 + 18
\]

2. Division: \( 50 \div 9 = 5.555\ldots \approx 5.56 \) (or leave as a fraction if exact is needed)
\[
5.56 - 6 + 18
\]

3. Subtraction and Addition (left to right):
\[
5.56 - 6 = -0.44
\]
\[
-0.44 + 18 = 17.56
\]

Answer: \( 17.56 \)

---

#### Expression ②: \( 48 \times 2 + 9 - (48 \div 6) \)

1. Parentheses: \( 48 \div 6 = 8 \)
\[
48 \times 2 + 9 - 8
\]

2. Multiplication: \( 48 \times 2 = 96 \)
\[
96 + 9 - 8
\]

3. Addition and Subtraction (left to right):
\[
96 + 9 = 105
\]
\[
105 - 8 = 97
\]

Answer: \( 97 \)

---

#### Expression ③: \( 36 - (14 \times 2) + 22 \div 11 \)

1. Parentheses: \( 14 \times 2 = 28 \)
\[
36 - 28 + 22 \div 11
\]

2. Division: \( 22 \div 11 = 2 \)
\[
36 - 28 + 2
\]

3. Subtraction and Addition (left to right):
\[
36 - 28 = 8
\]
\[
8 + 2 = 10
\]

Answer: \( 10 \)

---

#### Expression ④: \( (28 - 4) \times 9 + (8 + 2) \)

1. Parentheses:
\[
28 - 4 = 24
\]
\[
8 + 2 = 10
\]
\[
24 \times 9 + 10
\]

2. Multiplication: \( 24 \times 9 = 216 \)
\[
216 + 10
\]

3. Addition:
\[
216 + 10 = 226
\]

Answer: \( 226 \)

---

#### Expression ⑤: \( 74 - 20 \div 2 \times (8 + 15) \)

1. Parentheses: \( 8 + 15 = 23 \)
\[
74 - 20 \div 2 \times 23
\]

2. Division: \( 20 \div 2 = 10 \)
\[
74 - 10 \times 23
\]

3. Multiplication: \( 10 \times 23 = 230 \)
\[
74 - 230
\]

4. Subtraction:
\[
74 - 230 = -156
\]

Answer: \( -156 \)

---

#### Expression ⑥: \( 36 \div (12 - 8) \times (20 - 3) \)

1. Parentheses:
\[
12 - 8 = 4
\]
\[
20 - 3 = 17
\]
\[
36 \div 4 \times 17
\]

2. Division: \( 36 \div 4 = 9 \)
\[
9 \times 17
\]

3. Multiplication:
\[
9 \times 17 = 153
\]

Answer: \( 153 \)

---

#### Expression ⑦: \( (30 + 5 \times 3) - 48 \div 10 \)

1. Parentheses:
\[
5 \times 3 = 15
\]
\[
30 + 15 = 45
\]
\[
45 - 48 \div 10
\]

2. Division: \( 48 \div 10 = 4.8 \)
\[
45 - 4.8
\]

3. Subtraction:
\[
45 - 4.8 = 40.2
\]

Answer: \( 40.2 \)

---

#### Expression ⑧: \( 42 \div 6 + 12 \times (7 - 4) \)

1. Parentheses: \( 7 - 4 = 3 \)
\[
42 \div 6 + 12 \times 3
\]

2. Division: \( 42 \div 6 = 7 \)
\[
7 + 12 \times 3
\]

3. Multiplication: \( 12 \times 3 = 36 \)
\[
7 + 36
\]

4. Addition:
\[
7 + 36 = 43
\]

Answer: \( 43 \)

---

#### Expression ⑨: \( 25 \div 5 + 40 - 14 \times 8 \)

1. Division: \( 25 \div 5 = 5 \)
\[
5 + 40 - 14 \times 8
\]

2. Multiplication: \( 14 \times 8 = 112 \)
\[
5 + 40 - 112
\]

3. Addition and Subtraction (left to right):
\[
5 + 40 = 45
\]
\[
45 - 112 = -67
\]

Answer: \( -67 \)

---

#### Expression ⑩: \( 80 - (20 + 4) \times (24 + 2) \)

1. Parentheses:
\[
20 + 4 = 24
\]
\[
24 + 2 = 26
\]
\[
80 - 24 \times 26
\]

2. Multiplication: \( 24 \times 26 = 624 \)
\[
80 - 624
\]

3. Subtraction:
\[
80 - 624 = -544
\]

Answer: \( -544 \)

---

#### Expression ⑪: \( 25 \times (10 - 5) + (3 + 2) \)

1. Parentheses:
\[
10 - 5 = 5
\]
\[
3 + 2 = 5
\]
\[
25 \times 5 + 5
\]

2. Multiplication: \( 25 \times 5 = 125 \)
\[
125 + 5
\]

3. Addition:
\[
125 + 5 = 130
\]

Answer: \( 130 \)

---

#### Expression ⑫: \( 54 \div 6 \times (13 + 9 - 14) \)

1. Parentheses: \( 13 + 9 - 14 = 8 \)
\[
54 \div 6 \times 8
\]

2. Division: \( 54 \div 6 = 9 \)
\[
9 \times 8
\]

3. Multiplication:
\[
9 \times 8 = 72
\]

Answer: \( 72 \)

---

#### Expression ⑬: \( 63 \div (24 - 16) \times 9 + 10 \)

1. Parentheses: \( 24 - 16 = 8 \)
\[
63 \div 8 \times 9 + 10
\]

2. Division: \( 63 \div 8 = 7.875 \)
\[
7.875 \times 9 + 10
\]

3. Multiplication: \( 7.875 \times 9 = 70.875 \)
\[
70.875 + 10
\]

4. Addition:
\[
70.875 + 10 = 80.875
\]

Answer: \( 80.875 \)

---

#### Expression ⑭: \( 63 \div (18 \times 2 - 16 - 11) \)

1. Parentheses:
\[
18 \times 2 = 36
\]
\[
36 - 16 = 20
\]
\[
20 - 11 = 9
\]
\[
63 \div 9
\]

2. Division:
\[
63 \div 9 = 7
\]

Answer: \( 7 \)

---

#### Expression ⑮: \( (55 - 21) + (18 \div 9) \times 2 \)

1. Parentheses:
\[
55 - 21 = 34
\]
\[
18 \div 9 = 2
\]
\[
34 + 2 \times 2
\]

2. Multiplication: \( 2 \times 2 = 4 \)
\[
34 + 4
\]

3. Addition:
\[
34 + 4 = 38
\]

Answer: \( 38 \)

---

#### Expression ⑯: \( 91 - 21 \times 2 \div (34 - 10) \)

1. Parentheses: \( 34 - 10 = 24 \)
\[
91 - 21 \times 2 \div 24
\]

2. Multiplication: \( 21 \times 2 = 42 \)
\[
91 - 42 \div 24
\]

3. Division: \( 42 \div 24 = 1.75 \)
\[
91 - 1.75
\]

4. Subtraction:
\[
91 - 1.75 = 89.25
\]

Answer: \( 89.25 \)

---

#### Expression ⑰: \( 32 + (8 \times 4 - 24) \div 20 \)

1. Parentheses:
\[
8 \times 4 = 32
\]
\[
32 - 24 = 8
\]
\[
32 + 8 \div 20
\]

2. Division: \( 8 \div 20 = 0.4 \)
\[
32 + 0.4
\]

3. Addition:
\[
32 + 0.4 = 32.4
\]

Answer: \( 32.4 \)

---

#### Expression ⑱: \( 49 \div 7 + 10 \times (15 - 9) \)

1. Parentheses: \( 15 - 9 = 6 \)
\[
49 \div 7 + 10 \times 6
\]

2. Division: \( 49 \div 7 = 7 \)
\[
7 + 10 \times 6
\]

3. Multiplication: \( 10 \times 6 = 60 \)
\[
7 + 60
\]

4. Addition:
\[
7 + 60 = 67
\]

Answer: \( 67 \)

---

#### Expression ⑲: \( 45 \div (5 \times 3) + 10 - 7 \)

1. Parentheses: \( 5 \times 3 = 15 \)
\[
45 \div 15 + 10 - 7
\]

2. Division: \( 45 \div 15 = 3 \)
\[
3 + 10 - 7
\]

3. Addition and Subtraction (left to right):
\[
3 + 10 = 13
\]
\[
13 - 7 = 6
\]

Answer: \( 6 \)

---

#### Expression ⑳: \( 27 - 3 \times (9 - 6 + 2) \)

1. Parentheses: \( 9 - 6 + 2 = 5 \)
\[
27 - 3 \times 5
\]

2. Multiplication: \( 3 \times 5 = 15 \)
\[
27 - 15
\]

3. Subtraction:
\[
27 - 15 = 12
\]

Answer: \( 12 \)

---

Final Answers:

\[
\boxed{
\begin{aligned}
&1. \, 17.56 \\
&2. \, 97 \\
&3. \, 10 \\
&4. \, 226 \\
&5. \, -156 \\
&6. \, 153 \\
&7. \, 40.2 \\
&8. \, 43 \\
&9. \, -67 \\
&10. \, -544 \\
&11. \, 130 \\
&12. \, 72 \\
&13. \, 80.875 \\
&14. \, 7 \\
&15. \, 38 \\
&16. \, 89.25 \\
&17. \, 32.4 \\
&18. \, 67 \\
&19. \, 6 \\
&20. \, 12
\end{aligned}
}
\]