Order of Operations Worksheets -Worksheets Library - Free Printable

To solve the problems in the worksheet, we need to follow the order of operations, often remembered by the acronym PEMDAS:

- P: Parentheses (solve expressions inside parentheses first)
- E: Exponents (solve any exponents next)
- M/D: Multiplication and Division (work from left to right)
- A/S: Addition and Subtraction (work from left to right)

Let's solve each problem step by step.

---

Problem 1: \( 5 \times 8 + 2 - 6 \)

1. Multiplication: \( 5 \times 8 = 40 \)
\[
5 \times 8 + 2 - 6 = 40 + 2 - 6
\]
2. Addition: \( 40 + 2 = 42 \)
\[
40 + 2 - 6 = 42 - 6
\]
3. Subtraction: \( 42 - 6 = 36 \)

Answer: \( 36 \)

---

Problem 2: \( 4 \times 1 + 7 - 3 \)

1. Multiplication: \( 4 \times 1 = 4 \)
\[
4 \times 1 + 7 - 3 = 4 + 7 - 3
\]
2. Addition: \( 4 + 7 = 11 \)
\[
4 + 7 - 3 = 11 - 3
\]
3. Subtraction: \( 11 - 3 = 8 \)

Answer: \( 8 \)

---

Problem 3: \( 7 + 3 \times 5 - 9 \)

1. Multiplication: \( 3 \times 5 = 15 \)
\[
7 + 3 \times 5 - 9 = 7 + 15 - 9
\]
2. Addition: \( 7 + 15 = 22 \)
\[
7 + 15 - 9 = 22 - 9
\]
3. Subtraction: \( 22 - 9 = 13 \)

Answer: \( 13 \)

---

Problem 4: \( 6 - 2 \times 3 + 7 \)

1. Multiplication: \( 2 \times 3 = 6 \)
\[
6 - 2 \times 3 + 7 = 6 - 6 + 7
\]
2. Subtraction: \( 6 - 6 = 0 \)
\[
6 - 6 + 7 = 0 + 7
\]
3. Addition: \( 0 + 7 = 7 \)

Answer: \( 7 \)

---

Problem 5: \( 9 - 4 \div 2 \times 2 \)

1. Division: \( 4 \div 2 = 2 \)
\[
9 - 4 \div 2 \times 2 = 9 - 2 \times 2
\]
2. Multiplication: \( 2 \times 2 = 4 \)
\[
9 - 2 \times 2 = 9 - 4
\]
3. Subtraction: \( 9 - 4 = 5 \)

Answer: \( 5 \)

---

Problem 6: \( 3 + 9 \times 4 - 5 \)

1. Multiplication: \( 9 \times 4 = 36 \)
\[
3 + 9 \times 4 - 5 = 3 + 36 - 5
\]
2. Addition: \( 3 + 36 = 39 \)
\[
3 + 36 - 5 = 39 - 5
\]
3. Subtraction: \( 39 - 5 = 34 \)

Answer: \( 34 \)

---

Problem 7: \( 2 \times 7 \div 7 + 9 \)

1. Multiplication: \( 2 \times 7 = 14 \)
\[
2 \times 7 \div 7 + 9 = 14 \div 7 + 9
\]
2. Division: \( 14 \div 7 = 2 \)
\[
14 \div 7 + 9 = 2 + 9
\]
3. Addition: \( 2 + 9 = 11 \)

Answer: \( 11 \)

---

Problem 8: \( 9 \div 3 \times 6 + 5 \)

1. Division: \( 9 \div 3 = 3 \)
\[
9 \div 3 \times 6 + 5 = 3 \times 6 + 5
\]
2. Multiplication: \( 3 \times 6 = 18 \)
\[
3 \times 6 + 5 = 18 + 5
\]
3. Addition: \( 18 + 5 = 23 \)

Answer: \( 23 \)

---

Problem 9: \( 6 + 5 \times 3 - 7 \)

1. Multiplication: \( 5 \times 3 = 15 \)
\[
6 + 5 \times 3 - 7 = 6 + 15 - 7
\]
2. Addition: \( 6 + 15 = 21 \)
\[
6 + 15 - 7 = 21 - 7
\]
3. Subtraction: \( 21 - 7 = 14 \)

Answer: \( 14 \)

---

Problem 10: \( 7 \times 5 + 8 - 2 \)

1. Multiplication: \( 7 \times 5 = 35 \)
\[
7 \times 5 + 8 - 2 = 35 + 8 - 2
\]
2. Addition: \( 35 + 8 = 43 \)
\[
35 + 8 - 2 = 43 - 2
\]
3. Subtraction: \( 43 - 2 = 41 \)

Answer: \( 41 \)

---

Final Answers

\[
\boxed{
\begin{array}{cc}
36 & 8 \\
13 & 7 \\
5 & 34 \\
11 & 23 \\
14 & 41 \\
\end{array}
}
\]