Order of Operations (PEDMAS with integers) worksheet - Free Printable

To solve the given problems, we will evaluate each expression step by step using the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

---

Left Column

1. \( 46 + (8 \times 4) \div 2 \)
- First, calculate inside the parentheses: \( 8 \times 4 = 32 \).
- Next, divide: \( 32 \div 2 = 16 \).
- Finally, add: \( 46 + 16 = 62 \).
- Answer: \( 62 \).

2. \( 49 + (4 \times 4) \div 2 \)
- First, calculate inside the parentheses: \( 4 \times 4 = 16 \).
- Next, divide: \( 16 \div 2 = 8 \).
- Finally, add: \( 49 + 8 = 57 \).
- Answer: \( 57 \).

3. \( 16 + (4 \times 4) \div 2 \)
- First, calculate inside the parentheses: \( 4 \times 4 = 16 \).
- Next, divide: \( 16 \div 2 = 8 \).
- Finally, add: \( 16 + 8 = 24 \).
- Answer: \( 24 \).

4. \( 4 \times 8^2 + 11 \)
- First, calculate the exponent: \( 8^2 = 64 \).
- Next, multiply: \( 4 \times 64 = 256 \).
- Finally, add: \( 256 + 11 = 267 \).
- Answer: \( 267 \).

5. \( 56 - 5^2 + 2 \)
- First, calculate the exponent: \( 5^2 = 25 \).
- Next, subtract: \( 56 - 25 = 31 \).
- Finally, add: \( 31 + 2 = 33 \).
- Answer: \( 33 \).

6. \( 4 \times 1^2 + 91 \)
- First, calculate the exponent: \( 1^2 = 1 \).
- Next, multiply: \( 4 \times 1 = 4 \).
- Finally, add: \( 4 + 91 = 95 \).
- Answer: \( 95 \).

7. \( 1 \times 7^2 + 87 \)
- First, calculate the exponent: \( 7^2 = 49 \).
- Next, multiply: \( 1 \times 49 = 49 \).
- Finally, add: \( 49 + 87 = 136 \).
- Answer: \( 136 \).

8. \( 7 \times (6^2 + 7) \)
- First, calculate the exponent: \( 6^2 = 36 \).
- Next, add inside the parentheses: \( 36 + 7 = 43 \).
- Finally, multiply: \( 7 \times 43 = 301 \).
- Answer: \( 301 \).

---

Right Column

1. \( 72 + (7 \times 4) \div 2 \)
- First, calculate inside the parentheses: \( 7 \times 4 = 28 \).
- Next, divide: \( 28 \div 2 = 14 \).
- Finally, add: \( 72 + 14 = 86 \).
- Answer: \( 86 \).

2. \( 31 - 9^2 + 8 \)
- First, calculate the exponent: \( 9^2 = 81 \).
- Next, subtract: \( 31 - 81 = -50 \).
- Finally, add: \( -50 + 8 = -42 \).
- Answer: \( -42 \).

3. \( 19 - 7^2 + 5 \)
- First, calculate the exponent: \( 7^2 = 49 \).
- Next, subtract: \( 19 - 49 = -30 \).
- Finally, add: \( -30 + 5 = -25 \).
- Answer: \( -25 \).

4. \( 6 \times 3 + 29 \)
- First, multiply: \( 6 \times 3 = 18 \).
- Next, add: \( 18 + 29 = 47 \).
- Answer: \( 47 \).

5. \( 9 \times 6 + 71 \)
- First, multiply: \( 9 \times 6 = 54 \).
- Next, add: \( 54 + 71 = 125 \).
- Answer: \( 125 \).

6. \( 7 \times 1^2 + 26 \)
- First, calculate the exponent: \( 1^2 = 1 \).
- Next, multiply: \( 7 \times 1 = 7 \).
- Finally, add: \( 7 + 26 = 33 \).
- Answer: \( 33 \).

7. \( 5 \times (6^2 - 2) \)
- First, calculate the exponent: \( 6^2 = 36 \).
- Next, subtract inside the parentheses: \( 36 - 2 = 34 \).
- Finally, multiply: \( 5 \times 34 = 170 \).
- Answer: \( 170 \).

8. \( 97 - 1^2 + 4 \)
- First, calculate the exponent: \( 1^2 = 1 \).
- Next, subtract: \( 97 - 1 = 96 \).
- Finally, add: \( 96 + 4 = 100 \).
- Answer: \( 100 \).

---

Final Answers

\[
\begin{array}{ll}
46 + (8 \times 4) \div 2 = 62 & 72 + (7 \times 4) \div 2 = 86 \\
49 + (4 \times 4) \div 2 = 57 & 31 - 9^2 + 8 = -42 \\
16 + (4 \times 4) \div 2 = 24 & 19 - 7^2 + 5 = -25 \\
4 \times 8^2 + 11 = 267 & 6 \times 3 + 29 = 47 \\
56 - 5^2 + 2 = 33 & 9 \times 6 + 71 = 125 \\
4 \times 1^2 + 91 = 95 & 7 \times 1^2 + 26 = 33 \\
1 \times 7^2 + 87 = 136 & 5 \times (6^2 - 2) = 170 \\
7 \times (6^2 + 7) = 301 & 97 - 1^2 + 4 = 100 \\
\end{array}
\]

\boxed{
\begin{array}{ll}
62 & 86 \\
57 & -42 \\
24 & -25 \\
267 & 47 \\
33 & 125 \\
95 & 33 \\
136 & 170 \\
301 & 100 \\
\end{array}
}