This worksheet provides 12 practice problems to help students master the order of operations using the PEMDAS rule.
Printable PEMDAS order of operations math worksheet with 12 practice problems for students.
JPG
495×640
18.7 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #412069
⭐
Show Answer Key & Explanations
Step-by-step solution for: Order of Operations -- PEMDAS Practice Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Order of Operations -- PEMDAS Practice Worksheets
Here are the step-by-step solutions for each problem on the worksheet. Remember to follow PEMDAS: do Multiplication and Division first (from left to right), then Addition and Subtraction (from left to right).
1. $14 + 18 \div 2 \times 18 - 7$
* First, divide: $18 \div 2 = 9$.
* The equation becomes: $14 + 9 \times 18 - 7$.
* Next, multiply: $9 \times 18 = 162$.
* The equation becomes: $14 + 162 - 7$.
* Add: $14 + 162 = 176$.
* Subtract: $176 - 7 = 169$.
2. $15 \times 18 + 12 \div 3 + 9$
* First, multiply: $15 \times 18 = 270$.
* Next, divide: $12 \div 3 = 4$.
* The equation becomes: $270 + 4 + 9$.
* Add from left to right: $270 + 4 = 274$.
* Then: $274 + 9 = 283$.
3. $8 \times 4 + 9 - 9 + 18$
* First, multiply: $8 \times 4 = 32$.
* The equation becomes: $32 + 9 - 9 + 18$.
* Add: $32 + 9 = 41$.
* Subtract: $41 - 9 = 32$.
* Add: $32 + 18 = 50$.
4. $11 \times 11 - 6 \times 17 + 4$
* First, multiply the first part: $11 \times 11 = 121$.
* Next, multiply the second part: $6 \times 17 = 102$.
* The equation becomes: $121 - 102 + 4$.
* Subtract: $121 - 102 = 19$.
* Add: $19 + 4 = 23$.
5. $2 - 1 + 5 \times 4 \times 11$
* First, handle the multiplication chain: $5 \times 4 = 20$, then $20 \times 11 = 220$.
* The equation becomes: $2 - 1 + 220$.
* Subtract: $2 - 1 = 1$.
* Add: $1 + 220 = 221$.
6. $16 \times 7 \times 15 + 11 + 17$
* First, handle the multiplication chain: $16 \times 7 = 112$, then $112 \times 15 = 1680$.
* The equation becomes: $1680 + 11 + 17$.
* Add: $1680 + 11 = 1691$.
* Add: $1691 + 17 = 1708$.
7. $10 - 9 \times 24 \div 8 \times 6$
* Handle the multiplication and division from left to right.
* First multiply: $9 \times 24 = 216$.
* Equation: $10 - 216 \div 8 \times 6$.
* Next divide: $216 \div 8 = 27$.
* Equation: $10 - 27 \times 6$.
* Next multiply: $27 \times 6 = 162$.
* Equation: $10 - 162$.
* Subtract: $10 - 162 = -152$.
8. $10 \div 5 + 10 - 9 \times 11$
* First, divide: $10 \div 5 = 2$.
* Next, multiply: $9 \times 11 = 99$.
* The equation becomes: $2 + 10 - 99$.
* Add: $2 + 10 = 12$.
* Subtract: $12 - 99 = -87$.
9. $3 \times 19 \times 14 + 18 \div 2$
* First, handle the multiplication chain: $3 \times 19 = 57$, then $57 \times 14 = 798$.
* Next, divide: $18 \div 2 = 9$.
* The equation becomes: $798 + 9$.
* Add: $798 + 9 = 807$.
10. $10 \times 12 - 14 \div 2 + 15$
* First, multiply: $10 \times 12 = 120$.
* Next, divide: $14 \div 2 = 7$.
* The equation becomes: $120 - 7 + 15$.
* Subtract: $120 - 7 = 113$.
* Add: $113 + 15 = 128$.
11. $14 \div 2 - 1 + 3$
* First, divide: $14 \div 2 = 7$.
* The equation becomes: $7 - 1 + 3$.
* Subtract: $7 - 1 = 6$.
* Add: $6 + 3 = 9$.
12. $9 + 15 \div 5 \times 13$
* Handle division and multiplication from left to right.
* First, divide: $15 \div 5 = 3$.
* Equation: $9 + 3 \times 13$.
* Next, multiply: $3 \times 13 = 39$.
* Equation: $9 + 39$.
* Add: $9 + 39 = 48$.
Final Answer:
1. 169
2. 283
3. 50
4. 23
5. 221
6. 1708
7. -152
8. -87
9. 807
10. 128
11. 9
12. 48
1. $14 + 18 \div 2 \times 18 - 7$
* First, divide: $18 \div 2 = 9$.
* The equation becomes: $14 + 9 \times 18 - 7$.
* Next, multiply: $9 \times 18 = 162$.
* The equation becomes: $14 + 162 - 7$.
* Add: $14 + 162 = 176$.
* Subtract: $176 - 7 = 169$.
2. $15 \times 18 + 12 \div 3 + 9$
* First, multiply: $15 \times 18 = 270$.
* Next, divide: $12 \div 3 = 4$.
* The equation becomes: $270 + 4 + 9$.
* Add from left to right: $270 + 4 = 274$.
* Then: $274 + 9 = 283$.
3. $8 \times 4 + 9 - 9 + 18$
* First, multiply: $8 \times 4 = 32$.
* The equation becomes: $32 + 9 - 9 + 18$.
* Add: $32 + 9 = 41$.
* Subtract: $41 - 9 = 32$.
* Add: $32 + 18 = 50$.
4. $11 \times 11 - 6 \times 17 + 4$
* First, multiply the first part: $11 \times 11 = 121$.
* Next, multiply the second part: $6 \times 17 = 102$.
* The equation becomes: $121 - 102 + 4$.
* Subtract: $121 - 102 = 19$.
* Add: $19 + 4 = 23$.
5. $2 - 1 + 5 \times 4 \times 11$
* First, handle the multiplication chain: $5 \times 4 = 20$, then $20 \times 11 = 220$.
* The equation becomes: $2 - 1 + 220$.
* Subtract: $2 - 1 = 1$.
* Add: $1 + 220 = 221$.
6. $16 \times 7 \times 15 + 11 + 17$
* First, handle the multiplication chain: $16 \times 7 = 112$, then $112 \times 15 = 1680$.
* The equation becomes: $1680 + 11 + 17$.
* Add: $1680 + 11 = 1691$.
* Add: $1691 + 17 = 1708$.
7. $10 - 9 \times 24 \div 8 \times 6$
* Handle the multiplication and division from left to right.
* First multiply: $9 \times 24 = 216$.
* Equation: $10 - 216 \div 8 \times 6$.
* Next divide: $216 \div 8 = 27$.
* Equation: $10 - 27 \times 6$.
* Next multiply: $27 \times 6 = 162$.
* Equation: $10 - 162$.
* Subtract: $10 - 162 = -152$.
8. $10 \div 5 + 10 - 9 \times 11$
* First, divide: $10 \div 5 = 2$.
* Next, multiply: $9 \times 11 = 99$.
* The equation becomes: $2 + 10 - 99$.
* Add: $2 + 10 = 12$.
* Subtract: $12 - 99 = -87$.
9. $3 \times 19 \times 14 + 18 \div 2$
* First, handle the multiplication chain: $3 \times 19 = 57$, then $57 \times 14 = 798$.
* Next, divide: $18 \div 2 = 9$.
* The equation becomes: $798 + 9$.
* Add: $798 + 9 = 807$.
10. $10 \times 12 - 14 \div 2 + 15$
* First, multiply: $10 \times 12 = 120$.
* Next, divide: $14 \div 2 = 7$.
* The equation becomes: $120 - 7 + 15$.
* Subtract: $120 - 7 = 113$.
* Add: $113 + 15 = 128$.
11. $14 \div 2 - 1 + 3$
* First, divide: $14 \div 2 = 7$.
* The equation becomes: $7 - 1 + 3$.
* Subtract: $7 - 1 = 6$.
* Add: $6 + 3 = 9$.
12. $9 + 15 \div 5 \times 13$
* Handle division and multiplication from left to right.
* First, divide: $15 \div 5 = 3$.
* Equation: $9 + 3 \times 13$.
* Next, multiply: $3 \times 13 = 39$.
* Equation: $9 + 39$.
* Add: $9 + 39 = 48$.
Final Answer:
1. 169
2. 283
3. 50
4. 23
5. 221
6. 1708
7. -152
8. -87
9. 807
10. 128
11. 9
12. 48
Parent Tip: Review the logic above to help your child master the concept of order of operations pemdas practice worksheet answer key.
