Order of Operations - Free Printable
Educational worksheet: Order of Operations. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Order of Operations
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Show Answer Key & Explanations
Step-by-step solution for: Order of Operations
Let’s solve each problem one by one, following the order of operations:
> PEMDAS = Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)
We’ll go step by step for all 30 problems.
---
1) 10 - 5 × 2
→ Multiply first: 5 × 2 = 10
→ Then subtract: 10 - 10 = 0
2) 20 ÷ 2 + 3
→ Divide first: 20 ÷ 2 = 10
→ Then add: 10 + 3 = 13
3) 8 + 2 × 7
→ Multiply first: 2 × 7 = 14
→ Then add: 8 + 14 = 22
4) 5 - 6 × 0
→ Multiply first: 6 × 0 = 0
→ Then subtract: 5 - 0 = 5
5) 3 × 9 - 7
→ Multiply first: 3 × 9 = 27
→ Then subtract: 27 - 7 = 20
6) 5 × 3 - 7
→ Multiply first: 5 × 3 = 15
→ Then subtract: 15 - 7 = 8
7) 6 - 2 × 5
→ Multiply first: 2 × 5 = 10
→ Then subtract: 6 - 10 = -4
8) 24 ÷ 6 - 5
→ Divide first: 24 ÷ 6 = 4
→ Then subtract: 4 - 5 = -1
9) 2 × 3 × 5
→ Left to right: 2 × 3 = 6; 6 × 5 = 30
10) 12 ÷ 4 ÷ 3
→ Left to right: 12 ÷ 4 = 3; 3 ÷ 3 = 1
---
11) 3 + 9 × 4
→ Multiply first: 9 × 4 = 36
→ Then add: 3 + 36 = 39
12) 12 - 5 × 3
→ Multiply first: 5 × 3 = 15
→ Then subtract: 12 - 15 = -3
13) 9 + 10 ÷ 2
→ Divide first: 10 ÷ 2 = 5
→ Then add: 9 + 5 = 14
14) 5 × 3 ÷ 2
→ Left to right: 5 × 3 = 15; 15 ÷ 2 = 7.5
15) 14 - 9 × 3
→ Multiply first: 9 × 3 = 27
→ Then subtract: 14 - 27 = -13
16) 6 + 7 × 5
→ Multiply first: 7 × 5 = 35
→ Then add: 6 + 35 = 41
17) 6 × 3 - 9
→ Multiply first: 6 × 3 = 18
→ Then subtract: 18 - 9 = 9
18) 3 × (4 + 2)
→ Parentheses first: 4 + 2 = 6
→ Then multiply: 3 × 6 = 18
19) (9 - 4) × 3
→ Parentheses first: 9 - 4 = 5
→ Then multiply: 5 × 3 = 15
20) 4 × 9 - 5
→ Multiply first: 4 × 9 = 36
→ Then subtract: 36 - 5 = 31
---
21) 7 - 36 ÷ 3
→ Divide first: 36 ÷ 3 = 12
→ Then subtract: 7 - 12 = -5
22) 14 + 8 ÷ 2
→ Divide first: 8 ÷ 2 = 4
→ Then add: 14 + 4 = 18
23) 7 × (9 - 3)
→ Parentheses first: 9 - 3 = 6
→ Then multiply: 7 × 6 = 42
24) 12 ÷ 4 × 6
→ Left to right: 12 ÷ 4 = 3; 3 × 6 = 18
25) (8 - 3) × 5
→ Parentheses first: 8 - 3 = 5
→ Then multiply: 5 × 5 = 25
26) 4 × (5 + 8)
→ Parentheses first: 5 + 8 = 13
→ Then multiply: 4 × 13 = 52
27) 25 - 3 × 9
→ Multiply first: 3 × 9 = 27
→ Then subtract: 25 - 27 = -2
28) 14 × 2 + 7
→ Multiply first: 14 × 2 = 28
→ Then add: 28 + 7 = 35
29) 48 ÷ (2 × 4)
→ Parentheses first: 2 × 4 = 8
→ Then divide: 48 ÷ 8 = 6
30) 18 - 6 × 5
→ Multiply first: 6 × 5 = 30
→ Then subtract: 18 - 30 = -12
---
Final Answer:
1) 0
2) 13
3) 22
4) 5
5) 20
6) 8
7) -4
8) -1
9) 30
10) 1
11) 39
12) -3
13) 14
14) 7.5
15) -13
16) 41
17) 9
18) 18
19) 15
20) 31
21) -5
22) 18
23) 42
24) 18
25) 25
26) 52
27) -2
28) 35
29) 6
30) -12
> PEMDAS = Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)
We’ll go step by step for all 30 problems.
---
1) 10 - 5 × 2
→ Multiply first: 5 × 2 = 10
→ Then subtract: 10 - 10 = 0
2) 20 ÷ 2 + 3
→ Divide first: 20 ÷ 2 = 10
→ Then add: 10 + 3 = 13
3) 8 + 2 × 7
→ Multiply first: 2 × 7 = 14
→ Then add: 8 + 14 = 22
4) 5 - 6 × 0
→ Multiply first: 6 × 0 = 0
→ Then subtract: 5 - 0 = 5
5) 3 × 9 - 7
→ Multiply first: 3 × 9 = 27
→ Then subtract: 27 - 7 = 20
6) 5 × 3 - 7
→ Multiply first: 5 × 3 = 15
→ Then subtract: 15 - 7 = 8
7) 6 - 2 × 5
→ Multiply first: 2 × 5 = 10
→ Then subtract: 6 - 10 = -4
8) 24 ÷ 6 - 5
→ Divide first: 24 ÷ 6 = 4
→ Then subtract: 4 - 5 = -1
9) 2 × 3 × 5
→ Left to right: 2 × 3 = 6; 6 × 5 = 30
10) 12 ÷ 4 ÷ 3
→ Left to right: 12 ÷ 4 = 3; 3 ÷ 3 = 1
---
11) 3 + 9 × 4
→ Multiply first: 9 × 4 = 36
→ Then add: 3 + 36 = 39
12) 12 - 5 × 3
→ Multiply first: 5 × 3 = 15
→ Then subtract: 12 - 15 = -3
13) 9 + 10 ÷ 2
→ Divide first: 10 ÷ 2 = 5
→ Then add: 9 + 5 = 14
14) 5 × 3 ÷ 2
→ Left to right: 5 × 3 = 15; 15 ÷ 2 = 7.5
15) 14 - 9 × 3
→ Multiply first: 9 × 3 = 27
→ Then subtract: 14 - 27 = -13
16) 6 + 7 × 5
→ Multiply first: 7 × 5 = 35
→ Then add: 6 + 35 = 41
17) 6 × 3 - 9
→ Multiply first: 6 × 3 = 18
→ Then subtract: 18 - 9 = 9
18) 3 × (4 + 2)
→ Parentheses first: 4 + 2 = 6
→ Then multiply: 3 × 6 = 18
19) (9 - 4) × 3
→ Parentheses first: 9 - 4 = 5
→ Then multiply: 5 × 3 = 15
20) 4 × 9 - 5
→ Multiply first: 4 × 9 = 36
→ Then subtract: 36 - 5 = 31
---
21) 7 - 36 ÷ 3
→ Divide first: 36 ÷ 3 = 12
→ Then subtract: 7 - 12 = -5
22) 14 + 8 ÷ 2
→ Divide first: 8 ÷ 2 = 4
→ Then add: 14 + 4 = 18
23) 7 × (9 - 3)
→ Parentheses first: 9 - 3 = 6
→ Then multiply: 7 × 6 = 42
24) 12 ÷ 4 × 6
→ Left to right: 12 ÷ 4 = 3; 3 × 6 = 18
25) (8 - 3) × 5
→ Parentheses first: 8 - 3 = 5
→ Then multiply: 5 × 5 = 25
26) 4 × (5 + 8)
→ Parentheses first: 5 + 8 = 13
→ Then multiply: 4 × 13 = 52
27) 25 - 3 × 9
→ Multiply first: 3 × 9 = 27
→ Then subtract: 25 - 27 = -2
28) 14 × 2 + 7
→ Multiply first: 14 × 2 = 28
→ Then add: 28 + 7 = 35
29) 48 ÷ (2 × 4)
→ Parentheses first: 2 × 4 = 8
→ Then divide: 48 ÷ 8 = 6
30) 18 - 6 × 5
→ Multiply first: 6 × 5 = 30
→ Then subtract: 18 - 30 = -12
---
Final Answer:
1) 0
2) 13
3) 22
4) 5
5) 20
6) 8
7) -4
8) -1
9) 30
10) 1
11) 39
12) -3
13) 14
14) 7.5
15) -13
16) 41
17) 9
18) 18
19) 15
20) 31
21) -5
22) 18
23) 42
24) 18
25) 25
26) 52
27) -2
28) 35
29) 6
30) -12
Parent Tip: Review the logic above to help your child master the concept of order of operations math worksheets.
