Let’s solve each problem one by one, following the
Order of Operations (also called PEMDAS):
>
Parentheses
>
Exponents
>
Multiplication and
Division (left to right)
>
Addition and
Subtraction (left to right)
We’ll go step by step for each problem.
---
Problem 1:
13 × 3 + 12 ÷ 6
Step 1: Multiplication → 13 × 3 = 39
Step 2: Division → 12 ÷ 6 = 2
Step 3: Addition → 39 + 2 =
41
✔ Answer:
41
---
Problem 2:
15 - 10 ÷ 2 × 2
Step 1: Division first (left to right) → 10 ÷ 2 = 5
Step 2: Then multiplication → 5 × 2 = 10
Step 3: Subtraction → 15 - 10 =
5
✔ Answer:
5
---
Problem 3:
6 × 10 ÷ 2 + 16
Step 1: Multiplication → 6 × 10 = 60
Step 2: Division → 60 ÷ 2 = 30
Step 3: Addition → 30 + 16 =
46
✔ Answer:
46
---
Problem 4:
17 - 15 ÷ 5 × 3
Step 1: Division → 15 ÷ 5 = 3
Step 2: Multiplication → 3 × 3 = 9
Step 3: Subtraction → 17 - 9 =
8
✔ Answer:
8
---
Problem 5:
6 × 7 - 4 + 17
Step 1: Multiplication → 6 × 7 = 42
Step 2: Left to right for addition/subtraction → 42 - 4 = 38
Step 3: 38 + 17 =
55
✔ Answer:
55
---
Problem 6:
5 + 6 × 12 - 3
Step 1: Multiplication → 6 × 12 = 72
Step 2: Left to right → 5 + 72 = 77
Step 3: 77 - 3 =
74
✔ Answer:
74
---
Problem 7:
5 - 14 ÷ 2 + 5
Step 1: Division → 14 ÷ 2 = 7
Step 2: Left to right → 5 - 7 = -2
Step 3: -2 + 5 =
3
✔ Answer:
3
---
Problem 8:
16 ÷ 8 - 7 + 6
Step 1: Division → 16 ÷ 8 = 2
Step 2: Left to right → 2 - 7 = -5
Step 3: -5 + 6 =
1
✔ Answer:
1
---
Problem 9:
24 ÷ 8 + 8 - 7
Step 1: Division → 24 ÷ 8 = 3
Step 2: Left to right → 3 + 8 = 11
Step 3: 11 - 7 =
4
✔ Answer:
4
---
Problem 10:
2 + 20 ÷ 2 - 1
Step 1: Division → 20 ÷ 2 = 10
Step 2: Left to right → 2 + 10 = 12
Step 3: 12 - 1 =
11
✔ Answer:
11
---
Final Answer:
1) 41
2) 5
3) 46
4) 8
5) 55
6) 74
7) 3
8) 1
9) 4
10) 11
Parent Tip: Review the logic above to help your child master the concept of pemdas worksheets.