https://file.aiquickdraw.com/mathbot/file/1728178671982425se9h6.jpg

Let's solve the problems step by step using the **BODMAS rule** (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

1. **(10 + 14 + 32 + 32) – 38**
   - First, solve the brackets: \(10 + 14 + 32 + 32 = 88\)
   - Then subtract 38: \(88 - 38 = 50\)
   - **Answer**: 50

2. **4 × (8 + 29) + 35 × 10**
   - First, solve the brackets: \(8 + 29 = 37\)
   - Now multiply: \(4 × 37 = 148\)
   - Multiply again: \(35 × 10 = 350\)
   - Add the results: \(148 + 350 = 498\)
   - **Answer**: 498

3. **99 ÷ 9 × 8 + (35 – 23)**
   - First, solve the division and multiplication: \(99 ÷ 9 = 11\) and \(11 × 8 = 88\)
   - Solve the brackets: \(35 - 23 = 12\)
   - Add the results: \(88 + 12 = 100\)
   - **Answer**: 100

4. **1 × 3 + (13 – 4) × 7**
   - Solve the multiplication: \(1 × 3 = 3\)
   - Solve the brackets: \(13 - 4 = 9\)
   - Multiply: \(9 × 7 = 63\)
   - Add the results: \(3 + 63 = 66\)
   - **Answer**: 66

5. **36 + 38 × 1 × 4 – 33**
   - First, multiply: \(38 × 1 = 38\), then \(38 × 4 = 152\)
   - Add: \(36 + 152 = 188\)
   - Subtract 33: \(188 - 33 = 155\)
   - **Answer**: 155

6. **11 + 35 – (32 – 18) ÷ 2**
   - Solve the brackets: \(32 - 18 = 14\)
   - Then divide: \(14 ÷ 2 = 7\)
   - Add and subtract: \(11 + 35 = 46\) and \(46 - 7 = 39\)
   - **Answer**: 39

7. **(9 × 10) × 9 ÷ 54 + 30**
   - Solve the first multiplication: \(9 × 10 = 90\), then multiply: \(90 × 9 = 810\)
   - Divide: \(810 ÷ 54 = 15\)
   - Add 30: \(15 + 30 = 45\)
   - **Answer**: 45

8. **(8 × 1 ÷ 1) ÷ 8 + 17**
   - Multiply: \(8 × 1 = 8\), then divide: \(8 ÷ 1 = 8\), and again divide: \(8 ÷ 8 = 1\)
   - Add 17: \(1 + 17 = 18\)
   - **Answer**: 18

9. **24 + (22 + 26 + 17) × 7**
   - Add inside the brackets: \(22 + 26 + 17 = 65\)
   - Multiply: \(65 × 7 = 455\)
   - Add 24: \(24 + 455 = 479\)
   - **Answer**: 479

10. **29 + (28 × 6 ÷ 4 + 17)**
    - First, multiply: \(28 × 6 = 168\), then divide: \(168 ÷ 4 = 42\)
    - Add: \(42 + 17 = 59\)
    - Add 29: \(29 + 59 = 88\)
    - **Answer**: 88

11. **37 + 38 + (18 × 4 – 16)**
    - Multiply: \(18 × 4 = 72\)
    - Subtract: \(72 - 16 = 56\)
    - Add: \(37 + 38 = 75\), and \(75 + 56 = 131\)
    - **Answer**: 131

12. **55 ÷ 11 × 10 – (3 × 6)**
    - First, solve the division and multiplication: \(55 ÷ 11 = 5\), then \(5 × 10 = 50\)
    - Solve the brackets: \(3 × 6 = 18\)
    - Subtract: \(50 - 18 = 32\)
    - **Answer**: 32

Let me know if you'd like more details or further explanations on any of these problems.

Here are 5 related questions for practice:
1. What is the importance of the BODMAS rule in solving mathematical problems?
2. Can the order of operations change the result of a calculation?
3. How do you handle multiple brackets within an equation?
4. What happens if division and multiplication occur together in an equation?
5. Can you create your own set of problems that require the use of BODMAS?

**Tip**: Always evaluate expressions inside brackets first, then handle powers (orders), followed by division and multiplication, and finally addition and subtraction.

Learn how to solve sums using the BODMAS rule with detailed step-by-step solutions. This problem set covers key arithmetic concepts and the proper order of operations. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation