BODMAS is a set of rules that determines the correct order of operations in a mathematical expression. Each letter in BODMAS stands for a specific operation:

• B: Brackets (solve expressions within brackets first)
• O: Order (calculate powers, roots, or exponents next)
• D: Division
• M: Multiplication
• A: Addition
• S: Subtraction

In mathematics, the order in which you perform operations can completely change the result. 
For example: Expression: 10 + 2 × 3

• Without BODMAS: Solve left-to-right: (10 + 2 = 12, then 12 × 3 = 36)
• With BODMAS: Solve multiplication first: (2 × 3 = 6, then 10 + 6 = 16)

Step 1: Solve Brackets
Focus on expressions inside (), {}, or [] first. Work from the innermost bracket outward.

Step 2: Simplify Orders
Handle powers (2²), roots (√4), or exponents (10⁴).

Step 3: Perform Division and Multiplication
Go left to right, solving any ÷ or ×.

Step 4: Finish with Addition and Subtraction
Again, go left to right, solving + or -.

Simple Example: Expression: 8 + (2 × 5)

1. Solve Brackets: (2 × 5 = 10)
2. Add: 8 + 10 = 18

1. Solve Brackets: (12 ÷ 4 = 3)
2. Multiply: 5 × 3 = 15
3. Add: 3 + 15 = 18

1. Solve Brackets: (5 + 4 = 9)
2. Multiply: 6 × 9 = 54
3. Divide: 54 ÷ 3 = 18
4. Add: 3 + 18 = 21

1. Solve Brackets: (20 - 5 = 15) and (3 + 2 = 5)
2. Simplify Order: 4² = 16
3. Divide: 15 ÷ 5 = 3
4. Multiply: 3 × 16 = 48

Here are a few problems to try on your own:

1. 7 + 3 × 2
2. (6 + 4) × 5 - 3
3. 12 ÷ (2 + 4) + 8 × 2
4. (18 - 6) ÷ 3 + 2³
5. 50 ÷ (2 + 3) × (4 + 1)