The BODMAS Rule is a standard order of operations used to simplify mathematical expressions.
It ensures that everyone solves expressions in the same correct sequence.
| Letter | Meaning | Operation |
|---|---|---|
| B | Brackets | (), {}, [] |
| O | Orders | Powers & Roots (exponents, indices, surds) |
| D | Division | ÷ |
| M | Multiplication | × |
| A | Addition | + |
| S | Subtraction | − |
This rule avoids confusion when an expression contains multiple operators.
⭐ 5 Solved Examples of BODMAS Rules (With Explanation)
Apply BODMAS:
Answer: 21
Division & multiplication left-to-right:
Answer: 16
📝Explanation: Multiply first → 3 × 4 = 123 × 4 = 12; then add → 7+12 = 197 + 12 = 19.
📝 Description:
Left-to-right rule:
18÷3= 618 ÷ 3 = 6 → 6 × 2 = 126 × 2 = 12.
📝 Description:
Brackets → 8 − 2 = 68 - 2 = 6.
Next multiplication → 5 × 3 = 155 × 3 = 15.
Add → 6 + 15 = 216 + 15 = 21.
📝 Description:
Orders → 5² = 25
Division → 10 ÷ 2 = 5
Now 25 − 5 = 20
📝 Description:
Brackets → 4 + 2 = 6
Then division → 36 ÷ 6 = 6
📝 Description: Brackets → 10 × 3 = 30
📝 Description:
Left-to-right:
6 ÷ 3 = 2
2 × 4 = 8
Then add: 2 + 8 = 10
📝 Description:
Brackets:
9 ÷ 3 = 3 and 8 − 4 = 4,
Add → 3 + 4 = 7.
But option C = 8?
Correct total = 7.
📝 Description:
Brackets: 6 − 4 = 2
Orders: 2² = 4
Multiply: 3 × 4 = 12
📝 Description:
Left-to-right:
64÷4=16
16÷2=8
📝 Description:
Brackets: 5 − 2 = 3
Division: 12 ÷ 3 = 4
Addition: 4 + 4 = 8
📝 Description:
Orders: 3² = 9
Multiplication: 2 × 9 = 18
Subtract: 25 − 18 = 7
But option D = 13.
Correct answer = 7.
📝 Description:
Brackets: 4 × 3 = 12
Orders: 2² = 4
Add: 12 + 4 = 16
📝 Description:
Brackets: 5 + 3 = 8
Multiply: 2 × 8 =16
Subtract: 16 − 4 = 12
📝 Description:
Brackets give → 6 × 3 = 18?
Actually:
18 ÷ 3 = 6 and 9 − 6 = 3
Multiply: 6 × 3 = 18
Correct answer = 18.
📝 Description:
Multiplication: 4 × 6 = 24
Then left to right:
50 − 24 + 2 = 26 + 2 =28
Correct answer = 28.
📝 Description:
Division: 12 ÷ 4 = 3
Then: 3 + 3 − 2 = 4
Correct answer = 4.
📝 Description:
Orders: 7² = 49
Brackets: 49 − 20 = 29
Divide: 29 ÷ 3 ≈ 9.67
But options are integers.
Correct integer? None exactly fit.
Closest: 10? But not given.
✔ Correct answer = no exact match, but correct value is 9.67.
📝 Description:
Brackets: 10² = 100
Divide: 100 ÷ 5 =20
📝 Description:
Brackets: 5 × 2 = 10
Divide: 100 ÷ 10 = 10
Add: 10 + 6 = 16
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