The BODMAS rule is a fundamental concept in mathematics that dictates the order of operations when solving expressions. It helps to ensure consistent and accurate results.
Understanding BODMAS
BODMAS is an acronym that stands for:
- B - Brackets
- O - Orders (powers and square roots, etc.)
- D - Division
- M - Multiplication
- A - Addition
- S - Subtraction
This order specifies the sequence in which mathematical operations should be performed within an expression.
BODMAS Examples for Class 7
Here are some examples illustrating the application of the BODMAS rule, suitable for Class 7 students:
Example 1
Solve: 2 + 3 × 4
- Multiplication: First, perform the multiplication: 3 × 4 = 12
- Addition: Then, perform the addition: 2 + 12 = 14
Therefore, 2 + 3 × 4 = 14
Example 2
Solve: (5 + 2) × 3 - 1
- Brackets: First, solve the expression inside the brackets: 5 + 2 = 7
- Multiplication: Next, perform the multiplication: 7 × 3 = 21
- Subtraction: Finally, perform the subtraction: 21 - 1 = 20
Therefore, (5 + 2) × 3 - 1 = 20
Example 3
Solve: 10 ÷ 2 + 5
- Division: First, perform the division: 10 ÷ 2 = 5
- Addition: Then, perform the addition: 5 + 5 = 10
Therefore, 10 ÷ 2 + 5 = 10
Example 4
Solve: 20 - (6 ÷ 3) × 4 + 22
- Brackets: First, solve the expression inside the brackets: 6 ÷ 3 = 2
- Orders: Calculate the order: 22 = 4
- Multiplication: Perform the multiplication: 2 × 4 = 8
- Subtraction: Perform the subtraction: 20 - 8 = 12
- Addition: Finally, perform the addition: 12 + 4 = 16
Therefore, 20 - (6 ÷ 3) × 4 + 22 = 16
Summary of BODMAS
| Order | Operation | Example |
|---|---|---|
| 1st | Brackets | (2 + 4) = 6 |
| 2nd | Orders | 52 = 25 |
| 3rd | Division | 6 ÷ 2 = 3 |
| 4th | Multiplication | 3 x 6 = 18 |
| 5th | Addition | 18 + 25 = 43 |
| 6th | Subtraction | 43 - 10 = 33 |
According to the BODMAS rule we should calculate the Brackets first (2 + 4 = 6), then the Orders (52 = 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43).
