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What are BODMAS Rule Examples for Class 7?

Published in Math Rules 2 mins read

The BODMAS rule provides a clear order for solving mathematical expressions with multiple operations. It helps ensure everyone gets the same answer. Let's explore some examples suitable for Class 7 students. BODMAS stands for Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

Understanding the Order of Operations

The key to using BODMAS is to follow the order strictly:

  1. Brackets (B): Solve any expressions within parentheses, brackets, or braces first. Work from the innermost brackets outwards.

  2. Orders (O): This refers to exponents (powers) and roots (square roots, cube roots, etc.).

  3. Division and Multiplication (DM): Perform division and multiplication operations from left to right. They have equal importance.

  4. Addition and Subtraction (AS): Perform addition and subtraction from left to right. These also have equal importance.

Examples for Class 7

Let's look at some examples illustrating each step:

  • Example 1 (Brackets):

    (14 + 19) ÷ (13 - 2) = ?

    1. Solve the brackets first: (14 + 19) = 33 and (13 - 2) = 11
    2. The expression becomes: 33 ÷ 11 = 3

  • Example 2 (Brackets and Division):

    12 ÷ (3 + 1) × 2 = ?

    1. Brackets first: (3 + 1) = 4
    2. Division before multiplication: 12 ÷ 4 = 3
    3. Multiplication: 3 × 2 = 6

  • Example 3 (Multiplication and Addition):

    5 + 3 × 4 - 2 = ?

    1. Multiplication first: 3 × 4 = 12
    2. The expression becomes: 5 + 12 - 2
    3. Addition and subtraction from left to right: 5 + 12 = 17, then 17 - 2 = 15

  • Example 4 (Mixed Operations):

    10 + 20 ÷ (5 - 1) + 3^2 = ? (Here '^' denotes an exponent)

    1. Innermost brackets first: (5 - 1) = 4
    2. Exponent: 3^2 = 9
    3. Division: 20 ÷ 4 = 5
    4. Addition: 10 + 5 + 9 = 24

  • Example 5 (Nested Brackets):

    2 + 3 × {4 - (10 - 6)} = ?

    1. Innermost brackets first: (10 - 6) = 4
    2. Curly brackets: {4 - 4} = 0
    3. Multiplication: 3 × 0 = 0
    4. Addition: 2 + 0 = 2

Remember, consistent application of BODMAS ensures accurate calculations. Practicing these examples will build a strong foundation for more complex mathematical problems.

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