Maths81Updated 2 Sept 20262 pages

BODMAS Rule Explained with Fun Examples for KS2 and Grade 7 - PDF Included!

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Amna Awan@amnaa
The order of operations, known as BODMAS rule , is a crucial concept in mathematics that helps solve complex equations accurately. This rule provides a systematic approach to solving equations with multiple operations. BODMAS stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction It ensures consistency in solving mathematical problems across different levels of education Understanding BODMAS is essential for students from elementary to advanced mathematics
BODMAS explained  – page 1

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Page 2: Detailed Explanation of BODMAS/BIDMAS

This page provides a comprehensive breakdown of the BODMAS (or BIDMAS) rule, explaining each component and its significance in equation solving.

Definition: BODMAS is an acronym that stands for Brackets, Orders (or Indices in BIDMAS), Division, Multiplication, Addition, and Subtraction.

The rule is explained step-by-step:

  1. B - Brackets: Always solve the expressions within brackets first.
  2. O/I - Orders/Indices: Calculate any exponents, square roots, or other orders.
  3. D - Division: Perform any division operations from left to right.
  4. M - Multiplication: Complete multiplication operations from left to right.
  5. A - Addition: Add any remaining terms from left to right.
  6. S - Subtraction: Subtract any remaining terms, again from left to right.

Vocabulary:

  • Indices: Another term for exponents or powers.
  • Square roots: The inverse operation of squaring a number.

Highlight: The BODMAS rule is essential for solving complex equations and ensures consistency in mathematical problem-solving across different educational levels.

This page emphasizes the importance of following the BODMAS sequence to avoid errors in calculations, especially in step by step bodmas equation solving examples.

BODMAS explained  – page 2

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Page 1: Solving a Complex Equation Using BODMAS

This page demonstrates the step-by-step application of the BODMAS rule in solving a complex equation. The example equation is:

36 ÷ 3 × 9 + 3² - 13 × 9 = 90

The solution process follows the BODMAS order:

  1. Brackets: There are no brackets in this equation, so we move to the next step.
  2. Orders: 3² is calculated first, resulting in 9.
  3. Division and Multiplication: 36 ÷ 3 = 12, then 12 × 9 = 108, and 13 × 9 = 117.
  4. Addition and Subtraction: The final steps involve adding and subtracting the remaining terms.

Example: The equation 36 ÷ 3 × 9 + 3² - 13 × 9 = 90 is solved as follows:

  1. 36 ÷ 3 × 9 + 9 - 117 = 90
  2. 12 × 9 + 9 - 117 = 90
  3. 108 + 9 - 117 = 90
  4. 117 - 117 = 90
  5. 0 = 90

Highlight: This example illustrates the importance of following the BODMAS rule to arrive at the correct solution. Without proper order, the result would be incorrect.

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