Application of BODMAS in Maths helping you solve expressions step by step

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BODMAS is an acronym that represents the order of operations in mathematics, helping you solve expressions step by step. It stands for:
• B: Brackets
• O: Orders (i.e., powers and roots, like squares or square roots)
• D: Division
• M: Multiplication
• A: Addition
• S: Subtraction
The rule tells you the sequence in which you should perform these operations in a mathematical expression to get the correct result. Here’s how it works:
1. Brackets (B): Solve anything inside parentheses `()`, square brackets `[]`, or curly braces `{}` first.
Example: In the expression `2 × (3 + 5)`, solve the part inside the brackets first:
`2 × (3 + 5) = 2 × 8 = 16`
2. Orders (O): Solve powers (exponents) or roots next. This includes squares `2²` or square roots `√`.
Example: `4 + 3²` → solve the exponent first:
`4 + 9 = 13`
3. Division (D) and Multiplication (M): Do these next, from left to right, whichever comes first.
Example: In `6 ÷ 2 × 3`, you divide first (because division comes first from the left):
`6 ÷ 2 = 3`, then multiply:
`3 × 3 = 9`
4. Addition (A) and Subtraction (S): Perform these operations last, also from left to right.
Example: `5 + 3 – 2`, you add first:
`5 + 3 = 8`, then subtract:
`8 – 2 = 6`
Example of BODMAS in action:
For the expression:
`3 + 6 × (5 + 4) ÷ 3²`
1. Brackets first:
`3 + 6 × (9) ÷ 3²`

2. Orders (Powers):
`3 + 6 × 9 ÷ 9`
3. Division and Multiplication from left to right:
`3 + (6 × 9) ÷ 9 = 3 + 54 ÷ 9 = 3 + 6`
4. Addition:
`3 + 6 = 9`
So, the result is `9`.
This is how the BODMAS rule helps in solving complex expressions in the correct order!