BODMAS RULE:
We must remember the word VBODMAS in solving sums on simplification. These letters stand for vinculum, bracket, of, division, multiplication, addition and subtraction respectively.
The sums on simplification must be solved in that order i.e., first solve vinculum followed by bracket and so on until the sum is solved.
| V | Vinculum means bar as (-) |
| B | Bracket- () {} and then [ ] |
| O | of |
| D | Division [÷] |
| M | Multiplication [x] |
| A | Addition [+] |
| S | Subtraction [-] |
In simplifying an expression first of all bar must be removed. After removing the bar, the brackets must be removed, strictly in the order ( ), { }and [ ].
After removing the brackets, we must use the following operations strictly in the order: (i) of (ii) Division (iii) Multiplication (iv) Addition (v) Subtraction
| Example 1 | Example 2 | ||
| B | Brackets | 5 × ( 7 – 3) = 5 × 4 = 20 | 24 ÷ ( 8 – 5 ) = 24 ÷ 3 = 8 |
| O | Orders | 7 + 22 = 7 + 4 = 11 | 10 – 32 = 10 – 9 = 1 |
| D | Divide | 9 + 12 ÷ 3 = 9 + 4 = 13 | 10 – 6 ÷ 2 = 10 – 3 = 7 |
| M | Multiply | 10 ÷ 2× 3 = 10 + 6 = 16 | 9 – 4 × 2 = 9 – 8 = 1 |
| A | Add | 4 × 3 + 5 = 12 + 5 = 17 | 2 × 7 + 8 = 14 + 8 = 22 |
| S | Subtract | 10 ÷ 2 – 2 = 5 – 2 = 3 | 9 ÷ 3 – 1 = 3 – 1 = 2 |
Ordering Mathematical Operations
| B | O | D | M | A | S |
| Brackets [ ], { }, ( ) | Orders x2, √x | Divide ÷ | Multiply × | Addition + | Subtract × |