Brackets  BODMAS Rule
Brackets
are the symbols used to enclose a group of symbols or numbers that are to be
taken together. Brackets can be nested so that the whole content of the inner
bracket is treated as single term in the larger bracket. Brackets can be used
to change the order in which operations are to be done. For example, 7×2+3 will
be 14+3=17. If the sum intended is 7×5=35 then brackets can be put round 2+3 so
that the sum is taken before the product, i.e. 7×(2+3).
Types of brackets
( ) Parenthesis
or small brackets
{ } Middle brackets or curly brackets
[ ] Big
brackets or square brackets
While simplifying integers
under the relation of basic operations ÷, ×, +,  and with brackets, we need to
follow the BODMAS rule.
The ways to simplify
mathematical problems are as follows in the same order.
1.

V

Vinculum

¯¯¯

2.

B

Brackets

[{()}]

3.

O

Of

×

4.

D

Division

÷

5.

M

Multiplication

×

6.

A

Addition

+

7.

S

Subtraction



Workout Examples
Example 1: Simplify: 54 ÷ [{16 – (3 – 2)}
– 6]
Solution: 54 ÷ [{16 – (3 – 2)} – 6]
= 54 ÷ [{16 – 1} – 6]
= 54 ÷ [15 – 6]
= 54 ÷ 9
= 6 Ans.
Example 2: Simplify: 13 × 5 ÷ [{12 ÷ (4 –
2)} – 2]
Solution: 13 × 5 ÷ [{12 ÷ (4 – 2)} – 1]
= 13 × 5 ÷ [{12 ÷ 2} –
1]
= 13 × 5 ÷ [6 – 1]
= 13 × 5 ÷ 5
= 13 × 1
= 13 Ans.
Example 3: Simplify: 8 × 3 + [63 ÷ {18 ÷
3 (9 – 17 + 5 × 2)}]
Solution: 8 × 3 + [63 ÷ {18 ÷ 3 (9 – 17 + 5 × 2)}]
= 8 × 3 + [63 ÷ {18 ÷ 3
(9 – 17 + 10)}]
= 8 × 3 + [63 ÷ {18 ÷ 3
of 2}]
= 8 × 3 + [63 ÷ {18 ÷
6}]
= 8 × 3 + [63 ÷ 3]
= 8 × 3 + 21
= 24 + 21
= 45 Ans.
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questions or problems regarding simplification of integers here.
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