BRACKETS -
BODMAS Rule -
In order to remember the order of operations, we remember the acronym ‘BODMAS’
where :-
B stands for 'Brackets',
O stands for ‘ of ’,
D stands for 'Division',
M stands for 'Multiplication',
A stands for 'Addition',
S stands for 'Subtraction',
These rules are followed in simplification of all numerical expressions involving natural numbers, fractions and decimals.
Types of Brackets
There are four types of brackets.
They are :-
[ ] Square bracket or Third bracket
{ } Curly bracket or Second Bracket,
( ) Parentheses or Common bracket or First bracket,
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Bar bracket,
Explanation -
Till now we have done problems involving common bracket. Now we will do problems involving more than one bracket. When we simplify an expression involving the use of more than one bracket, we remove them in the following order:
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i) Bar first
ii) ( ) Parentheses or Common bracket second
iii) { } Curly bracket third
iv) [ ] Square bracket fourth
Now we are going to do simplification of numerical expressions involving natural numbers and fractions using BODMAS Rule.
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Q.1) Simplify :- 92 ÷ [18 + 4 {6 + (12 – 10 + 1)}]
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92 ÷ [18 + 4 {6 + (12 – 10 + 1)}]
We first remove the bar 10 + 1 = 11
= 92 ÷ [18 + 4 {6 + (12 – 11)}]
Then we remove the common bracket 12 – 11 = 1
= 92 ÷ [18 + 4 {6 +1}]
Then we remove the curly bracket 6 + 1 = 7
= 92 ÷ [18 + 4 × 7]
Then we remove the square bracket 18 + 4 × 7 = 18 + 28 = 46 [Muliply first and then add]
= 92 ÷ 46 [Then divide]
= 2 (Ans.)