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\\February 27, 2024 10:04 AM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

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example 1: Simplify: of 15 + 2 × 5 – 4 ÷ 2.
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Solution: 1 of 15 + 2 × 5 – 4 ÷ 2 [‘Of’, of 15 = × 15 = 15 ÷ 3 = 5]
1
1
3 3 3
= 5 + 2 × 5 – 4 ÷ 2 [Division, 4 ÷ 2 = 2]

= 5 + 2 × 5 – 2 [Multiplication, 2 × 5 = 10]
= 5 + 10 – 2 [Addition, 5 + 10 = 15]

= 15 – 2 [Subtraction, 15 – 2 = 13]
= 13

bodmAs

Sometimes, in numerical expressions, we need to group the operations and to group the
operations, we use various symbols called brackets. So, we can say, brackets are grouping

symbols. We generally use the following brackets for grouping.
(a) ( ): Parentheses or round brackets

(b) { }: Braces or curly brackets

(c) [ ]: Square brackets or box brackets

(d) : Line brackets or bar brackets or vinculum

When there are nested brackets, we always solve them in the following order:
Bar brackets Parentheses ( ) Curly brackets { } Square brackets [ ]

In the order of simplification of numerical expressions along with brackets, we use BOdMAS
rule, where B stands for bracket.

Solve Solve Solve Solve
1st 2nd 3rd last

B Brackets [{( )}]

O Of Note
d Division (÷) If more than two operations are

M Multiplication (×) Same meaning inside the brackets, then they
as in OdMAS
also follow the order ODMAS.
A Addition (+)
S Subtraction (–)

teacher’s Explain to the children that if there is an 'Of' operation in a numerical expression, it is the same as the
tip multiplication of two fractions. Which is same as, multiply the numerators of both numbers and divide the
product of numerators with the product of denominators.

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