Page 52 - MathGPT_V1.0_C5

D:\Surender Prajapati\Books Final_CBSE and ICSE\ICSE\Preparatory_Stage_Maths-5_(31-10-2023)\Open_Files\CHAP_02
\\November 3, 2023 10:57 AM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

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 (–)

Example: Simplify the following.

(a) 87 – [46 – {14 ÷ (8 – 1)}] (b) {59 + (16 × 3 – 14)} + 99 ÷ 9
Solution: (a) 87 – [46 – {14 ÷ (8 – 1)}]

= 87 – [46 – {14 ÷ 7}] (Subtraction: 8 – 1, in the parentheses)

= 87 – [46 – 2] (Division: 14 ÷ 7, in the curly brackets)

= 87 – 44 (Subtraction: 46 – 2, in the square brackets)
= 43 (Subtraction: 87 – 44)

(b) {59 + (16 × 3 – 14)} + 99 ÷ 9

= {59 + (48 – 14)} + 99 ÷ 9 (Multiply: 16 × 3 in the parentheses)

= {59 + 34} + 99 ÷ 9 (Subtraction: 48 – 14 in the parentheses)

= 93 + 99 ÷ 9 (Addition: 59 + 34 in the curly brackets)
= 93 + 11 (Division: 99 ÷ 9)

= 104 (Addition: 93 + 11)

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.
Knowledge Desk

In English, parentheses are used to show alternate option, but in Maths, parentheses are
used to group the numbers.

50 Mathematics-5