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

example 1: 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)

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

Practice time 2g

Simplify the following.

1. 63 ÷ [24 – {15 – (4 × 3)}] 2. [97 + {30 – (5 × 2)}] × 15
3. 17 + [20 × {15 – (8 ÷ 4)} 4. 102 × {72 ÷ {65 + (84 ÷ 12)}]

5. 3982 × {45 – (90 ÷ 2)} 6. 84 ÷ [40 – {15 + (13 – 9)}]
7. [25 × {33 – (3 × 10)}] ÷ 3 8. 237 + [764 – {165 + (132 ÷ 33)}]

9. 80 + [20 × {20 – (10 ÷ 5)}] 10. 17 × [96 + {30 – (11 + 5)}]

Think and Answer
Place parentheses at the correct places so that you get the given answer.
(a) 7 + 6 × 8 = 104 (b) 5 + 3 × 5 5 = 35

AverAge

Riya, Siya and Varun are three friends. Riya has 4 marbles, Siya has 9
marbles and Varun has 8 marbles.

They want to share marbles equally to each other.

50 Mathematics-5