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

example 1: Simplify: 26 ÷ 2 × 4 + 1 – 8

Solution: We have, 26 ÷ 2 × 4 + 1 – 8

= 13 × 4 + 1 – 8 (Division: 26 ÷ 2)
Remember
= 52 + 1 – 8 (Multiply: 13 × 4) (Dear Mother and Sister)
= 53 – 8 (Addition: 52 + 1) D M A S

= 45 (Subtraction: 53 – 8)

Thus, 26 ÷ 2 × 4 + 1 – 8 = 45

example 2: Simplify: 15 + 24 ÷ 3 – 1 × 6

Solution: We have, 15 + 24 ÷ 3 – 1 × 6

= 15 + 8 – 1 × 6 (Division: 24 ÷ 3)

= 15 + 8 – 6 (Multiply: 1 × 6)

= 23 – 6 (Addition: 15 + 8)

= 17 (Subtraction: 23 – 6)

Practice time 2f

Simplify the following expressions.

1. 32 – 8 × 2 2. 18 + 20 ÷ 4
3. 15 × 10 ÷ 2 4. 35 × 48 + 2024

5. 4025 ÷ 175 + 1362 6. 16 – 16 ÷ 2 – 3

7. 8 × 13 – 4 × 15 8. 37 – 6 × 4 + 32 ÷ 4

9. 30 – 28 + 36 ÷ 2 10. 96 ÷ 16 + 34 × 10 – 13

11. 3 × 4 – 45 ÷ 9 + 12 × 5 12. 70 ÷ 14 × 6 – 10 ÷ 5 + 1

odmAs

When the operator ‘of’ is given in a question, follow the rules of ODMAS to find the result.

O D M A S
Remember
‘Of’ The operator ‘of’ means
Division multiplication. For

Multiplication example, 1
1
2
Addition 2 of 8 = × 8 = 4
Subtraction

48 Mathematics-5