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example 1. Simplify: 15 × 8 ÷ 2 + 9 – 2

Solution. We have: 15 × 8 ÷ 2 + 9 – 2

Steps operation expression/result

1. 8 ÷ 2 = 4 [Division] 15 × 4 + 9 – 2

2. 15 × 4 = 60 [Multiplication] 60 + 9 – 2

3. 60 + 9 = 69 [Addition] 69 – 2

4. 69 – 2 = 67 [Subtraction] 67
Hence, 15 × 8 ÷ 2 + 9 – 2 = 67.

example 2. Simplify: 39 – 16 + 18 × 9 ÷ 3

Solution. We have: 39 – 16 + 18 × 9 ÷ 3

Steps operation expression/result

1. 9 ÷ 3 = 3 [Division] 39 – 16 + 18 × 3

2. 18 × 3 = 54 [Multiplication] 39 – 16 + 54 or 39 + 54 – 16

3. 39 + 54 = 93 [Addition] 93 – 16

4. 93 – 16 = 77 [Subtraction] 77

Hence, 39 – 16 + 18 × 9 ÷ 3 = 77.

Exercise 2F

Simplify:

1. 18 + 20 ÷ 4 2. 15 × 10 ÷ 2

3. 32 – 8 × 2 4. 35 × 48 + 2024

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

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

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

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

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Mathematical Operations