Find the following products by using suitable properties:

(i) 739 × 102

(ii) 1938 × 99

(iii) 1005 × 188

(i) 739 × 102

⇒ 739 × (100 + 2)

Using the Distributive Law of Multiplication over Addition:

⇒ 739 × 100 + 739 × 2

⇒ 73900 + 1478

⇒ 75378.

Hence, 739 × 102 = 75378.

(ii) 1938 × 99

⇒ 1938 × (100 - 1)

Using the Distributive Law of Multiplication over Subtraction:

⇒ 1938 × 100 - 1938 × 1

⇒ 193800 - 1938

⇒ 191862.

Hence, 1938 × 99 = 191862.

(iii) 1005 × 188

⇒ (1000 + 5) × 188

Using the Distributive Law of Multiplication over Addition:

⇒ 1000 × 188 + 5 × 188

⇒ 188000 + 940

⇒ 188940.

Hence, 1005 × 188 = 188940.