Estimate each of the following products by rounding off each number to the nearest hundred :

(i) 265 × 334

(ii) 457 × 872

(iii) 381 × 316

(iv) 455 × 138

(i) 265 × 334

Round 265 to the nearest hundred: The tens digit is 6, so it rounds up to 300.

Round 334 to the nearest hundred: The tens digit is 3, so it rounds down to 300.

Approximate product: 300 × 300 = 90,000

Hence, the approximate product = 90,000.

(ii) 457 × 872

Round 457 to the nearest hundred: The tens digit is 5, so it rounds up to 500.

Round 872 to the nearest hundred: The tens digit is 7, so it rounds up to 900.

Approximate product: 500 × 900 = 4,50,000

Hence, the approximate product = 4,50,000.

(iii) 381 × 316

Round 381 to the nearest hundred: The tens digit is 8, so it rounds up to 400.

Round 316 to the nearest hundred: The tens digit is 1, so it rounds down to 300.

Approximate product: 400 × 300 = 1,20,000

Hence, the approximate product = 1,20,000.

(iv) 455 × 138

Round 455 to the nearest hundred: The tens digit is 5, so it rounds up to 500.

Round 138 to the nearest hundred: The tens digit is 3, so it rounds down to 100.

Approximate product: 500 × 100 = 50,000

Hence, the approximate product = 50,000.