Find the approximate difference to the nearest thousand :

(i) (45,783 - 38,695)

(ii) (38,005 - 29,375)

(iii) (7,654 - 4,368)

(i) (45,783 - 38,695)

Round 45,783 to the nearest thousand: The hundreds digit is 7, so it rounds up to 46,000.

Round 38,695 to the nearest thousand: The hundreds digit is 6, so it rounds up to 39,000.

Approximate difference: 46,000 − 39,000 = 7,000

Hence, the approximate difference = 7,000.

(ii) (38,005 - 29,375)

Round 38,005 to the nearest thousand: The hundreds digit is 0, so it rounds down to 38,000.

Round 29,375 to the nearest thousand: The hundreds digit is 3, so it rounds down to 29,000.

Approximate difference: 38,000 − 29,000 = 9,000

Hence, the approximate difference = 9,000.

(iii) (7,654 - 4,368)

Round 7,654 to the nearest thousand: The hundreds digit is 6, so it rounds up to 8,000.

Round 4,368 to the nearest thousand: The hundreds digit is 3, so it rounds down to 4,000.

Approximate difference: 8,000 − 4,000 = 4,000

Hence, the approximate difference = 4,000.