State whether the following statements are true (T) or false (F):

(i) The difference between the place value and the face of the digit 7 in the number 2701 is 693.

(ii) The smallest 4-digit number -1 = the greatest 3-digit number.

(iii) The place of a digit is independent of whether the number is written in the Indian system or International system of numeration.

(iv) In the International system, a number having less number of digits is always smaller than the number having more number of digits.

(v) The estimated value of 9999 to the nearest tens is 10000

(i) In 2701, the digit 7 is at the hundreds place.

Place value of 7 = 7 × 100 = 700.

Face value of 7 = 7.

Difference = 700 - 7 = 693.

Hence, the statement is True.

(ii) The smallest 4-digit number = 1,000.

The greatest 3-digit number = 999.

1,000 - 1 = 999.

Hence, the statement is True.

(iii) The position (place) of a digit in a number is the same in both the Indian and International systems; only the names of higher places differ between the two systems.

Hence, the statement is True.

(iv) When comparing two natural numbers, the number having more digits is always greater. Equivalently, the number having less digits is always smaller. This holds in both the Indian and International systems.

Hence, the statement is True.

(v) In 9999, the ones digit is 9 (≥ 5). So we increase the tens digit by 1 and replace the ones digit by 0. As the tens digit is 9, the increase carries over, eventually giving 10,000.

Hence, the statement is True.