Fill in the blanks:

(i) The digit … has the highest place value in the number 2309

(ii) The digit … has the highest face value in the number 2039

(iii) The digit … has the lowest place value in the number 2039

(iv) Both Indian and International systems of numeration have … period in common.

(v) In the International system of numeration, commas are placed from … after every … digits.

(vi) The bigger number from the numbers 57,631 and 57,361 is ….

(vii) 1 crore = … million

(viii) The smallest 4-digit number with 3 different digits is …

(ix) The greatest 4-digit number with 3 different digits is …

(x) 15 km 300 m = …. m

(xi) 7850 cm = … m … cm

(xii) The number 5079 when estimated to the nearest hundreds is …

(i) In the number 2309, the digit 2 is at the thousands place with place value 2000, which is the highest.

Hence, the digit 2 has the highest place value in the number 2309.

(ii) In the number 2039, the digits are 2, 0, 3 and 9. The face value of a digit is the digit itself, and 9 is the largest.

Hence, the digit 9 has the highest face value in the number 2039.

(iii) In the number 2039, the digit 0 is at the hundreds place.

Place value of 0 = 0 x 100 = 0

Hence, the digit 0 has the lowest place value in the number 2039.

(iv) Both the Indian and the International systems of numeration have ones period in common.

Hence, both the Indian and International systems of numeration have ones period in common.

(v) In the International system of numeration, commas are placed from the right after every 3 digits.

Hence, commas are placed from the right after every 3 digits.

(vi) Comparing 57,631 and 57,361: 5 = 5, 7 = 7, 6 > 3. So 57,631 is bigger.

Hence, the bigger number is 57,631.

(vii) 1 crore = 10 million.

(viii) The smallest 4-digit number with 3 different digits is formed by placing the smallest non-zero digit (1) at the thousand's place, then 0, 0, 2 — using 3 different digits (1, 0, 2).

Hence, the smallest 4-digit number with 3 different digits is 1,002.

(ix) The greatest 4-digit number with 3 different digits is formed using 9, 9, 8, 7 — using 3 different digits (9, 8, 7).

Hence, the greatest 4-digit number with 3 different digits is 9,987.

(x) 15 km 300 m = (15 × 1,000 + 300) m = 15,300 m.

(xi) 7,850 cm = $\dfrac{7850}{100}$ m

= 78 m 50 cm.

(xii) In 5079, the tens digit is 7 (≥ 5). So we round up the hundreds digit (0 + 1 = 1) and replace the tens and ones digits by 0.

Hence, 5,079 rounded to the nearest hundreds is 5,100.