Compare the following numbers: (i) 9,87,56,432 and 9,76,57,432 (ii) 1,00,00,001 and 99,99,999

The numbers are 9,87,56,432 and 9,76,57,432.
Both numbers have 8 digits. We compare them digit by digit from left to right.

• The digit in the crores place is 9 for both numbers.
• The digit in the ten lakhs place is 8 for the first number and 7 for the second number. Since $8 > 7$, the first number is greater.

$$9,87,56,432 > 9,76,57,432$$

The numbers are 1,00,00,001 and 99,99,999.

• The first number, 1,00,00,001, has 8 digits.
• The second number, 99,99,999, has 7 digits. A number with more digits is greater than a number with fewer digits (for positive integers). Therefore, 1,00,00,001 is greater than 99,99,999.

$$1,00,00,001 > 99,99,999$$

The comparisons are:

(i) $\boxed{\text{9,87,56,432 > 9,76,57,432}}$

(ii) $\boxed{\text{1,00,00,001 > 99,99,999}}$