Write the following numbers by separting periods using commas according to the indian numeral system:
(i) `8435`            
(ii) `76502`          

Options

A. (i) `84,35`            
(ii) `76,502`
B. (i) `8,435`            
(ii) `76,502`
C. (i) `8,43,5`            
(ii) `7,65,02`
D. (i) `8,435`            
(ii) `765,02`

Answer

To write the given numbers by separating periods using commas according to the Indian numeral system, we will follow these steps:

### Step-by-Step Solution:

**(i) For the number `8435`:**

1. **Identify the digits**: The number is 8435, which consists of the digits 8, 4, 3, and 5.
2. **Determine the place values**:
- 5 is in the 1s place.
- 3 is in the 10s place.
- 4 is in the 100s place.
- 8 is in the 1000s place.
3. **Group the digits**: In the Indian numeral system, we group the digits from the right side. The first group consists of the last three digits (1s, 10s, 100s), and the preceding digits form the next group.
4. **Insert the comma**: Place a comma after the 1000s place. Thus, we write it as 8,435.
5. **Final answer**: The number `8435` in the Indian numeral system is written as **8,435**.

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**(ii) For the number `76502`:**

1. **Identify the digits**: The number is 76502, which consists of the digits 7, 6, 5, 0, and 2.
2. **Determine the place values**:
- 2 is in the 1s place.
- 0 is in the 10s place.
- 5 is in the 100s place.
- 6 is in the 1000s place.
- 7 is in the 10,000s place.
3. **Group the digits**: Again, we group the digits from the right side. The last three digits (1s, 10s, 100s) form one group, and the preceding digits form another group.
4. **Insert the comma**: Place a comma after the 1000s place. Thus, we write it as 76,502.
5. **Final answer**: The number `76502` in the Indian numeral system is written as **76,502**.

### Summary of Answers:
- (i) 8435 → **8,435**
- (ii) 76502 → **76,502**

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