To find the modulus of 271875 with respect to 9, we can follow these steps:

1. **Sum the digits of the number**:  
   \( 2 + 7 + 1 + 8 + 7 + 5 = 30 \)

2. **Sum the digits of the result if necessary**:  
   \( 3 + 0 = 3 \)

3. **Find the modulus**:  
   Since the sum of the digits is 3, the remainder when 271875 is divided by 9 is **3**.

Thus, \( 271875 \mod 9 = 3 \).

Would you like any further details or have any questions?

Here are some related questions you might be interested in:
1. How do you compute modulus for large numbers?
2. What are some properties of modular arithmetic?
3. How does mod 9 relate to divisibility rules?
4. How can modular arithmetic be applied in real-world scenarios?
5. What are efficient ways to compute modulus without a calculator?

**Tip:** The divisibility rule for 9 states that if the sum of a number's digits is divisible by 9, then the number itself is divisible by 9.

Learn how to calculate the modulus of 271875 modulo 9 using digit sum method. This problem covers modular arithmetic and divisibility rules, specifically focusing on the sum of digits method for modulus calculation. Suitable for students in Grades 6-8.

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