Math Problem Statement

Mod 9 for 271875

Solution

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=302 + 7 + 1 + 8 + 7 + 5 = 30

  2. Sum the digits of the result if necessary:
    3+0=33 + 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, 271875mod9=3271875 \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.

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Math Problem Analysis

Mathematical Concepts

Modular Arithmetic
Divisibility Rules

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8