Math Problem Statement

Mod 9 for 238453

Solution

To calculate 238453mod9238453 \mod 9, you sum the digits of the number until you reach a single-digit result. Here's the process:

  1. Sum the digits of 238453:
    2+3+8+4+5+3=252 + 3 + 8 + 4 + 5 + 3 = 25

  2. Since 25 is not a single-digit number, sum the digits of 25:
    2+5=72 + 5 = 7

So, 238453mod9=7238453 \mod 9 = 7.

Would you like more details or have any questions?

Here are 5 related questions for practice:

  1. What is 238454mod9238454 \mod 9?
  2. How do you calculate 123456mod9123456 \mod 9?
  3. Can you find 987654mod9987654 \mod 9?
  4. What is the remainder when dividing 238453 by 7?
  5. How is modular arithmetic used in cryptography?

Tip: Mod 9 is often used to check the validity of numbers, like credit card numbers, through a process called "casting out nines."

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Math Problem Analysis

Mathematical Concepts

Modular Arithmetic
Number Theory

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12