Math Problem Statement

Mod 9 for 209106

Solution

To find 209106mod9209106 \mod 9, you can sum the digits of the number and then find the remainder when this sum is divided by 9.

  1. Sum the digits of 209106209106: 2+0+9+1+0+6=182 + 0 + 9 + 1 + 0 + 6 = 18

  2. Find the modulus: 18mod9=018 \mod 9 = 0

So, 209106mod9=0209106 \mod 9 = 0.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How can modular arithmetic be used to solve problems in computer science?
  2. What does it mean if a number modulo 9 is 0?
  3. Can modular arithmetic be used with other bases besides 9?
  4. How does modular arithmetic relate to clock arithmetic?
  5. What is the Chinese Remainder Theorem and how does it use modular arithmetic?

Tip: The method of summing digits to find the modulus 9 is a quick way to check for divisibility by 9. If the sum of the digits is a multiple of 9, so is the original number.

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Math Problem Analysis

Mathematical Concepts

Modular Arithmetic

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12