Math Problem Statement

18 mod 5

Solution

To calculate 18mod518 \mod 5:

  1. Divide 18 by 5: 18÷5=3 (quotient)18 \div 5 = 3 \text{ (quotient)}

  2. Multiply the quotient by the divisor: 3×5=153 \times 5 = 15

  3. Subtract this result from 18: 1815=318 - 15 = 3

Thus, 18mod5=318 \mod 5 = 3.

Would you like more details on modular arithmetic?

Here are 5 related questions:

  1. What is 27mod427 \mod 4?
  2. How does modular arithmetic apply to clock time calculations?
  3. Can you explain the relationship between division and the modulus operation?
  4. What is the result of 45mod645 \mod 6?
  5. How can modular arithmetic be used in cryptography?

Tip: In modular arithmetic, the result is always a non-negative integer less than the divisor.

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Math Problem Analysis

Mathematical Concepts

Modular Arithmetic
Division
Remainder

Formulas

a mod n = a - (floor(a / n) * n)

Theorems

Division Algorithm

Suitable Grade Level

Grades 6-8