Math Problem Statement

558 mod 11

Solution

To calculate 558mod11558 \mod 11, we divide 558 by 11 and find the remainder.

  1. Divide 558 by 11: 558÷11=50.7272(integer part is 50)558 \div 11 = 50.7272 \quad \text{(integer part is 50)}

  2. Multiply the integer part by 11: 50×11=55050 \times 11 = 550

  3. Subtract this from 558: 558550=8558 - 550 = 8

Thus, 558mod11=8558 \mod 11 = 8.

Would you like more details or do you have any questions? Here are some related questions to consider:

  1. How do you calculate modular arithmetic with larger numbers?
  2. What is the significance of the modulus operation in computer science?
  3. Can you give an example of using mod in a practical application?
  4. What are the properties of modulus operations?
  5. How would you compute 558mod13558 \mod 13?

Tip: Modular arithmetic is often used in cryptography and hashing functions.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Modular Arithmetic

Formulas

Remainder theorem: a mod b = a - (b * floor(a / b))

Theorems

-

Suitable Grade Level

Grades 6-8