Math Problem Statement
[(61 mod 6) + (33 mod 6)] mod 6
Solution
Let's break down the expression step by step:
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First, evaluate the two mod operations separately:
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Add the results:
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Finally, take the result mod 6:
So, the result of is 4.
Would you like further clarification or details?
Here are some related questions to consider:
- What does the modulo operation represent mathematically?
- How do different moduli affect the results of a modular expression?
- What are the properties of modular arithmetic in relation to addition and multiplication?
- How can modular arithmetic be applied in cryptography?
- How can you compute mod for very large numbers efficiently?
Tip: Modular arithmetic often comes in handy for solving problems in number theory, cryptography, and computer science!
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Math Problem Analysis
Mathematical Concepts
Modular Arithmetic
Basic Operations
Number Theory
Formulas
a mod b = a - (b * ⌊a / b⌋)
(a mod b + c mod b) mod b
Theorems
Modular Arithmetic Theorem
Suitable Grade Level
Grades 8-10