Math Problem Statement
[2171 + 48] mod 5
Solution
We need to compute .
First, let's add and :
Now, we compute . This is done by dividing by and finding the remainder.
So, .
Thus, .
Would you like further explanation or any additional details?
Here are 5 related questions you might find helpful:
- How is modular arithmetic used in computer science?
- How can we simplify modular arithmetic problems?
- What is the general form of a modular equation?
- How would the result change if we used instead of ?
- What is the significance of prime numbers in modular arithmetic?
Tip: In modular arithmetic, you can simplify large numbers before calculating by reducing each term mod first!
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Math Problem Analysis
Mathematical Concepts
Modular Arithmetic
Addition
Formulas
(a + b) mod n = [(a mod n) + (b mod n)] mod n
Theorems
Modular Arithmetic Properties
Suitable Grade Level
Grades 8-10
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