The problem is to reduce −2 modulo 3. Step 1: Understand modular arithmetic. Reducing a number modulo n means finding the remainder when that number is divided by n. The result should be an integer between 0 and n−1 (inclusive). Step 2: Add multiples of the modulus (3) to the given number (−2) until it becomes non-negative. −2 + 3 = 1; Step 3: Check if the result is within the desired range [0, n−1]. In this case, n=3, so the range is [0, 2]. The result, 1, is within this range. The reduced value of −2 (mod 3) is 1. Answer: 1

Reduce -2(mod 3)

September 24, 2026Mathematics

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Step-by-step solution

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The problem is to reduce -2 modulo 3.

Understand modular arithmetic.
Reducing a number modulo n means finding the remainder when that number is divided by n. The result should be an integer between 0 and n-1 (inclusive).
Add multiples of the modulus (3) to the given number (-2) until it becomes non-negative.
-2 + 3 = 1
Check if the result is within the desired range [0, n-1].
In this case, n=3, so the range is [0, 2]. The result, 1, is within this range.

The reduced value of -2 (mod 3) is 1.

Answer: 1

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Reduce -2(mod 3)

Step-by-step solution

Understand modular arithmetic.

Add multiples of the modulus (3) to the given number (-2) until it becomes non-negative.

Check if the result is within the desired range [0, n-1].

Still stuck on this one?

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