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In modular arithmetic, what is 7 mod 3?

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Question: In modular arithmetic, what is 7 mod 3?

Options:

  1. 0
  2. 1
  3. 2
  4. 3

Correct Answer: 1

Solution:

7 divided by 3 gives a remainder of 1.

In modular arithmetic, what is 7 mod 3?

Practice Questions

Q1
In modular arithmetic, what is 7 mod 3?
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  2. 1
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Questions & Step-by-Step Solutions

In modular arithmetic, what is 7 mod 3?
  • Step 1: Understand what 'mod' means. 'Mod' refers to the remainder after division.
  • Step 2: Divide 7 by 3. When you do this, you get 2 as the whole number part (because 3 goes into 7 two times).
  • Step 3: Multiply the whole number part (2) by the divisor (3). This gives you 6.
  • Step 4: Subtract this result (6) from the original number (7). So, 7 - 6 = 1.
  • Step 5: The remainder is 1, which means 7 mod 3 equals 1.
  • Modular Arithmetic – Modular arithmetic involves finding the remainder when one number is divided by another.
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