Question: In a modular arithmetic system, if 9 is congruent to y modulo 4, what is the value of y?
Options:
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Correct Answer: 1
Solution:
9 mod 4 = 1, so y = 1.
In a modular arithmetic system, if 9 is congruent to y modulo 4, what is the val
Practice Questions
Q1
In a modular arithmetic system, if 9 is congruent to y modulo 4, what is the value of y?
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2
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Questions & Step-by-Step Solutions
In a modular arithmetic system, if 9 is congruent to y modulo 4, what is the value of y?
Step 1: Understand what 'congruent' means in modular arithmetic. It means two numbers have the same remainder when divided by a certain number (in this case, 4).
Step 2: Calculate 9 mod 4. This means we need to divide 9 by 4 and find the remainder.
Step 3: Divide 9 by 4. The result is 2 with a remainder of 1 (because 4 goes into 9 two times, which is 8, and 9 - 8 = 1).
Step 4: The remainder we found is 1. This means 9 is congruent to 1 modulo 4.
Step 5: Therefore, y is equal to the remainder, which is 1.
Modular Arithmetic – Understanding how numbers behave under a modulus, specifically how to find the remainder when dividing by a given number.
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