Question: In a modular arithmetic system, if 7 is congruent to x modulo 5, what is the value of x?
Options:
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Correct Answer: 2
Solution:
To find x, we calculate 7 mod 5, which is 2. Therefore, x = 2.
In a modular arithmetic system, if 7 is congruent to x modulo 5, what is the val
Practice Questions
Q1
In a modular arithmetic system, if 7 is congruent to x modulo 5, what is the value of x?
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Questions & Step-by-Step Solutions
In a modular arithmetic system, if 7 is congruent to x modulo 5, what is the value of x?
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, 5).
Step 2: Identify the number we are working with, which is 7.
Step 3: Calculate the remainder when 7 is divided by 5. This is done by performing the division: 7 ÷ 5 = 1 with a remainder of 2.
Step 4: Write down the remainder. The remainder is 2.
Step 5: Since 7 is congruent to x modulo 5, we can say that x is equal to the remainder we found, which is 2.
Modular Arithmetic – The concept of finding the remainder when one number is divided by another.
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