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In modular arithmetic, which of the following is true for any integer k?
In modular arithmetic, which of the following is true for any integer k?
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Practice Questions
1 question
Q1
In modular arithmetic, which of the following is true for any integer k?
k mod 1 = 0
k mod k = 1
k mod 0 is undefined
k mod k = 0
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For any integer k, k mod k = 0, as k is divisible by itself.
Questions & Step-by-step Solutions
1 item
Q
Q: In modular arithmetic, which of the following is true for any integer k?
Solution:
For any integer k, k mod k = 0, as k is divisible by itself.
Steps: 4
Show Steps
Step 1: Understand what 'mod' means. 'k mod k' means we are finding the remainder when k is divided by k.
Step 2: Remember that any number divided by itself equals 1, with no remainder. For example, 5 divided by 5 equals 1.
Step 3: Since there is no remainder when k is divided by k, we can say that the remainder is 0.
Step 4: Therefore, for any integer k, the result of k mod k is always 0.
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