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If a number is expressed as 5k + 3, where k is an integer, what is the remainder
If a number is expressed as 5k + 3, where k is an integer, what is the remainder when this number is divided by 5?
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If a number is expressed as 5k + 3, where k is an integer, what is the remainder when this number is divided by 5?
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The remainder is 3, as 5k is divisible by 5.
Questions & Step-by-step Solutions
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Q: If a number is expressed as 5k + 3, where k is an integer, what is the remainder when this number is divided by 5?
Solution:
The remainder is 3, as 5k is divisible by 5.
Steps: 6
Show Steps
Step 1: Understand the expression 5k + 3. Here, 'k' is any whole number (integer).
Step 2: Recognize that 5k means 5 times some integer 'k'. This part (5k) is always divisible by 5.
Step 3: When we divide 5k by 5, the result is an integer with no remainder.
Step 4: Now, look at the '+ 3' part of the expression. This means we are adding 3 to the result of 5k.
Step 5: When we divide the entire expression (5k + 3) by 5, the 5k part gives us no remainder, and we only need to consider the '+ 3'.
Step 6: The remainder when 3 is divided by 5 is simply 3, because 3 is less than 5.
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