If a number is a multiple of both 3 and 5, what is the smallest number greater t

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Question: If a number is a multiple of both 3 and 5, what is the smallest number greater than 10?

Options:

Correct Answer: 15

Solution:

The smallest multiple of both 3 and 5 greater than 10 is 15.

If a number is a multiple of both 3 and 5, what is the smallest number greater than 10?

If a number is a multiple of both 3 and 5, what is the smallest number greater than 10?

Step 1: Understand what a multiple is. A multiple of a number is the result of multiplying that number by an integer.
Step 2: Identify the numbers we are interested in. We need multiples of both 3 and 5.
Step 3: Find the least common multiple (LCM) of 3 and 5. The LCM of 3 and 5 is 15 because 15 is the smallest number that both 3 and 5 can divide without leaving a remainder.
Step 4: List the multiples of 15: 15, 30, 45, ...
Step 5: Since we need a multiple greater than 10, we look at our list and see that 15 is the first multiple of 15 that is greater than 10.
Step 6: Conclude that the smallest number greater than 10 that is a multiple of both 3 and 5 is 15.

Multiples – Understanding multiples of numbers, specifically how to find the least common multiple (LCM) of 3 and 5.
Inequalities – Applying the condition of being greater than a specific number (in this case, 10) when identifying multiples.