Certainly! Let's break down the problem step-by-step starting from the phrasing of the conditional statement.
We are given various statements and need to identify the conclusion of a specific conditional statement. Let’s analyze each statement provided:
1. A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
2. The number is odd.
3. If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
4. The number is divisible by 3.
5. The sum of the digits of the number is divisible by 3.
The correct identification of the conditional and its components is:
- If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
Here, the conditional statement is:
- If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
Now, let's break down this conditional statement into its two parts:
1. The hypothesis (if part): "The sum of the digits of a number is divisible by 3."
2. The conclusion (then part): "The number is divisible by 3."
So, the conclusion that follows from the given conditional statement is:
- The number is divisible by 3.
