Indicate whether the deductive reasoning used is an example of affirming the hypothesis or denying the conclusion.

If a number is divisible by 3, then the sum of the digits of that number is divisible by 3.
The sum of the digits of a number is not divisible by 3. Therefore the number is not divisible by 3.

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To determine whether the deductive reasoning used is an example of affirming the hypothesis or denying the conclusion, we need to understand the logical structure of the argument.

The deductive reasoning in this example is denying the conclusion. Here's how you can identify it:

1. The initial premise is: "If a number is divisible by 3, then the sum of the digits of that number is divisible by 3." This is the hypothesis or the conditional statement.

2. The next statement is: "The sum of the digits of a number is not divisible by 3." This is the given information or evidence.

3. The conclusion drawn from the given information is: "Therefore, the number is not divisible by 3."

By denying the conclusion, the deductive reasoning concludes that the number is not divisible by 3 based on the given information or evidence that the sum of the digits is not divisible by 3.