Question

Use deductive reasoning to select the appropriate conclusion. If the sum of the digits of an integer is divisible by 3, then the number is divisible by 3. The sum of the digits of 18,525 is 21, which is divisible by 3.

Answer 1

Deductive reasoning states that if the sum of the digits of an integer is divisible by 3, then the number itself is divisible by 3. The sum of the digits of 18,525 is 21, which is divisible by 3, so 18,525 is divisible by 3.

Step-by-step explanation:

Deductive reasoning is a logical process of reasoning where a conclusion is drawn from a set of premises or statements. In this case, the premises state that if the sum of the digits of an integer is divisible by 3, then the number is divisible by 3. The conclusion is that if the sum of the digits of a given number is divisible by 3, then the number itself is divisible by 3.

For example, the sum of the digits of 18,525 is 1 + 8 + 5 + 2 + 5 = 21, which is divisible by 3. Therefore, we can conclude that the number 18,525 is divisible by 3.