Extend: Algebra Lab, Inductive and Deductive Reasoning
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Review the definition of inductive and deductive reasoning.
See solution.
Let's think of an example of each. We will begin with deductive reasoning, and then we can think of an example of inductive reasoning.
With deductive reasoning, we want to begin with a general rule of fact. It is a fact that all numbers ending with 0 of 5 are divisible by 5. Let's take a specific case, which will be the number 45. As we can see, it ends with 5. Thus, we conclude that 45 is divisible by 5. We started with a general rule that is true, and then we made a conclusion about a specific case.
With inductive reasoning, we want to begin with specific cases. Let's say that there is a group of 5 people, and each of them has a dog. After spending some time with the dogs, we notice that each of them barks. Thus, we make a conclusion that all dogs bark. It is a general rule which we came up with after observing specific cases.