Question

Performance task 3 direction: create your five sentences for deductive reasoning and five sentence for inductive reasoning. (5 points each) deductive reasoning 1. 2. 3. 4. 5. inductive reasoning 1. 2. 3. 4. 5.

Answer 1

Deductive reasoning:

1. All mammals are warm-blooded animals.
2. Whales are mammals.
3. Therefore, whales are warm-blooded animals.
4. All squares have four equal sides.
5. This shape has four equal sides, so it must be a square.

Inductive reasoning:

1. Every time I eat peanuts, I get a rash.
2. Most birds I have seen can fly.
3. The sun has risen every morning so far.
4. Every time I water this plant, it grows taller.
5. Most metals expand when heated.

Step-by-step explanation:

In deductive reasoning, the conclusion is reached by logical reasoning based on general principles or premises. For example, in the statement “All mammals are warm-blooded animals” (premise 1) and “Whales are mammals” (premise 2), the conclusion “Therefore, whales are warm-blooded animals” logically follows from the given premises.

On the other hand, in inductive reasoning, the conclusion is reached based on specific observations or patterns. For instance, the statement “Every time I eat peanuts, I get a rash” is an observation that leads to the generalization that eating peanuts causes a rash. Similarly, the observation that “Most birds I have seen can fly” leads to the generalization that most birds can fly.

Both deductive and inductive reasoning play crucial roles in scientific inquiry and problem-solving, with deductive reasoning used to test hypotheses and inductive reasoning used to form hypotheses based on observations.