Inductive vs. Deductive Reasoning Explained

What pattern did the narrator observe when multiplying two odd numbers?

• The result is always zero.

• The result is always negative.

• The result is always odd.

• The result is always even.

What is the process of reasoning to a general conclusion by observing specific examples called?

• Empirical reasoning

• Deductive reasoning

• Hypothesis testing

• Inductive reasoning

Why can't inductive reasoning alone prove a hypothesis?

• It is always incorrect.

• It requires mathematical formulas.

• It uses general statements.

• It relies on specific examples.

What is the process of reasoning to a specific conclusion from a general statement called?

• Empirical reasoning

• Hypothesis testing

• Deductive reasoning

• Inductive reasoning

In the example, what was the final result when starting with the number 10?

• 30

• 5

• 14

• 10

What hypothesis might you form after repeatedly getting the same result with different starting numbers?

• The process always results in the number 10.

• The process always results in the number 2.

• The process always results in the number 30.

• The process always results in the number 5.

What is the first step in proving a hypothesis using deductive reasoning?

• Start with a specific number.

• Start with a general number.

• Find a counter example.

• Use empirical data.

What is the result when you add 4 to a general number n?

• 2n + 4

• n + 4

• n - 4

• n + 2

What do you get when you divide 2n + 10 by 2?

• 2n + 10

• n + 10

• 2n + 5

• n + 5

What is the final result of the process regardless of the starting number n?

• n + 5

• 5

• 10

• n