#2.2 Inductive and Deductive Reasoning

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or observations.

Front

What is deductive reasoning?

Back

Deductive reasoning is a method of reasoning from the general to the specific, where a conclusion is logically derived from premises.

Front

What is a conjecture?

Back

A conjecture is an unproven statement based on observations or patterns.

Front

What is the difference between inductive and deductive reasoning?

Back

Inductive reasoning involves making generalizations based on specific instances, while deductive reasoning involves applying general principles to reach specific conclusions.

Front

Provide an example of inductive reasoning.

Back

If you observe that the sun rises in the east every day, you might conclude that the sun always rises in the east.

Front

Provide an example of deductive reasoning.

Back

All humans are mortal. Socrates is a human. Therefore, Socrates is mortal.

Front

What is a pattern in mathematics?

Back

A pattern is a repeated or recurring sequence of numbers, shapes, or other elements.

Front

How do you find the next number in a numerical pattern?

Back

Identify the rule or relationship between the numbers in the pattern and apply it to find the next number.

Front

What is a sequence?

Back

A sequence is an ordered list of numbers that follow a specific rule or pattern.

Front

What is a mathematical conjecture about the product of two negative numbers?

Back

The product of two negative numbers is always positive.