Identify Inductive and Deductive Reasoning

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What is Inductive Reasoning?

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Inductive reasoning is a type of logical thinking that involves forming generalizations based on specific observations or examples. It moves from specific instances to broader generalizations.

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What is Deductive Reasoning?

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Deductive reasoning is a logical process where a conclusion is reached by applying general principles to specific cases. It moves from general statements to specific conclusions.

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Example of Inductive Reasoning: If you see that the sun rises in the east every day, what can you conclude?

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You can conclude that the sun will rise in the east tomorrow.

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Example of Deductive Reasoning: All humans are mortal. Socrates is a human. What can be concluded?

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Socrates is mortal.

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What is a pattern in mathematics?

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A pattern is a repeated or predictable sequence of numbers or shapes that follows a specific rule.

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Identify the rule: 729, 243, 81, 27, 9

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Divide by 3.

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Identify the reasoning: You see the numbers 2, 4, .... and decide the next number must be a 6.

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Inductive reasoning.

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Identify the rule: 3, 9, 15, 21, 27

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Add 6.

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Identify the reasoning: All dogs are mammals. All mammals have kidneys. Fido is a dog. What can be deduced about Fido?

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Fido has kidneys.

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Identify the rule: 8, 16, 32, 64

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Multiply by 2.