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ercise 1 llustrate the real number system using a tree diagram.

Ask by Barker Carlson. in South Africa
Jan 24,2025

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Here's a simplified tree diagram of the real number system: ``` Real Numbers (ℝ) ├── Rational Numbers (ℚ) │ ├── Integers (ℤ) │ │ ├── Natural Numbers (ℕ): 1, 2, 3, … │ │ └── Negative Integers: -1, -2, -3, … │ └── Non-Integer Rationals │ ├── Proper Fractions: 1/2, 3/4, etc. │ └── Improper Fractions: 5/3, 7/4, etc. └── Irrational Numbers ├── Algebraic Irrationals │ ├── √2, √3, etc. │ └── ∛5, etc. └── Transcendental Numbers ├── π └── e ``` This diagram shows the main categories and their subcategories within the real numbers.

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Imagine a lovely tree in a tranquil garden, its branches sprawling wide! At the trunk, we have the Real Numbers (ℝ), the grand category. This trunk splits into two sturdy branches: the Rational Numbers (ℚ) and the Irrational Numbers. The Rational branch further divides into integers (ℤ), indicating whole numbers both positive and negative, and fractions, which can be positive or negative as well. Meanwhile, the Irrational branch, often home to the enigmatic roots like π (pi) and √2, flourishes with non-repeating, non-terminating decimals that bring a sprinkle of mystery to our number garden! 🌳✨

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