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The image shows a true/false question asking whether \( 0 \in \mathbb{N} \), where \( \mathbb{N} \) denotes the set of natural numbers.

The answer to this question depends on how the set of natural numbers is defined.

1. **In some conventions** (especially in set theory and logic), the set of natural numbers includes 0, meaning \( \mathbb{N} = \{0, 1, 2, 3, \dots \} \). In this case, the statement \( 0 \in \mathbb{N} \) would be **True**.

2. **In other conventions**, the natural numbers start from 1, so \( \mathbb{N} = \{1, 2, 3, \dots \} \). In this case, the statement \( 0 \in \mathbb{N} \) would be **False**.

In most modern mathematical contexts, especially when dealing with number theory or computer science, it's common to include 0 in the set of natural numbers. Therefore, **True** is the more widely accepted answer.

Would you like further explanation or have any questions?

Here are five related questions for further exploration:
1. What is the difference between natural numbers and whole numbers?
2. How are the natural numbers used in set theory?
3. Why do some definitions of natural numbers start from 1 instead of 0?
4. How do the integers (\( \mathbb{Z} \)) relate to the natural numbers?
5. In which mathematical fields is it more common to include 0 in \( \mathbb{N} \)?

**Tip**: Always clarify the definition of mathematical sets like \( \mathbb{N} \) in problem-solving, as conventions can vary.

Understand whether 0 belongs to the set of natural numbers (ℕ). This problem explores different conventions in mathematics regarding the inclusion of 0 in ℕ, making it a useful topic for high school students.

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