The question in the image asks which set(s) the number 0 belongs to, with options provided. Let's analyze each set:

• Natural numbers: These typically start from 1 and include positive integers, though some definitions include 0. In most cases, natural numbers do not include 0. Therefore, this is usually incorrect.
• Whole numbers: Whole numbers include all non-negative integers, i.e., 0, 1, 2, 3, etc. So, 0 belongs to the set of whole numbers.
• Integers: Integers include all whole numbers and their negatives (i.e., ..., -2, -1, 0, 1, 2, ...). Therefore, 0 belongs to the set of integers.
• Rational numbers: Rational numbers are numbers that can be expressed as a ratio of two integers (where the denominator is not zero). 0 can be expressed as $\frac{0}{1}$, so it belongs to the set of rational numbers.
• Irrational numbers: Irrational numbers cannot be expressed as a ratio of two integers. Since 0 is a rational number, it does not belong to this set.
• Real numbers: Real numbers include both rational and irrational numbers. Therefore, 0 belongs to the set of real numbers.

Correct answers:

• C. Whole numbers
• D. Rational numbers
• E. Real numbers
• F. Integers

Let me know if you want further details or clarifications.

Here are 5 questions related to this concept:

1. What is the difference between rational and irrational numbers?
2. Are all whole numbers also integers?
3. Can the number 0 be considered a natural number in any context?
4. What are some examples of irrational numbers?
5. How do real numbers encompass both rational and irrational numbers?

Tip: Rational numbers can always be written as fractions, even if their denominator is 1!