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Let's go through the questions one by one to analyze the closure property:

### a. The set of whole numbers is closed under subtraction.
- **False**. The set of whole numbers is not closed under subtraction because subtracting two whole numbers can result in a negative number, which is not a whole number. For example, \(3 - 5 = -2\), and \(-2\) is not a whole number.

### b. The set of whole numbers is closed under multiplication.
- **True**. The set of whole numbers is closed under multiplication because multiplying any two whole numbers always results in a whole number. For example, \(3 \times 4 = 12\), which is a whole number.

### c. The set of whole numbers is closed under division.
- **False**. The set of whole numbers is not closed under division because dividing two whole numbers does not always result in a whole number. For example, \(4 \div 3 = \frac{4}{3}\), which is not a whole number.

Would you like to see more details or have any questions about the closure property?

Here are five related questions to expand on this topic:
1. Is the set of integers closed under subtraction?
2. Is the set of rational numbers closed under division?
3. What is the closure property in relation to real numbers?
4. How does the closure property apply to addition in sets like the natural numbers?
5. What mathematical operations, besides the basic four, have closure properties for whole numbers?

**Tip**: When determining closure, always check whether the result of an operation still belongs to the same set as the numbers you started with.

State whether each statement is true or false for the closure property of whole numbers under subtraction, multiplication, and division.

Analyze the closure property of whole numbers under subtraction, multiplication, and division. Understand why whole numbers are not closed under subtraction and division but are closed under multiplication. Suitable for students in Grades 5-7.

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