Question

The Commutative Property Quick Check

Answer 1

The Commutative Property is a fundamental property in mathematics that applies to addition and multiplication. It states that the order of the numbers does not change the result. Here’s a quick overview:

### Commutative Property of Addition
- **Definition:** a + b = b + a
- **Example:** 3 + 5 = 5 + 3, both equal 8.

### Commutative Property of Multiplication
- **Definition:** a × b = b × a
- **Example:** 4 × 6 = 6 × 4, both equal 24.

### Quick Check Questions:
1. What is the sum of 7 + 2?
- Now rearrange: what is 2 + 7?

2. Calculate 9 × 5.
- What is 5 × 9?

3. Is it true that 10 + 15 = 15 + 10?
- Explain your reasoning.

4. Does 8 × 3 = 3 × 8?
- Show your work.

### Answers:
1. **7 + 2 = 9**, and **2 + 7 = 9** (Commutative Property holds).
2. **9 × 5 = 45**, and **5 × 9 = 45** (Commutative Property holds).
3. Yes, **10 + 15 = 25** and **15 + 10 = 25** (True).
4. Yes, **8 × 3 = 24** and **3 × 8 = 24** (Commutative Property holds).

Feel free to ask if you need further clarification or additional practice!