https://file.aiquickdraw.com/mathbot/file/1725016900783kjftvquy.jpg

The image shows four mathematical equations, and the task is to select the property of real numbers that justifies each equation. Here’s how to identify the properties:

1. **\(0 \cdot (c + 9) = 0 \cdot c + 0 \cdot 9\)**
   - This is the **Distributive Property**, which states that \(a \cdot (b + c) = a \cdot b + a \cdot c\).

2. **\(\frac{1}{5} \cdot 5 = 1\)**
   - This is the **Multiplicative Inverse Property**, which states that \(a \cdot \frac{1}{a} = 1\), assuming \(a \neq 0\).

3. **\((8 + a) + 2 = 8 + (a + 2)\)**
   - This is the **Associative Property of Addition**, which states that \((a + b) + c = a + (b + c)\).

4. **\(4 + (-4) = 0\)**
   - This is the **Additive Inverse Property**, which states that \(a + (-a) = 0\).

Would you like further details on these properties, or do you have any questions? 

Here are 5 relative questions for you:
1. What is the Commutative Property of addition or multiplication?
2. Can you provide another example of the Distributive Property in a different context?
3. What is the Additive Identity Property?
4. How do the Associative and Commutative properties differ?
5. Why is the Multiplicative Inverse important in solving equations?

**Tip:** Always check whether you are dealing with addition or multiplication when determining the property, as many properties apply differently depending on the operation.

Explore the properties of real numbers with examples and detailed explanations. Learn about the Distributive Property, Multiplicative Inverse Property, Associative Property of Addition, and Additive Inverse Property through practical equations. Suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation