Identify the rule(s) of algebra illustrated by the statement. (Select all that apply.)

(*z* − 6) + 0 = *z* − 6

The statement \((z - 6) + 0 = z - 6\) illustrates the following rule of algebra:

1. **Additive Identity Property**: This property states that adding 0 to any number or expression does not change its value. Here, \((z - 6) + 0\) equals \(z - 6\), demonstrating that adding 0 does not affect the expression.

Would you like more details or have any questions? Here are five related questions you might consider:

1. How does the additive identity property apply to other algebraic expressions?
2. What is the difference between the additive identity and the multiplicative identity?
3. Can you give examples of how the additive identity is used in solving equations?
4. How does the additive identity property simplify algebraic expressions?
5. What is the significance of the number 0 in different algebraic operations?

**Tip:** The additive identity property is fundamental in algebra, as it helps in maintaining the value of expressions while performing operations, making it easier to simplify and solve equations.

Explore how the additive identity property works in algebra with the statement (z - 6) + 0 = z - 6. This example demonstrates that adding 0 to any expression does not change its value, a fundamental concept in algebraic simplification and equation solving. Suitable for students in Grades 7-9.

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