Identify the property illustrated in each statement. Assume all variables represent real numbers.(7.5 - y) + 0 = 7.5 - y

Verified step by step guidance

1. Identify the expression given: \((7.5 - y) + 0 = 7.5 - y\).
2. Recognize that the expression involves adding zero to another expression.
3. Recall the property of addition that states adding zero to any number does not change the value of that number.
4. This property is known as the 'Additive Identity Property'.
5. Conclude that the statement illustrates the Additive Identity Property, where adding zero to \((7.5 - y)\) results in \((7.5 - y)\).

Key Concepts

Identity Property of Addition

The Identity Property of Addition states that adding zero to any number does not change the value of that number. In the given statement, (7.5 - y) + 0 = 7.5 - y illustrates this property, as adding zero to (7.5 - y) results in the same expression, confirming that the identity element for addition is zero.

Real Numbers

Real numbers include all the numbers on the number line, encompassing rational numbers (like integers and fractions) and irrational numbers (like √2 and π). In the context of the question, it is important to recognize that the variables and constants involved are assumed to be real numbers, which ensures that the operations and properties discussed are valid within this set.

Algebraic Expressions

Algebraic expressions are mathematical phrases that can include numbers, variables, and operations. The expression (7.5 - y) is an example of an algebraic expression where 'y' is a variable. Understanding how to manipulate and simplify these expressions is crucial for identifying properties like the Identity Property of Addition in the given statement.