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. Recognize that the equation is of the form \(a + 0 = a\), where \(a\) represents the expression \((7.5 - y)\).
2. Recall the Identity Property of Addition, which states that adding zero to any number or expression does not change its value.
3. Identify that in the given equation, adding zero to \((7.5 - y)\) leaves it unchanged, illustrating this property.
4. Conclude that the property illustrated by the statement \((7.5 - y) + 0 = 7.5 - y\) is the Identity Property of Addition.
5. Note that this property is fundamental in algebra and helps simplify expressions by recognizing that zero is the additive identity.

Key Concepts

Additive Identity Property

The additive identity property states that adding zero to any real number does not change its value. In other words, for any number a, a + 0 = a. This property is fundamental in simplifying expressions and solving equations.

Real Numbers

Real numbers include all rational and irrational numbers and are the set of values used in most algebraic operations. Understanding that variables represent real numbers ensures that properties like additive identity apply universally in the given context.

Algebraic Expressions

An algebraic expression is a combination of variables, numbers, and operations. Recognizing how properties apply to expressions like (7.5 - y) + 0 helps in simplifying and manipulating these expressions correctly.