Identify the property illustrated in each statement. Assume all variables represent real numbers. 5 + √3 is a real number.

Key Concepts

Real Numbers

Real numbers include all the numbers that can be found on the number line, encompassing both rational numbers (like integers and fractions) and irrational numbers (like √3). They are used to represent quantities and can be positive, negative, or zero. Understanding that 5 and √3 are both real numbers is essential for analyzing expressions involving them.

Properties of Real Numbers

The properties of real numbers include various rules that govern their operations, such as the commutative, associative, and distributive properties. These properties help in simplifying expressions and solving equations. Recognizing that the sum of two real numbers (5 and √3) is also a real number illustrates the closure property of real numbers.

Closure Property

The closure property states that when you perform an operation (like addition or multiplication) on two numbers from a set, the result will also belong to that set. In this case, since both 5 and √3 are real numbers, their sum (5 + √3) is also a real number, demonstrating the closure property of real numbers under addition.