# Closure Property

Related Topics:
More Lessons for High School Regents Exam
Math Worksheets

High School Math based on the topics required for the Regents Exam conducted by NYSED.

What is the Closure Property?

• The closure property of addition for real numbers states that if a and b are real numbers, then a + b is a unique real number.
• The closure property of multiplication for real numbers states that if a and b are real numbers, then a × b is a unique real number.

Algebra - The Closure Property

An introduction for the concept of closure and closed sets
Is the set of natural numbers closed under addition?
Is the set of natural numbers closed under subtraction?
Is the set of natural numbers closed under multiplication?
Is the set of natural numbers closed under division?

Closure Properties, more examples
Is the set of all even natural numbers closed under addition?
Is the set of all squared natural closed under multiplication?
Is the set of all odd whole numbers closed under multiplication?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.