Properties of Integers
What are the Properties of Integers?
The fundamental laws that make up the properties of numbers simplify our calculations and give us an explanation for performing different operations on integers.
What is the importance of Knowing the Properties of Integers?
Understanding integer features is important since it facilitates calculations. If we are aware of the properties of integers, we can answer any equation based on their operations with ease.
What are the Properties of Integers under Multiplication?
- Any integer can be multiplied by 1 to get the same number.
- Any integer multiplied by 0 always yields 0.
- Closure property
- Associative property
- Multiplication is distributive over addition and subtraction
- Commutative property
What are the Properties of Integers under Addition?
- The addition of two integers satisfies the closure property.
- Two or more integers can be added in any order.
- Any integer’s value is unaffected by the addition of 0.
What are the Properties of Division of Integers?
- Any number remains the same when divided by 1.
- Any number divided by 0 always results in 0.
- 0 divided by 0 is not defined.
- Division of integers does not always satisfy the closure property, the associative property, and the commutative property.
What are the Four Properties of Integers?
The four used properties of integers are the closure property, the commutative property, the associative property, and the distributive property.
Properties of Integers
Properties of Integers are the fundamental rules that define how integers behave under various operations such as addition, subtraction, multiplication, and division. As we know, integers include natural numbers, 0, and negative numbers. Integers are a subset of rational numbers, where the denominator is always 1 for integers. Therefore, many of the properties that hold for rational numbers also hold true for integers.
This article explores the concept of Properties of Integers including Closure Property, Associative Property, Commutative Property, Distributive Property, Identity Property, and Inverse Property. So, let’s start learning about all the properties of integers in this article.
Table of Content
- What are the Properties of Integers?
- Closure Property of Integers
- Associative Property of Integers
- Commutative Property of Integers
- Distributive Property of Integers
- Identity Property of Integers
- Inverse Property of Integers