Distributive Property of Integers
According to the distributive property of integers, calculations can be made simpler by distributing the multiplication operation over addition and subtraction. This implies that we have for any three integers, x, y, and z.
- x × (y + z) = (x × y) + (x × z)
- x × (y – z) = (x × y) – (x × z)
For example, what is the value of -5 × 98? This can be written as -5 × (100 – 2). Now by applying the distributive property of integers on this to get (-5 × 100) – (-5 × 2) = -500 – (-10) = – 600 + 10 = -590.
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