closure property of multiplication definition and example

The distributive property is known as the distributive law of multiplication over addition and subtraction. Commutative Property of Multiplication: a × b = b × a ⇒ 8 × 9 = 72 and 9 × 8 = 72.Commutative Property of Addition: a + b = b + a ⇒ 8 + 9 = 17 and b + a = 9 + 8 = 17.This property applies to addition and multiplication but is not applicable to subtraction and division. The sum or product of two natural numbers remains the same even after interchanging the order of the numbers.

Associative Property of Multiplication: a × (b × c) = (a × b) × c ⇒ 2 × (3 × 1) = 2 × 3 = 6 and the same result is obtained in (a × b) × c = (2 × 3) × 1 = 6 × 1 = 6.Associative Property of Addition: a + (b + c) = (a + b) + c ⇒ 2 + (3 + 1) = 2 + 4 = 6 and the same result is obtained in (2 + 3) + 1 = 5 + 1 = 6.The sum or product of any three natural numbers remains the same even if the grouping of numbers is changed. This shows that the product of natural numbers is always a natural number. Closure Property of Multiplication: a × b = c ⇒ 2 × 3 = 6, 7 × 8 = 56, etc.

$closure property of multiplication definition and example$

This shows that the sum of natural numbers is always a natural number.

Closure Property of Addition: a + b = c ⇒ 1 + 2 = 3, 7 + 8 = 15.

The sum and product of two natural numbers is always a natural number. Let us read about these properties in detail. The four operations, addition, subtraction, multiplication, and division, on natural numbers, lead to four main properties of natural numbers as shown below: The set of natural numbers in Mathematics is written as. Set of Natural NumbersĪ set is a collection of elements (numbers in this context). Examples of Natural NumbersĪ few examples of natural numbers are 23, 56, 78, 999, 100202, and so on. The set of natural numbers includes only the positive integers, i.e., 1, 2, 3, 4, 5, 6, ……….∞. Natural numbers are the numbers that are used for counting and are a part of real numbers. For example, while counting objects, we say 5 cups, 6 books, 1 bottle, and so on. These numbers that are used for counting objects are called 'natural numbers'. We see numbers everywhere around us, for counting objects, representing or exchanging money, for measuring the temperature, telling the time, etc. These numbers are significantly used in our day-to-day activities. Natural numbers refer to a set of all the whole numbers excluding 0.

Closure property of multiplication definition and example