Whole numbers have a lot of features that aid us in performing operations on them. The features of operations are defined by these attributes. We’ll study the characteristics of whole numbers in addition, subtraction, multiplication, and division in this article.
List of Whole Number Properties
The natural numbers, as well as the number 0, are referred to as whole numbers. In mathematics, the set 0-1,2,3,… is the set of whole numbers. The letter W is used to represent it. The following are the qualities of whole numbers:
- Property for Sale After Closing
- Property of Association
- Distributive Property Commutative Property
Let’s take a closer look at each of the features of whole numbers and natural numbers.
Whole Numbers Have a Closure Property
“Addition and multiplication of two whole numbers is always a whole number,” according to the whole number’s closure feature. For instance, 0+2=2. 2 is a whole number in this case. Multiply any two whole numbers in the same way, and the result will be another whole number. For instance, 35=15.
a,bW, a+bW, and abW are all valid.
Whole Numbers’ Associative Property
“The sum and product of any three whole numbers stay the same regardless of how the numbers are grouped together or organized,” says the associative property of whole numbers.
1+(2+3) = 1+(2+3)
Example 1: (1+2)+3 Equals 1+(2+3) because
1 + 2 + 3 = 3 + 3 = 6
1+(2+3) = 1+5 = 6
Example 2: (1×2)×3 Equals 1×(2×3) because,
(12) 3 = 2 + 3 = 6
6 = 1(23), 1(23), 1(23), 1(23), 1(23), 1(23), 1(23), 1
Whole Numbers Have the Commutative Property
“The sum and product of two whole numbers stay the same even when the order of the numbers is changed,” says the commutative property of whole numbers. It’s the same as the associative property, with the exception that we’re just dealing with two whole integers here.
2+3 Equals 3+2 in
Example 1 because
3 + 2 Equals 5
2 + 3 Equals 5
Example 2: 23 Equals 32 due to the fact that
2 + 3 Equals 6
6 = 32
The following is a statement of W’s commutative property:
a+b=b+a and ab=ba for every a,bW.
Whole Numbers’ Distributive Property
a(b+c)=ab+ac.
Example 1: 3(2+5) Equals 32+35 due to the fact that
21 = 3(2+5) = 3(2+5) = 3(2+5) = 3(2+5) = 3(2+5)
6+15 = 21 = 32+35 =
Multiplication over subtraction has the distributive property a(bc)=abac.
Example 2: 3(52) Equals 35322, as follows:
3(52) = 3 (33) = 9
15-6 = 9 = 35-32% = 15-32% = 15-32% = 15-32% = 15-32% = 15-32% =
To sum up, let’s have a look at the chart of whole number properties below to see which property applies to the operation.
Conclusion
This was all about the properties of whole numbers. If you want to know more about the concept then all you need to do is to enroll in the classes at Cuemath and the experts will help you out in the best manner. The experts are well trained in their subjects and will help you in getting your hands on the subject in the best manner. All you need to do is to look forward to enrolling today and the concept will be clearly understood by you. Whole numbers are not very difficult to understand and with the correct guidance, you will definitely excel in the field with full confidence to score good marks.