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A whole number is a collection of numbers that comprises all positive integers and 0. Fractions, decimals, and negative values that are not included in real numbers are referred to as whole numbers. Counting numerals is also included in whole numbers. This class will cover whole numbers and related issues.
What do you mean when you say “whole numbers”?
Natural numbers are a set of positive integers; on the other hand, natural numbers and zero(0) constitute a set known as whole numbers. Whole numbers, in basic terms, are a collection of numbers that contain no fractions, decimals, or even negative integers.
Symbol for a whole number
The alphabet ‘W’ in capital letters is used to denote entire numbers: W = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
The smallest whole number possible
The number 0 is the beginning of the entire number system (from the definition of whole numbers). As a result, the smallest whole number is zero. Brahmagupta, a Hindu astronomer and mathematician, was the first to define zero in 628. In basic terms, zero is the number that sits on a number line between the positive and negative numbers. Despite the fact that zero has no value, it is used as a placeholder. Zero is therefore neither a positive nor a negative number.
Natural Numbers vs. Whole Numbers
We may deduce from the previous definitions that every whole integer other than 0 is a natural number. Furthermore, any whole number is a natural number. As a result, the set of natural numbers is a subset or component of the set of whole numbers.
Whole Number Properties
Addition, subtraction, multiplication, and division are the four basic operations on whole numbers that lead to the four primary features of whole numbers given below:
Closure property
A whole number is always the sum and product of two whole numbers. For instance, 7 + 3 Equals 10 (whole number), and 7 2 = 14 (part number) (whole number)
Property of Association
. When we put the following integers together, we obtain the same result: (10 + 7) + 12 = (10 + 12) + 7 = 29. Similarly, no matter how the numbers are arranged, we obtain the same product when we multiply them: (3 2) 4 = 24. 3 (2 4) Equals (3 2) 4 = 24.
Property of Commutation
This feature asserts that changing the order of addition has no effect on the sum’s value. Let’s say ‘a’ and ‘b’ are two whole integers that satisfy the commutative property of a and b.
Distributive property
The multiplication of a whole number is spread throughout the total of the whole numbers, according to this property. It indicates that if two numbers, say a and b, are multiplied by the same number c and then added, the sum of the two numbers may be multiplied by c to yield the same result.
Conclusion
Any positive integer without a fractional or decimal portion is referred to as a whole number. If you are planning to work out on your basics and learn the concept then classes from Cuemath are the best option for you. They have the well trained and experienced team that will help you in learning the best. They will guide you in learning the concept of whole numbers from the very beginning so that you can excel in the field. The expert team will also make you try your hands on a number of problems so that the entire concept is clear in your mind and you can teach your students or appear in your exam with full confidence.
