Whole Numbers

Question 1: What is meant by whole numbers in math?

Answer:

In math, the set of all-natural numbers and zero is referred to as whole numbers. Whole numbers are a set of counting numbers starting from 0, 1, 2, 3, 4, and so on. Whole numbers are a part of real numbers that include only positive numbers and zero, i.e., they do not include negative numbers, decimals, or fractions. 

Question 2: What is the symbol for the set whole numbers and write some examples of whole numbers.

Answer: 

In math, whole numbers are denoted by the letter W, and the set of whole numbers is given as W = {0, 1, 2, 3, 4,…}. Every value in the W = {0, 1, 2, 3, 4,…} set is an example of a whole number. Some examples of whole numbers are 0, 1, 2, 5, 10, 21, etc.

Question 3: Can whole numbers be negative? What is the smallest whole number?

Answer:

In math, the set of all-natural numbers and zero is referred to as whole numbers. Whole numbers are a part of real numbers that include only positive numbers and zero, i.e., they do not include negative numbers, decimals, or fractions. The set of whole numbers is given as W = {0, 1, 2, 3, 4,…}. Thus, whole numbers cannot be negative. The smallest whole number is 0, as whole numbers start with 0.

Question 4: Which is the whole number that is not a natural number?

Answer:

The whole number that is not a natural number is 0 (Zero). This number distinguishes whole numbers from natural numbers.

Question 5: What are the differences between natural and whole numbers?

Answer:

The set of all-natural numbers and zero is referred to as whole numbers, whereas natural numbers are referred to as the set of all positive integers. The set of whole numbers starts from 0, i.e., W = {0, 1, 2, 3, 4, 5,…} whereas the set of natural numbers starts from 1, i.e., N = {1, 2, 3, 4, 5,…}. All natural numbers are whole numbers, whereas all whole numbers except 0 are natural numbers. 0 is the smallest whole number, whereas the smallest natural number is 1.



Properties of Whole Numbers

A number system refers to a system that represents numbers, where a number is defined as the mathematical value that helps to count, measure, or label and perform various mathematical calculations. We have various types of numbers based on their properties, such as natural numbers, whole numbers, integers, rational and irrational numbers, real numbers, etc. In a number system, these numbers are used as digits. A number system also helps us to perform various arithmetic operations such as addition, subtraction, and division. A binary number system, an octal number system, a decimal number system, and a decimal number system are different types of number systems.

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Whole Numbers

The set of all-natural numbers and zero is referred to as whole numbers. Whole numbers are a part of real numbers that include only positive numbers and zero, i.e., they do not include negative numbers, decimals, or fractions. In mathematics, whole numbers are denoted by the letter W. The set of whole numbers is given as W = {0, 1, 2, 3,…}, so we can say that whole numbers are a set of non-negative integers. Whole numbers are a set of counting numbers starting from 0, 1, 2, 3, 4, and so on. As whole numbers start from 0, 0 is the smallest whole number. On a number line, zero lies between the positive and negative numbers. We can also perform arithmetic operations such as addition, subtraction, multiplication, and division on whole numbers....

Properties of Whole Numbers

The fundamental arithmetic operations such as addition, subtraction, multiplication, and division on whole numbers lead to four main properties of whole numbers, such as closure property, commutative property, associative property, and distributive property....

Difference between Whole Numbers and Natural Numbers

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Solved Examples on Whole Numbers

Example 1: Identify the whole numbers among the set of numbers { -5, -4.25, 0, 2/5, 8, 19, 68}....

FAQs on Whole Numbers

Question 1: What is meant by whole numbers in math?...