# How is zero used in the set of whole numbers?

Numerals are the mathematical figures used in financial, professional as well as a social field in the social world. The digits and place value in the number and the base of the number system determine the value of a number. Numbers are used in various mathematical operations as summation, subtraction, multiplication, division, percentage, etc which are used in our daily businesses and trading activities.

Numbersare the mathematical figures or values applicable for counting, measuring, and other arithmetic calculations. Some examples of numbers are integers, whole numbers, natural numbers, rational and irrational numbers, etc.

The number system is a standardized method of expressing numbers into different forms being figures as well as words. It includes different types of numbers for example prime numbers, odd numbers, even numbers, rational numbers, whole numbers, etc. These numbers can be expressed in the form on the basis of the number system used.

The number system includes different types of numbers for example prime numbers, odd numbers, even numbers, rational numbers, whole numbers, etc. These numbers can be expressed in the form of figures as well as words accordingly.

For example, the numbers like 40 and 65 expressed in the form of figures can also be written as forty and sixty-five.

The elementary system to express numbers is called a number system. It is the standardized method for the representation of numerals in which numbers are represented in arithmetic and algebraic structure.

**Types Of Numbers**

There are different types of numbers categorized into sets by the number system. The types are described below:

**Natural numbers:**Natural numbers counts from 1 to infinity. They are the positive counting numbers that are represented by**‘N’**. It is the numbers we generally use for counting. The set of natural numbers can be represented as N = {1,2,3,4,5,6,7,……………}**Whole numbers:**Whole numbers count from zero to infinity. Whole numbers do not include fractions or decimals. The set of whole numbers is represented by**‘W’.**The set can be represented as W={0,1,2,3,4,5,………………}**Rational numbers:**Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals and is represented by**‘Q’.****Irrational numbers:**Irrational numbers are numbers that cannot be expressed in fractions or ratios of integers. It can be written in decimals and have endless non-repeating digits after the decimal point. They are represented by**‘P’.****Integers:**Integers are the set of numbers including all the positive counting numbers, zero as well as all negative counting numbers which count from negative infinity to positive infinity. The set doesn’t include fractions and decimals. The set of integers is represented by**‘Z’**. Example: Z={………..,-5.-4,-3,-2,-1,0,1,2,3,4,5,………….}**Decimal numbers:**Any numeral value that consists of a decimal point is a decimal number. It can be expressed as 2.5,0.567, etc.**Real number:**The set of numbers that do not include any imaginary value and are constituent of all the positive integers, negative integers, fractions, and decimal values are real numbers. It is generally denoted by**‘R’.****Complex numbers:**They are a set of numbers that include imaginary numbers are complex numbers. It can be expressed as a+bi where “a” and “b” are real numbers. It is denoted by**‘C’.**

**What are Whole Numbers?**

The subset of the number system that consists of all positive integers including 0 is defined as a whole number. The whole number counts from zero to positive infinity. These numbers are mostly used for counting, measurement of fundamental quantities, and daily calculations.

Whole numbers are the only constituents of natural numbers including zero. The subset is given by {0,1,2,3,4,5,……….}, the set does not include fractions, decimals, and negative integers.

Hence the form of whole number is 0, 1, 2, 3, 4, 90,…..

**Examples of Whole Numbers**

Positive integers are also known as counting numbers including zero are part of whole numbers, such as 0,1,2,3,4,5, etc, excluding negative integers, fractions, and decimals.12, 120, 1200, etc all are examples of whole numbers.

**How is zero used in the set of whole numbers?**

**Answer:**

The whole numbers are set of real numbers that includes zero and all positive counting numbers,

0 is also a whole number. Here zero is used as a place holder that lies between the positive and negative number on number line. As zero has no value neither zero is negative or positive, works only as a place holder.

**Sample Questions**

**Question 1: Is 18 a whole number?**

**Answer:**

Since, the whole numbers are set of real numbers that include zero and all positive counting numbers whereas, excludes fractions, negative integers, and decimals. For example 0,1,2,3,4,5,etc.

Therefore, 18 being a part of real numbers is a whole number.

**Question 2: What are the examples of whole numbers?**

**Answer:**

0, 1, 2, 4, 45, 55, 78, 100 and so on are the examples of whole numbers.

**Question 3: Is 42.5 a whole number?**

**Answer:**

No, its not a whole number as its a fractional value and whole number doesn’t include fraction.

**Question 4: Identify 0.5 is a whole number or not?**

**Answer:**

The whole numbers are a set of real numbers that include zero and all positive counting numbers. Whereas, excludes fractions, negative integers, and decimals. Hence 0.5 being a decimal value is not a whole number.