Whole numbers are a big part of the number system. These whole numbers include all the positive integers starting from 0 to infinity. These numbers can be represented in a number line. This must be noted that all whole numbers are real numbers but not all the real numbers are whole numbers. So, we can say that these numbers are a set of natural numbers with 0 with them.
While this must be noted that integers also include both positive and negative numbers which comprise 0 as well. Examples of whole numbers are -1, 22, 65, 678, etc.
Let us now learn about the geometrical figure known as the Circle, where we will learn about the Area of the Circle.
How Would you Define Whole Numbers?
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The whole numbers are numbers that can be identified as a collection of positive integers and zero, they are without fractions. These whole numbers are represented by the letter ‘W’.
Below is a set of whole numbers, natural numbers, integers, and counting numbers, let us check from below:
● Whole Numbers: W = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10……}
● Natural Numbers: N = {1, 2, 3, 4, 5, 6, 7, 8, 9,…}
● Integers: Z = {….-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…}
● Counting Numbers: {1, 2, 3, 4, 5, 6, 7,….}
What are the Properties of Whole Numbers?
Here we will study the properties of whole numbers. Given below are the properties of the whole numbers:
1. The properties of whole numbers are totally based on arithmetic operations like addition, subtraction, division, and multiplication.
2. While adding or multiplying two whole numbers, then it will always give another whole number as a result.
3. While subtraction of two whole numbers might not give you a whole number, it can be an integer too.
Did You Know? – Facts on Whole Numbers
These are some facts which speak about whole numbers, they are as follows:
1. All the natural numbers are whole numbers
2. Counting numbers are always whole numbers
3. Positive integers which include zero are also whole numbers.
4. Whole numbers are real numbers basically.
These were the study of whole numbers. Previously we also studied the area of circle, we had only a brief knowledge about the same. Our main focus was on the whole numbers. Before starting any mathematical study, it is very important to know about whole numbers as these whole numbers form the basis of the number system. With the foundation laid down by the whole numbers we study and practice upgraded levels of sums.
The study of whole numbers is done in standards 1 and 2. While the study of the area of a circle is done in standard 8 basically. The area of the circle is also a very important concept in the study of geometry.
Defining a Circle is only a preliminary study, we have discussed the area of the circle in this content and also had spilled out the formula for the circle. The value of π is quite interesting, isn’t it?
Also Read- Reasons Why Teaching Jobs Are Growing in Demand After Digital India
What is the Area of the Circle?
The area of circle is the surface or the region which is being occupied by the two-dimensional plane figure. Let us now check the formula used to calculate the area of the circle.
The formula to calculate the area of the circle is A = πr2
Here A is the radius of the circle, and r is the radius of the circle. The value of π is 22/7 or 3.14
And this is the unit of area which is the square unit like m2, cm2, etc.
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