Representation of Whole Numbers on Number Line
Numbers on a line is called the representation of whole numbers on number line.
The number line also helps us to compare two whole numbers, i.e., to decide which of the two given whole numbers is greater or smaller.
In order to represent whole numbers on a number line, we draw a straight line and mark a point O on it.
Starting from O, mark points A, B, C, D, E, F, G, H, etc. on the line at equal distances to the right of O.
Label the point O as 0.
Let us take OA = 1 unit. Then, AB = BC = CD = DE = 1 unit.
Now,
OB = OA + AB = (1 + 1) units = 2 units,
OC = OB + BC = (2 + 1) units = 3 units,
OD= OC + CD = (3 + 1) units = 4 units and so on.
Since O corresponds to the whole number 0, therefore, A, B, C, D, etc. correspond to the whole numbers 1, 2, 3, 4, etc. respectively.
The arrow marks on both ends of the line indicate that the number line extends indefinitely on both sides.
The following number line represents a whole number line on which whole numbers a represented.
The distance between two points (labelled 0 and 1) is called unit distance.
Step I: Draw a line and mark a point on it. Label the point as O.
Step II: Starting from O, mark off points A, B, C, D, E, F, G etc. to the right of O at equal intervals.
Taking OA = 1 unit, we get AB = BC = CD = DE = EF = FG = 1 unit
Now OB = OA + AB = (1 + 1) units = 2 units
OC = OA + AB + BC = (1 + 1 + 1) units = 3 units
OD = OA + AB + BC + CD = (1 + 1 + 1 + 1) units = 4 units and so on.
Since O represents the whole number zero, therefore A, B, C, D, E, F, G, etc. represent the whole numbers 1, 2, 3, 4, 5, 6, 7, etc., respectively.
So on the given number line, 1, 2, 3, 4, 5, 6, 7 ... are written against A, B, C, D, E, F, G..., respectively.
Similarly, every whole number can be represented by some point on the number line.
Representation of Whole Numbers on Number Line
Division as The Inverse of Multiplication
You might like these
Counting Natural Numbers | Definition of Natural Numbers | Counting
Natural numbers are all the numbers from 1 onwards, i.e., 1, 2, 3, 4, 5, …... and are used for counting. We know since our childhood we are using numbers 1, 2, 3, 4, 5, 6, ………..
Reading and Writing Large Numbers | Large Numbers in Words in Billion
In reading and writing large numbers we group place values into periods ‘ones or unit’, ‘tens’, ‘hundred’, ‘thousand’, ‘10 thousand’, ‘100 thousand’, ‘million’, ’10 million’, ‘100 million
Numbers | Notation | Numeration | Numeral | Estimation | Examples
Numbers are used for calculating and counting. These counting numbers 1, 2, 3, 4, 5, .......... are called natural numbers. In order to describe the number of elements in a collection with no objects
Properties of Addition | Identity, Commutative, Associative, Additive
The properties of addition whole numbers are as follows: Closure property: If a and b are two whole numbers, then a + b is also a whole number. In other words, the sum of any two whole numbers i
Properties of Multiplication | Multiplicative Identity | Whole Numbers
There are six properties of multiplication of whole numbers that will help to solve the problems easily. The six properties of multiplication are Closure Property, Commutative Property, Zero Property, Identity Property, Associativity Property and Distributive Property.
Estimating Sum and Difference | Reasonable Estimate | Procedure | Math
The procedure of estimating sum and difference are in the following examples. Example 1: Estimate the sum 5290 + 17986 by estimating the numbers to their nearest (i) hundreds (ii) thousands.
Estimating Product and Quotient |Estimated Product |Estimated Quotient
The procedure of estimating product and quotient are in the following examples. Example 1: Estimate the product 958 × 387 by rounding off each factor to its greatest place.
Properties of Whole Numbers | Closure Property | Commutative Property
The properties of whole numbers are as follows: The number 0 is the first and the smallest whole numbers. • All natural numbers along with zero are called whole numbers.
Properties of Subtraction |Whole Numbers |Subtraction of Whole Numbers
1. When zero is subtracted from the number, the difference is the number itself. For example, 8931 – 0 = 8931, 5649 – 0 = 5649 2. When a number is subtracted from itself the difference is zero. For example, 5485 – 5485 = 0 3. When 1 is subtracted from a number, we get its
Whole Numbers | Definition of Whole Numbers | Smallest Whole Number
The whole numbers are the counting numbers including 0. We have seen that the numbers 1, 2, 3, 4, 5, 6……. etc. are natural numbers. These natural numbers along with the number zero
Addition of Numbers using Number Line | Addition Rules on Number Line
Addition of numbers using number line will help us to learn how a number line can be used for addition. Addition of numbers can be well understood with the help of the number line.
Subtraction of Numbers using Number Line |Subtracting with Number Line
Subtraction of numbers using number line will help us to learn how a number line can be used for subtracting one number from the another number.
Worksheet on Reading and Writing Large Numbers|Writing Numbers in Word
Practice the questions given in the worksheet on reading and writing large numbers to group place values into periods in hundred, thousand, million and billion. The questions are related to writing
Worksheet on Estimation | Estimate the Product |Nearest Tens, Hundreds
Practice the questions given in the worksheet on estimation. The questions are based on estimating the sum, difference, product and quotient to the nearest tens, hundreds and thousands.
Properties of Adding Integers | Closure |Commutative | Associative ...
The properties of adding integers are discussed here along with the examples. 1. The addition (sum) of any two integers is always an integer. For example: (i) 5 + 9 = 14 ∈ Z (ii) (-5) + 9 = 4 ∈ Z
6th Grade Page
From Representation of Whole Numbers on Number Line to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Worksheet on Mixed Addition and Subtraction | Questions on Addition
Jan 12, 25 02:14 PM
In worksheet on mixed addition and subtraction the questions involve both addition and subtraction together; all grade students can practice the questions on addition and subtraction together. -
Estimating Sums and Differences | Estimations | Practical Calculations
Jan 12, 25 02:02 PM
For estimating sums and differences in the number we use the rounded numbers for estimations to its nearest tens, hundred, and thousand. In many practical calculations, only an approximation is requir… -
Combination of Addition and Subtraction | Mixed Addition & Subtraction
Jan 12, 25 01:36 PM
We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add -
Checking Subtraction using Addition |Use Addition to Check Subtraction
Jan 12, 25 01:13 PM
We can check subtraction by adding the difference to the smaller number. Since the sum of difference and smaller number is equal to the larger number, subtraction is correct. -
Worksheet on Subtraction of 4-Digit Numbers|Subtracting 4-Digit Number
Jan 12, 25 09:04 AM
Practice the questions given in the worksheet on subtraction of 4-digit numbers. Here we will subtract two 4-digit numbers (without borrowing and with borrowing) to find the difference between them.
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.