Whole Numbers
The whole numbers are the counting numbers including 0.
In our daily life we come across many solutions where the result cannot be represented by a natural number. Suppose Ranjan has 12 ice-cream. He gave 8 ice-creams to her sister and 4 ice-creams to his brother. How many ice-creams were left with him? Certainly there were no ice-cream left with him. To denote 'no' or 'nothing one more symbol is introduced, which is called zero (0).
It is not part of natural number. The set of natural numbers along with zero gives a set of numbers called whole numbers. Whole numbers are denoted by W.
Thus, W = {0, 1, 2, 3, 4, ...)
Definition of Whole Numbers:
All natural numbers along with 0 are called whole numbers. There are unlimited whole numbers starting with the smallest whole number 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 from the collection of whole numbers. The numbers 0, 1, 2, 3, 4, …………… are called whole numbers.
The smallest whole number is 0.
The first 100 whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99.
Thus, a whole numbers is either 0 or a natural number.
REMEMBER:
I: Every natural number is a whole number.
II: Zero is the only number which is a whole number but not a natural number.
1. State True or False:
(i) Zero is the smallest natural number.
(ii) 1 is the smallest whole number.
(iii) All natural numbers are not whole numbers.
(iv) All whole numbers are natural numbers.
Answer:
1. (i) False
(ii) False
(iii) False
(iv) False
You might like these
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, ………..
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 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
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
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.
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.
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.
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.
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
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
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 will help us to learn how a number line can be used for subtracting one number from the another number.
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
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.
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
● Whole Numbers
The Number Zero
Properties of Whole Numbers
Successor and Predecessor
Representation of Whole Numbers on Number Line
Properties of Addition
Properties of Subtraction
Properties of Multiplication
Properties of Division
Division as The Inverse of Multiplication
Numbers Page
6th Grade Page
From Whole Numbers 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.
Share this page:
What’s this?
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.