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 icecream. He gave 8 icecreams to her sister and 4 icecreams to his brother. How many icecreams were left with him? Certainly there were no icecream 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
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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
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● 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
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