Numerals  Natural Numbers  Whole Numbers
Numerals
The symbols which indicate numbers are called numerals. There are different numerals for different system of numbers in the world. Some of the common systems and their numerals are as given below in the table.
Number
System

Numerals


Roman

I

II

III

IV

V

VI

VII

VIII

IX

X

L

C

D

M

Devanagari

१

२

३

४

५

६

७

८

९

१०

५०

१००

५००

१०००

Hindu Arabic

1

2

3

4

5

6

7

8

9

10

50

100

500

1000

Natural Numbers
The numbers which are based for counting
are called natural numbers. For example: 1, 2, 3, 4, ……… ∞ (Infinite). It is also called counting numbers.
Whole Numbers
When we include 0 with the set of natural
numbers then the new set of numbers are called whole number. For example: {0,
1, 2, 3, 4, ……… ∞ (Infinite)}, where the natural numbers are the member
of whole numbers.
Greatest and Smallest Numbers
Number

The greatest

The smallest

1 digit

9

1

2 digit

99

10

3 digit

999

100

4 digit

9999

1000

5 digit

99999

10000

Greatest and smallest numbers formed by digits 0, 1, 2,
3, 4, 5 are
Greatest > 543210
Smallest > 102345
Development of Whole Numbers
The history of human beings has started from hunting age
called primitive age. In that time the people were in primitive society. They
were calculating anything by using concrete or stone. Later they started to
draw lines and counted the cattle. Gradually the sense had been developed in
human mind and they had started fingers as counting tools. And during the time
Hindu Arabic digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 were developed. But 1, 2, 3,
4, 5, 6, 7, 8, 9 were useful in counting. Later they needed 0 to form different
numbers like 10, 20, 30, 40 and so on. In this way 0 was included with natural
numbers to form whole numbers. Zero is just nothing when we write it single.
But it is more thing when we write 0 just after 1, 2, 3 or 4 with other
numbers. For number: 01, 02, 03, 04 are just 1, 2, 3 and 4.But 10, 20, 30, 40
are greater than 1, 2, 3, and 4 due to placement of zero from left to right.
Workout Examples
Example 1: Find the sum of the smallest 3 digit and greatest 3 digit
number.
Solution: Here,
The
greatest 3 digit number = 999
The
smallest 3 digit number = 100
The
sum = 999 + 100
= 1099
Example 2: Find the difference between greatest 4digit number and
smallest 3digit number.
Solution: Here,
The
greatest 4 digit number = 9999
The
smallest 3 digit number = 100
The
difference = 9999 – 100
= 9899
Example 3: Find the sum of 9^{th} whole number and 100^{th}
natural number.
Solution: Here,
9^{th}
whole number = 8
100^{th}
natural number = 100
The
sum = 8 + 100
= 108
Example 4: Use the digits 0, 1, 5, 7, 9 to form smallest and
greatest number.
Solution: Here,
Smallest
number = 10579
Greatest
number = 97510
Example 5: Find the value of MMD + MCC.
Solution: Here,
MMD
= 2500
MCC
= 2200
∴ MMD + MCC = 2500 + 2200 = 3700
You can comment your questions or problems
regarding natural numbers and whole numbers here.
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