Numerals | Natural Numbers | Whole Numbers

Numerals | Natural Numbers | Whole Numbers

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
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 4-digit number and smallest 3-digit 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 9th whole number and 100th natural number.

Solution: Here,
                9th whole number = 8
                100th 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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