# Formation of Numbers

In formation of numbers we will learn the numbers having different numbers of digits.

We know that:

(i) Greatest number of one digit = 9

Smallest number of 2 digits = 10.

(If one is added to 9, we get 9 + 1 = 10).

(ii) Greatest number of 2 digits = 99

Smallest number of 3 digits = 100.

(If one is added to 99, we get 99 + 1 = 100).

(iii) Greatest number of 3 digits = 999

Smallest number of 4 digits = 1000.

(If one is added to 999, we get 999 + 1 = 1000).

(iv) Greatest number of 4 digits = 9999

Smallest number of 5 digits = 10000.

(If one is added to 9999, we get 9999 + 1 = 10000).

Thus, if 1 is added to 9 (greatest 1-digit number), we get 10 (smallest 2-digit number).

If 1 is added to 99 (greatest 2-digit number), we get 100 (smallest 3-digit number).

If 1 is added to 999 (greatest 3-digit number), we get 1000 (smallest 4-digit number).

If 1 is added to 9999 (greatest 4-digit number).

Look at the following table:

 Number of Digits Smallest Number Greatest Number One 0 9 Two 10 = 9 + 1 99 Three 100 = 99 + 1 999 Four 1000 = 999 + 1 9999

We observe that

The smallest 2-digit number is the

(Greatest 1-digit number + 1)

The smallest 3-digit number is the

(Greatest 2-digit number + 1)

The smallest 4-digit number is the

(Greatest 3-digit number + 1)

Therefore,

The smallest 5-digit number is the

(Greatest 4-digit number + 1)

i.e., 999 + 1 = 10000 (Ten thousand)

Now we will learn how to use an abacus in number formation

These facts can be expressed on a spike-abacus as follows:

One → 9, 9 + 1 = 10 = One ten

10 → 99, 99 + 1 = 100 = One hundred

100 → 999, 999 + 1 = 1000 = One thousand

1000 → 9999, 9999 + 1 = 10000 = Ten thousand

1-digit numbers:
1, 2, 3, 4, 5, 6, 7, 8, 9.

2-digit numbers:
10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, …………., 29,
30, 31, ……., 39, 40, 41,……….., 49, 50, 51,………, 60, 61,………., 69, 70, 71, 72, ……….., 79, 80, 81, ………., 89, 90, 91, ………………......, 99

3-digit numbers:
100, 101, …….., 199, 200, 201, ……, 299, 300, ……., 399, 400, ………, 499,
500, ….., 599, 600, ……, 699, 700, …., 799, 800, 801, ……, 890, ……., 899,
900, 901, ………, 990, 991, ……………, 999.

4-digit numbers:
1000, 1001,……,1099,1100,1101,……,1199,1200,1201,…………,1299,
1300, ……, 1399, 1400, 1401, …….,1499, 1500, 1501,……., 1599, 1600,
1601, ….., 1699, 1700, 1701, ……, 1799, 1800, 1801,………, 1899, 1900,
1901, ......., 1999, 2000, 2001, ……., 2999, 3000, 3001, …….., 3999, 4000,
4001, ……, 4999, 5000, ……., 5999, 6000, ……, 6999, 7000, 7001, ………,
7999, 8000, 8001, ………., 8999, 9000, 9001, ….....,9999.

5-digit numbers:
10000, 10001, ……………………………………………………........., 19999,
20000, 20001, ………………………………………………………….., 29999,
30000, 30001, ………………………………………………………….., 39999,
40000, 40001, .................., 49999, 50000, ………………………….., 59999,
60000, 60001, ……………, 69999, 70000, ……………………… ....., 79999,
80000, 80001, ……………., 89999, 90000, ………………………........ 99999

Now 6-digit numbers begin with 99999 + 1 = 100000, i.e., hundred thousand.

1. Fill in the blanks:

(i) 1,00,000 more than 4,52,532 is ................

(ii) 10,000,000 more than 54,928,329 is ................

(iii) 10,00,000 less than 32,24,521 is ................

(iv) 100,000 less than 8,482,934 is ................

(v) 10,000 more than 99,999 is ................

(vi) 1,000 more than 56,784 is ................

(vii) 10,000 less than 39,948 is ................

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