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c. 63432701 6,34,32,701 Six crore thirty-four lakh thirty-two thousand
seven hundred one.

Place Value

Let us put the digits of 884511099 in place value chart.

Crore Lakhs Thousands Ones
(TC) (C) (TL) (L) (TTh) (Th) (H) (T) (O)
8 8 4 5 1 1 0 9 9

Place Value of each digit according to Indian Place Value System

8 ten 8 crore 4 ten lakh 5 lakh 1 ten 1 0 9 9
crore thousand thousand hundred tens ones

Or

80,00,00,000 8,00,00,000 40,00,000 5,00,000 10,000 1,000 0 90 9

We can show place value of each digit like this ®
Note 88 45 11 099 Ones Period

Thousands Period
It is easy to determine the place value of-any
digit by writing the number in place value Lakhs Period
chart.
Crore Period
Expanded Form and Standard Form

When each digit of a given number is written with its place value, we get the
expanded form of the number.

Example 3 : Expand this number in three ways :
34, 16, 97, 832
Solution : We can expand any given number in three ways.
1. 3 ten crore + 4 crore + 1 ten lakh + 6 lakh + 9 ten thousand + 7
thousand + 8 hundred + 3 ten + 2 one
2. 3 x 10, 00, 00, 000 + 4 x 1,00, 00, 000 + 1 x 10, 00,000 + 6 x 1,
00, 000 + 9 x 10, 000 + 7 x 1, 000 + 8 x 100 + 3 x 10 + 2 x 1
3. 30, 00, 00, 000 + 4, 00, 00, 000 + 10, 00, 000 + 6, 00, 000 +
90, 000 + 7, 000 + 800 + 30 + 2

Successor and Predecessor
8 To find the successor of a given number, we add 1 to it.

8 To find the predecessor of a given number, we subtract 1 from it.

For example : Successor of 99, 99, 999 is 99, 99, 999 + 1 = 1, 00, 00, 000
Predecessor of 4, 00, 00, 000 is 4, 00, 00, 000 – 1 = 3, 99, 99, 999

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Mathematics In Focus - 5