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2. Arrange the following numbers in ascending order:

(a) 863532, 8654627, 7825216, 7324545 (b) 5231761, 2000413, 2050009, 2500496
(c) 6954521, 6954544, 6954530, 6954524 (d) 7546542, 7546452, 7546321, 7546325

3. Arrange the following numbers in descending order.

(a) 87976, 76049, 75959, 97479 (b) 528781, 452678, 453170, 654675

(c) 798667, 7983678, 7893569, 9400045 (d) 9864542, 9864521, 98645321, 9865021

4. Find the smallest and the greatest numbers formed by using digits 0, 3, 7, 6, 8, 5
without repetition.
5. Write the smallest and the greatest 8-digit numbers by using digits 4, 0, 1, 7, 5, 6, 9,
8 without repetition.
6. Write the greatest and the smallest 7-digit numbers using the given digits with
repetition of digits.

(a) 5, 7, 2, 4, 0 (b) 7, 5, 9, 6 (c) 3, 2, 7, 0 (d) 5, 9, 3

internationaL PLace VaLue system

It is another place value system which is used to read and write numbers. This place value
system is commonly used globally. In this system, every period has three places. Let us take

the number 65423198 and place it in the international place value chart as shown below.
Periods Millions thousands Ones
Places Hundred Ten Millions Hundred Ten Thousands Hundreds Tens Ones
Millions Millions (M) Thousands Thousands (Th) (H) (T) (O)
(HM) (TM) (HTh) (TTh)
100,000,000 10,000,000 1,000,000 100,000 10,000 1000 100 10 1
6 5 4 2 3 1 9 8

In this place value system, the names of the periods are Ones, Thousands and Millions, etc.
The ones period has three places: ones, tens and hundreds. Thousands period has three
places: thousands, ten thousands and hundred thousands.

Similarly, millions period has three places: millions, ten millions and hundred millions.

Let us write and read the number shown in the above place value chart.

In this number system, we put commas after every third digit from the right of the number
to separate the periods.

In words: Sixty-five million four hundred twenty-three thousand one hundred ninety-eight.
Using commas: 65, 423, 198

Millions Ones
period Thousands period
period

18 Mathematics-5