The expanded form of a number is splitting based on place value.
What is place value ?
The place or position of a digit in a number determines its value.
For example,
732 in words
seven hundred and thirty two
7 is in hundred's place
3 is in ten's place
2 is in one's place.
732 = 7 x 100 + 3 x 10 + 2 x 1
Example 1 :
Write the expanded form of a number.
(a) 4871 (b) 68904 (c) 760391
Solution :
(a) 4871
Standard form : 4871
Expanded form : 4x1000 + 8x100 + 7x10 + 1x1
4000 + 800 + 70 + 1
(b) 68904
Standard form : 68904
Expanded form : 6x10000 + 8x1000 + 9x100 + 0x10 + 4x1
60000 + 8000 + 900 + 0 + 4
(c) 760391
Standard form : 760391
Expanded form : 7x100000 + 6x10000 + 0x1000 + 3x100 + 9x10 + 1x1
700000 + 60000 + 0 + 300 + 90 + 1
Example 2 :
Express the following in simplest form
(a) 90+7 (b) 400+30+6
(c) 8000+4 (d) 5000+600+8
(e) 70000 + 60 + 5 (f) 4000 000 + 900 + 8
Solution :
(a) 90 + 7 = 97
(b) 400+30+6 = 436
(c) 8000+4 = 8004
(d) 500+600+8 = 5608
(In hundred place we have nothing. So, replace it by 0.)
(e) 70000 + 60 + 5 = 70065
(In thousand's and in hundred's place we have nothing. So , replace it by 0.)
(f) 4000 000 + 900 + 8 = 4000908
Example 3 :
What number is represented by the digit 4 in 86482 ?
Solution :
Example 4 :
What number is represented by the digit 3 in 43209 ?
Solution :
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM