Question

How many 3 digit numbers between 99 & 3000

Answer 1

Solution :-

The total number of 3 digit numbers between 99 and 3000 are as follows.

100                     -                                       1 Digit
(Which is the smallest 3 digit number)                           
From 101 to 200 -                                   100 Digits
From 201 to 300 -                                   100 Digits
From 301 to 400 -                                   100 Digits
From 401 to 500 -                                   100 Digits
From 501 to 600 -                                   100 Digits
From 601 to 700 -                                   100 Digits
From 701 to 800 -                                   100 Digits 
From 801 to 900 -                                   100 Digits
From 901 to 999 -                                     99 Digits
                                                               __________
     Total                                                    900 Digits  
                                                               __________

It can be understood in another way also.

The largest 3 digit number = 999
The largest 2 digit number = 99

Hence the total number of 3 digit numbers between 99 and 3000 are
= 999 - 99 
= 900

Answer.

Answer 2

The greatest three digit number is 999 ( because after 999, the next number is 1000 which is a four digit number).

The smallest three digit number is 100 (because before 100, the previous number is 99 which is a two digit number) .

Therefore, all the numbers between 100 and 999  including both 100 and 999 are the three digits numbers between 99 and 3000.

Therefore, number of three digit numbers between 99 and 3000
= 999- 100+1
=899+1
=900

Answer : There are 900 three digits numbers between 99 and 3000.