How many even 4 digit whole numbers are there?
Answers
Step-by-step explanation:
Since there are 5 single digit even numbers that are 0, 2, 4, 6, 8.
Therefore the number of 4 digit even numbers are ....
- At ones position 5 of the above digits can be used
- At tens and hundreds position we can have either of the 10 numbers.
- At thousands position any number except 0 can be used.
So....
5 × 10 × 10 × 9 = 4500
Given : even 4 digit whole numbers
To Find : How many are they
Solution:
Even numbers are the numbers whose unit digit is divisible by 2
Hence unit digit is 0 , 2 ,4 , 6 or 8
Smallest 4 digit number = 1000
Largest 4 digit number = 9999
Largest 4 digit even number = 9998
Difference between two consecutive even numbers is 2
Hence
1000, 1002 , 1004 , ... ______ , 9996 , 9998
forms an AP
a = 1000
l = 9998
d = 2
n = ?
9998 = 1000 + (n - 1) 2
=> 8998 = (n - 1)/2
=> 4499 = n - 1
=> n = 4500
Hence 4500 even 4 digit whole numbers are there
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