Total number of 9 digit numbers that are divisible by 5 is equal to
Answers
total number of 9 digit number that are divisible by 5 is equal to 50
There are total 180,000,000 9-digit numbers that are divisible by 5.
Explanation:
The smallest 9-digit number that is divisible by 5 = 100,000,000 [In international system ]
The greatest 9 digit number that is divisible by 5 = 999,999,995
The Arithmetic progression for the given situation becomes :
100,000,000 , 100,000,005 , ............................., 999,999,995
Here , a= 100,000,000
d= 5
a(n) = 999,999,995
Formula for nth term:
a(n)=a+[n-1]d
Substitute all values , we get
999,999,995=100,000,000+[n-1]5
⇒[n-1]5= 999,999,995- 100,000,000= 899,999,995
Divide both sides by 5 , we get
n-1 = 179999999
⇒n= 179999999+1=180,000,000
Hence, there are total 180,000,000 9-digit numbers that are divisible by 5.
# Learn more :
The tens digit of a two digit number exceeds the units digit by5 . if the digite are reversed the new number is less by 45.if the sum of the digitbe 9.find the number
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