How many three-digit numbers are divisible by 5 ?

Answer

There are 180 three-digit natural numbers divisible by 5.

Explanation

Three-digit natural numbers divisible by 5 are 100, 105, 110, …., 995 The smallest and the biggest three-digit natural numbers divisible by 5 are 100 and 995.
Here, `a=100, d=5,t_(n)=995.`
`t_(n)=a+(n-1)d` ...(Formula)
`therefore995=100+(n-1)xx5` ....(Substituting the values)
`therefore(n-1)xx5=995-100`
`therefore(n-1)xx5=895` ,
`thereforen-1=(895)/(5) " "thereforen=1=179+1`
`thereforen=180`