Question

how many 3 digit numbers are divisible by 3?​

Answer 1

Answer:

300

Step-by-step explanation:

To check that the number is divisible by 3

• Find the sum of the digits of the number
• Check whether the sum is divisible by 3. If the sum is divisible by 3, then the number is divisible by 3

First three digit number divisible by 3 = 102

Last three digit number divisible by 3 = 999

let first term, a = 102

and last term, L = 999

We know that

L = a + (n-1) d

=> 999 = 102 + (n - 1)3 {d = 3}

=> 999 = 102 + 3n - 3

=> 3n = 999 - 99

=> 3n = 900

=> n = 900/3

=> n = 300

➪ 300 three digit numbers are divisible by 3