A community for students.
Here's the question you clicked on:
 0 viewing
rvc
 one year ago
Hom many nonnegative integers less than 10,000 are there such that the sum of the digits of the number is divisible by 3?
rvc
 one year ago
Hom many nonnegative integers less than 10,000 are there such that the sum of the digits of the number is divisible by 3?

This Question is Closed

rvc
 one year ago
Best ResponseYou've already chosen the best response.1The options are A. 1112 B. 2213 C. 2223 D. 3334

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.1Hint: If a number is divisible by 3, the sum of its digits are divisible by 3 and the other way round works too.

rvc
 one year ago
Best ResponseYou've already chosen the best response.1i know that but how will i find the sum?

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.1I was hoping you'd figure it out yourself. Solve 3k<=10,000 for k, with k a natural number.

rvc
 one year ago
Best ResponseYou've already chosen the best response.1Ah i have to solve 3k=10,000?

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.1Yeah that's why I put the inferior sign, round it to the inferior natural number.

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1well sum of the digits divisible by 3 means the number itself divisible by 3

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0does it includes 0

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1so 3,6,9,.......,9,999 all are divisible by 3 and there sum of digits is divisible by 3 as well

math&ing001
 one year ago
Best ResponseYou've already chosen the best response.1Here's an example 18 is divisible by 3 : 1+8 = 9 is divisible by 3.

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1:) so u can count them now ?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0read the divisiblity for 3 here https://en.wikipedia.org/wiki/Divisibility_rule

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1here is a trick 3,6,9,.......,9,999 = 3*(1,2,3,......,1111)

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1ps: dont forget the zero ;)

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.0actually that equals 3333 from \(3,6,\cdots\ 9999\)

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1oh sorry i made a typo :P

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1so it would be 3333+(Zero count 1)=3334

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1it says sum of digits divisible by 3 not equal 3 30

rvc
 one year ago
Best ResponseYou've already chosen the best response.1ikky i get ur explanation 3(1,2...) 3k

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1so now u can count them ?

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1i made a typo first here 3,6,9,.......,9,999 = 3*(1,2,3,......,3333)

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1and dont forget to add the zero :D

rvc
 one year ago
Best ResponseYou've already chosen the best response.1Thank you so much to @ikram002p @Loser66 @mathmath333 @math&ing001 and that unknown user(i know who is it)

ikram002p
 one year ago
Best ResponseYou've already chosen the best response.1you are the most welcome ;)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.