MathYouLike MathYouLike
  • Toggle menubar
  • Toggle fullscreen
  • Toggle Search
  •    Sign up
  • QUESTIONS
  • TAGS
  • USERS
  • BADGES
  • UNANSWERD
  • ASK A QUESTION
  • BLOG
...

Summer Clouds moderators

11/10/2017 at 14:55
Answers
6
Follow

What is the sum of the digits from $1-100$?




    List of answers
  • ...
    ForOver Coordinator 11/10/2017 at 16:29

    The sum of the digits 0-9 : 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9, which equals 45.

    Next, the sum of the digits of the numbers 10-19 : \(\left(10\cdot1\right)+\left(0+1+...+9\right)\)

    Then, the sum of the digits of the numbers 20-29 : \(\left(10\cdot2\right)+\left(0+1+2+...+9\right)\)

    So we have this expression :

    (0 + 1 +...+ 9) - The numbers 0-9

    \(10\cdot1+\left(0+1+...+9\right)\)- The numbers 10-19

    \(10\cdot2+\left(0+1+...+9\right)\)- The numbers 20-29

    \(10\cdot3+\left(0+1+...+9\right)\)- The numbers 30-39

    \(10\cdot4+\left(0+1+...+9\right)\) -The numbers 40-49

    \(10\cdot5+\left(0+1+...+9\right)\) -The numbers 50-59

    \(10\cdot6+\left(0+1+...+9\right)\) -The numbers 60-69

    \(10\cdot7+\left(0+1+...+9\right)\) -The numbers 70-79

    \(10\cdot8+\left(0+1+...+9\right)\) -The numbers 80-89

    \(10\cdot9+\left(0+1+...+9\right)\)  - The numbers 90-99.

    Calculate all of these expressions we have the sum of the digits from 1-99 is 900.

    So the sum of the digits from 1 - 100 is 900 + 0 + 0 + 1 = 901.

    Answer : 901.

    Selected by MathYouLike
  • ...
    Help you solve math 11/10/2017 at 15:28

    We have:

    (100 - 1) : 1 + 1 = 100 (numbers)

    => (100 + 1) x 100 : 2 = 5050

    Answer : 5050

  • ...
    DETECVITE CONAN 11/10/2017 at 16:00

    The number of digits from 1-100 is:

    (100-1):1+1=100(number)

    the sum of the digits from $1-100$ is:

    (100+1)x100:2= 5050

    Answer: 5050

  • ...
    Lê Quốc Trần Anh Coordinator 11/10/2017 at 16:44

    Oh! Sorry because I didn't read the question carefully. Thank ForOver.

  • ...
    ForOver Coordinator 11/10/2017 at 16:42

    Hey guy (LeQuocTranAnh), the question asked the sum of the digits not numbers.

    I think you've wrong in reading thread :<

  • ...
    Lê Quốc Trần Anh Coordinator 11/10/2017 at 16:40

    The numbers in the sum is: 100-1+1 = 100 (numbers)

    So the sum is: \(100\left(100+1\right):2=5050\)

    So the answer is: 5050 (ForOver is wrong)


Post your answer

Please help Summer Clouds to solve this problem!



Weekly ranking


© HCEM 10.1.29.225
Crafted with by HCEM