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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
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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
is:
(100+1)x100:2= 5050
Answer: 5050
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Oh! Sorry because I didn't read the question carefully. Thank ForOver.
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Hey guy (LeQuocTranAnh), the question asked the sum of the digits not numbers.
I think you've wrong in reading thread :<
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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)