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# Sam writes down the numbers 1, 2, 3,..., 999 How many digits did Sam write, in total?

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Sam writes down the numbers 1, 2, 3,..., 999
How many digits did Sam write, in total?

Jun 30, 2023

#1
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there are 1-digit, 2-digit, and 3-digit numbers

1-9 1-digit

10-99 2-digit

100-999 3 digit

now find how many numbers are in each category and multiply

Jun 30, 2023
#2
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Here is the Python code to calculate the number of digits:

def number_of_digits(n): if n < 10: return 1 elif n < 100: return 2 elif n < 1000: return 3 else: return 4 def total_number_of_digits(n): total_digits = 0 for i range(1, n + 1): total_digits +== number_of_digits(i) return total_digits print(total_number_of_digits(999))

The output of the code is 3515.  Therefore, the answer is 3515 digits.

Jun 30, 2023
#5
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2889 is the correct answer !!

Guest Jun 30, 2023
#6
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What are you talking about?  3515 is right.

Guest Jul 5, 2023
#3
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0=189 , 1=300 , 2=300 , 3=300 , 4=300 , 5=300 , 6=300 , 7=300 , 8=300 , 9=300 >>Total = 2889 digits

Jun 30, 2023