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Home » \[ U(t) \approx 156,921 \] - SUpost

\[ U(t) \approx 156,921 \] - SUpost

📅 July 5, 2026 👤 scraface

Jul 05, 2026

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Thus, the average length is $ \boxed{6} $
Question: How many positive 4-digit numbers are divisible by 11?
Solution: The smallest 4-digit number is 1000, and the largest is 9999...
We find the smallest 4-digit number divisible by 11 by dividing 1000 b...
\left\lceil \frac{1000}{11} \right\rceil = \left\lceil 90.91 \right\rc...
So the smallest 4-digit number divisible by 11 is $ 11 \times 91 = 100...
Now, divide 9999 by 11 to find the largest:
\left\lfloor \frac{9999}{11} \right\rfloor = \left\lfloor 909 \right\r...
So the largest 4-digit number divisible by 11 is $ 11 \times 909 = 999...
The total number of such numbers is:

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