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📅 May 5, 2026 👤 scraface

May 05, 2026

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How many positive 4-digit numbers are divisible by 5?
A 4-digit number ranges from 1000 to 9999. A number divisible by 5 end...
Find the smallest and largest 4-digit numbers divisible by 5:
Smallest: 1000 (divisible by 5)
Largest: 9995 (since 9999 is not divisible by 5, subtract 4 to get 999...
These numbers form an arithmetic sequence where \(a = 1000\), \(l = 99...
The number of terms \(n\) is given by the formula for the \(n\)-th ter...
l = a + (n-1) \cdot d \implies 9995 = 1000 + (n-1) \cdot 5
= (n-1) \cdot 5 \implies n-1 = 1799 \implies n = 1800
There are \(\boxed{1800}\) positive 4-digit numbers divisible by 5.

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