The number of times the digit 5 will be writt | vedclass

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(C) To find the number of times the digit $5$ appears in integers from $1$ to $1000$,we consider numbers from $000$ to $999$ (since $000$ to $099$ cov

Vedclass · Accepted Answer

$300$

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(C) To find the number of times the digit $5$ appears in integers from $1$ to $1000$,we consider numbers from $000$ to $999$ (since $000$ to $099$ covers $1$ to $99$ and $1000$ contains no $5$).Each position (units,tens,hundreds) can take a value from $0$ to $9$. There are $1000$ such numbers,each having $3$ digits,making a total of $3000$ digits.Since each digit from $0$ to $9$ appears an equal number of times in the set of numbers from $000$ to $999$,the digit $5$ appears $3000 / 10 = 300$ times.Thus,the digit $5$ is written $300$ times.

The number of times the digit $5$ will be written when listing the integers from $1$ to $1000$ is

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