How many times digit 3 appear in the counting from 1 to 1000?

The digit 3 can appear in three different positions: units place, tens place, and hundreds place. Each position is counted separately.

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In the units place, the digit 3 appears in: 3, 13, 23, 33, 43, 53, 63, 73, 83, 93

This pattern occurs 10 times within each group of 100 numbers.

From 1 to 1000, there are 10 complete groups of 100.

Total 3's in units place $= 10 \times 10 = 100$

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In the tens place, the digit 3 appears in: 30, 31, 32, 33, 34, 35, 36, 37, 38, 39

This pattern occurs once in each group of 100 numbers (130-139, 230-239, 330-339, etc.)

Each occurrence contains 10 numbers.

Total 3's in tens place $= 10 \times 10 = 100$

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In the hundreds place, the digit 3 appears in all numbers from 300 to 399.

This gives 100 consecutive numbers.

Total 3's in hundreds place $= 100$

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The number 1000 contains no digit 3.

Total appearances $= 100 + 100 + 100$

Total appearances $= 300$

Therefore, the digit 3 appears 300 times when counting from 1 to 1000.