Digit counting (1–100): Determine the frequency of a specific digit in a range. Write all integers from 1 to 100 inclusive. How many times does the digit 3 appear across all these numbers? Choose the correct value.

Approach Count occurrences in the tens place and in the ones place separately.

Step-by-step counting Tens place: 30–39 ⇒ 10 occurrences. Ones place: numbers ending in 3 ⇒ 3, 13, 23, 33, 43, 53, 63, 73, 83, 93 ⇒ 10 occurrences. Total occurrences = 10 + 10 = 20 (33 contributes twice, once for each place).