Counting Number 3 in Unit's Place (1-100)

The question asks us to find out how many times the digit 3 appears in the unit's place for numbers in the range from 1 to 100.

The unit's place is the rightmost digit in a whole number. For example, in the number 43, the unit's place is 3, and in the number 57, the unit's place is 7.

We need to list all the numbers between 1 and 100 (inclusive) that have the digit 3 exactly in their unit's place. These are numbers that end with the digit 3.

Listing Numbers with 3 in the Unit's Place

Let's list the numbers from 1 to 100 that have 3 in their unit's place:

• 3 (unit's place is 3)
• 13 (unit's place is 3)
• 23 (unit's place is 3)
• 33 (unit's place is 3)
• 43 (unit's place is 3)
• 53 (unit's place is 3)
• 63 (unit's place is 3)
• 73 (unit's place is 3)
• 83 (unit's place is 3)
• 93 (unit's place is 3)

These are all the numbers up to 100 that end with the digit 3.

Counting the Occurrences

Now, let's count the total number of items in the list above.

There are 10 numbers in this list. Each of these numbers has 3 in its unit's place within the range of 1 to 100.

Conclusion on Unit's Place Occurrence of 3

Therefore, the digit 3 occurs 10 times in the unit's place for numbers ranging from 1 to 100.

Revision Table: Number 3 Occurrence

Additional Information: Counting Digits

Counting the occurrences of a specific digit within a range of numbers is a common type of problem. The method depends on the place value you are interested in (unit's place, ten's place, etc.) and the specific digit.

For example, to count the number of times the digit '3' appears in the ten's place for numbers from 1 to 100, we would look at numbers from 30 to 39 (30, 31, 32, 33, 34, 35, 36, 37, 38, 39). There are 10 such numbers where 3 is in the ten's place.

For the unit's place, as shown above, the count is determined by how many multiples of 10 plus 3 fall within the range.