Three digits numbers start from 100 and end at 999. So, the smallest three-digit number is 100 and the largest 3-digit number is 999. In Maths, the number is defined by the number of digits it has. A three-digit number will be described by the place values of its digits. As we know, there are nine single-digit numbers, i.e., 1, 2, 3, 4, 5, 6, 7, 8, 9, and ninety two-digits numbers (from 10 to 99). A two-digit number is formed using zero (0) along with a single digit. Now, the three-digit numbers are also formed using these single digits or double digits, along with using zero (0). For example, 809 is a three-digit number, where the place value of 9 is ones, 0 is tens and 8 is hundreds.
List of Three Digits Numbers
As we already discussed, the three digits numbers are from 100 (hundred) to 999 (nine hundred ninety-nine). Before we see the list of three digits numbers, first let us discuss how many three digits numbers we have from 100 to 999.
Since, 99 + 1 = 100
And
1000 – 1 = 999
Count of Numbers from 1 to 1000 = 1000
Now excluding single digits, two-digit numbers and 1000 (a four-digit number) from the list of numbers of 1 to 1000, we are left with:
1000 – 99 – 1 = 900
Hence, there are 900 three-digit numbers in total.
Numbers up to 3-digits are provided here in the below table.
| 100 – 199 | 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, ……., 198, 199 |
| 200 – 299 | 200, 201, ….., 210, ….., 221, ….., 231, ….., 241, …, 251, …, 261, …., 271,…., 281, …., 291,…, 299 |
| 300 – 399 | 300, 301, 302, 303, ……., 398, 399 |
| 400 – 499 | 400, 401, 402, 403, ……., 498, 499 |
| 500 – 599 | 500, 501, 502, 503, ……., 598, 599 |
| 600 – 699 | 600, 601, 602, 603, ……., 698, 699 |
| 700 – 799 | 700, 701, 702, 703, ……., 798, 799 |
| 800 – 899 | 800, 801, 802, 803, ……., 898, 899 |
| 900 – 999 | 900, 901, 902, 903, …….., 989, 999 |
Place Value of Three-digit Numbers
Each digit, in a three-digit number, has its place value. This place value basically represents the location or position of the digit in a number. The position of the digits helps us to determine the value of a number. The digit at the right-most place in a three-digit number is said to be at one’s place or unit place, the middle digit is at ten’s place and the left-most digit is at hundred’s place.
| Three Digits Numbers Place Values | ||
|---|---|---|
| Hundreds | Tens | Ones |
| Digit – 1 | Digit – 2 | Digit – 3 |
For example, in the number 342, the place values of all the three digits are:
| Hundreds | Tens | Ones |
| 3 | 4 | 2 |
Expanded Form of Three Digits Numbers
The three digits numbers say ABC, can be expanded in the form of:
ABC = A x 100 + B x 10 + C x 1
Where A, B and C are the three digits.
Thus, by this expansion, we can also determine the place value of the digits.
- A is at hundred place
- B is at tens place
- C is at ones place
Examples are given below to make you understand better.
- 202 = 200 x 100 + 0 x 10 + 2 x 1
- 421 = 4 x 100 + 2 x 10 + 1 x 1
- 666 = 6 x 100 + 6 x 10 + 6 x 1
- 745 = 7 x 100 + 4 x 10 + 5 x 1
Operations on Three Digits Numbers
We can perform all four arithmetic operations on a three-digit number. We should notice the below-given points while adding, subtracting, multiplying and dividing the three-digit numbers.
- Addition of two three-digit numbers is not always a three-digit number (Eg. 333 + 111 = 444 but 889 + 123 = 1012)
- Subtraction of two 3-digits numbers may or may not result in a 3-digit number (Eg. 333 – 312 = 21 and 333 – 111 = 222)
- Multiplication of two 3-digit numbers results in value having digits more than three (333 x 111 = 36963)
- Division of two 3-digit numbers will result in a value having digits less than three (333/111 = 3)
Video Lesson on Numbers
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Frequently Asked Questions on Three Digits Numbers
Which is the smallest 3-digit number?
The smallest 3-digit number is 100 (Hundred).
Which is the largest 3-digit number?
The largest 3-digit number is 999 (Nine hundred ninety-nine).
What is an example of a 3-digit number?
An example of a three-digit number is 721.
How many three-digit numbers are there?
There is a total of 900 three-digit numbers.
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