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:
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
Related Articles
- Digits
- Numbers In Words
- Natural Numbers
- Whole Numbers
- Counting Numbers
Frequently Asked Questions on Three Digits Numbers
Q1
Which is the smallest 3-digit number?
The smallest 3-digit number is 100 (Hundred).
Q2
Which is the largest 3-digit number?
The largest 3-digit number is 999 (Nine hundred ninety-nine).
Q3
What is an example of a 3-digit number?
An example of a three-digit number is 721.
Q4
How many three-digit numbers are there?
There is a total of 900 three-digit numbers.
FAQs
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. Hence, there are 900 three-digit numbers in total.
How many 3-digit numbers are there from 100 to 999? ›
Hence, there are 899 + 1 $=900$ numbers of three digit. Hence, the answer is 900. Hence, 999 is the ${{900}^{th}}$ term of the sequence i.e. there are 900 three digit numbers. One may go wrong if he/she tries to find the total numbers from 100 to 999 by just subtracting 100 and 999.
How many combinations of 3 numbers are there that go up to 999? ›
How many possible combinations are there on a combination lock with three dials each having numbers 0 through 9? 000 to 999 inclusive so 10^3 or 1000 possibilities.
How many natural numbers are there between 100 and 999? ›
There are 900 numbers between 100 and 999 (with 100 and 999 included). ,as the series from 101 to 200=100 and 201 to 300 =100… like 801 to 900=100..so this makes 800 and we add 98 to get 898.
How many integers from 100 to 999 inclusive have three different digits? ›
Answer: there are 648 numbers between 100 and 999 in which all three digits are different.
How many even numbers are there from 100 to 999? ›
So, there are 450 even integers between 100 and 999 and hence 450 integers between 100 and 999 can be divided by 2.
How many numbers in the range 100 999 have no repeated digits? ›
There are 5 choices for the ones digit, then 8 choices for the hundreds digit, and finally 8 choices for the tens digit. So by the multiplication rule there are 8 ∗ 8 ∗ 5 = 320 odd numbers in this range with no repeated digits.
How many times does the digit 9 occur in the numbers from 100 to 999? ›
Detailed Solution
109,119,129,139,149,159,169, 179, 189, 190,191, 192, 193 194, 195 , 196, 197 , 198, 199. ∴ 280 times the digit 9 occurs in the numbers from 100 to 999.
How many zeros are there from 100 to 999? ›
* In the ones place, there are 90 zeroes, since there are 90 numbers between 100 and 999 that end in 00. * In the tens place, there are 180 zeroes, since there are 180 numbers between 100 and 999 that have a 0 in the tens place. So, the total number of zeroes is 90 + 180 = 270.
What is the trick for 999 in math? ›
For example, to multiply by 99, multiply by 100 and then subtract the number: 23·99 = 2300 - 23 = 2277. To multiply by 999, multiply by 1000 and subtract the number from the product: 23·999 = 23000 - 23 = 22977.
Now, the first box i.e. hundreds places can be filled by 8 ways. Hence, the second box i.e. the tens place can be filled by 8 ways. Hence there are 320 such numbers between 100 and 999 which are odd and have distinct digits.
What are all the possible 3 digit combinations? ›
There are 504 different 3-digit numbers which can be formed from numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 if no repetition is allowed. Note: We can also use the multiplication principle to answer this question.
How many numbers are there between 101 and 999 that are divisible? ›
Solution: Numbers that are divisible by 2 and 5 are likewise divisible by 10. Now, the numbers divisible by 10 integers between 101 and 999 are 110, 120, 130,…, 990. Hence, there are 89 numbers between 101 and 999 which are divisible by both 2 and 5.
How many three-digit numbers are there from 100 to 999? ›
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. Hence, there are 900 three-digit numbers in total.
How many 3 digit integers numbers between 100 999 inclusive are divisible by 5? ›
By Theorem 9.1. 1 the total number of integers from 100 through 999 is 999 – 100 + 1 = 900. By part (a), 180 of these are divisible by 5.
How many integers in the set 100 to 999 have at least one digit repeated? ›
∴ There will be 252 integers with at least one digit repetition.
How many times does the digit 3 appears from 100 to 1000? ›
Therefore, the number of times 3 appears in these 8 numbers is 16. Thus, using the 7 cases, we get the number of the digit 3 comes in the numbers 100 to 999 as \[3 + 81 + 72 + 72 + 18 + 18 + 16 = 280\]. The four digit number 1000 has no digit 3.
How many 3-digit numbers can be formed by using the digits 1 to 9? ›
⇒So, the required number of ways in which three-digit numbers can be formed from the given digits is 9×8×7=504.
