How Many 3 -Digit Numbers are There

Introduction:

As we know, any number is said to be a three-digit number if it consists of only three digits. We know that the smallest three-digit number is 100, and the largest three-digit number is 999. The place value of its digits will describe a three-digit number. We already know that there are nine single-digit numbers, i.e., 1, 2, 3, 4, 5, 6, 7, 8, 9. A two-digit number is formed using a zero (0) and a single digit. Similarly, the three-digit numbers are also formed using these single and double digits along with zero (0). For example, 715 is a three-digit number.

Place Value of 3-Digit Numbers

Every three-digit number’s value can be found by checking the place value of each digit.

Let us consider the number 654. The first digit in the rightmost position is said to be the unit's place, so that it will be multiplied by 1.

Hence, the product is

4\times 1=4.

Then the second number is 5, which is in the tens place, multiplied by 10. Therefore, the value is

5\times 10=50

The third number, 6, is in the hundreds place. So it is multiplied by 100, and its value is.

6\times100=600

Therefore, the number is

600+50+4=654

Expanded Form of Three digits

The three-digits numbers say XYZ, which can be expanded in the form of :

XYZ=X\times100 +Y\times10 + X\times1

Where X, Y, Z are the three digits.

Thus, through this expansion, we can determine the place value of the digits.

• X is in hundreds of places.

• Y is at the tens place.

• Z is at one's place.

Example:

354=3\times 100 +5\times 10 + 4\times1

Operations on 3-digit numbers

The four arithmetic operations of addition, subtraction, multiplication, and division can be conveniently performed across three-digit numbers.

1. The addition of two three-digit numbers is not always a three-digit number.

Example: 890+990=1880.

2. Subtraction of 2 three-digit numbers may or may not be a three-digit number.

Example: 500-450=50,500-200=300.

Multiplication of two three-digit numbers always results in more than a three-digit number.

Example:

222\times 111= 24642

4. Division of 2 three-digit numbers will result in a value having less than a three-digit number.

Example: 444/111 = 4

Notes

• There are a total of 900 three-digit numbers. These include the smallest three-digit number, 100, and the largest three-digit number, 999.

• The largest three-digit number is 999.

• The smallest three-digit number is 100.

• There are a total of 900 three-digit numbers. Of these, half are even numbers, and

• The remaining half is odd numbers, i.e. 900/2 = 450; even three-digit numbers are there.

• The smallest three-digit number divisible by 3 is 102 because 102/3=34.