On this page, we will discuss all about Four-Digit Numbers such as writing them in numerals and words. Check out how 4 digit numbers can be written both in short form and expanded form in the later sections. Refer to the solved examples on writing four-digit numbers in both numerals and words. Go through the complete article to have a complete idea of the entire concept of four-digit numbers.

Also, Read: Reading and Writing Large Numbers

# Four Digit Numbers – Definition

Four Digit Numbers have four digits. Digits are positioned from right to left at one’s place, ten’s place, hundred’s place, and thousand’s place. The first four-digit number is 1000. The next 9000 numbers are all four-digit numbers, for example, 2465,6789, etc.

### How Four-Digit Numbers are Formed?

When we multiply a unit digit with 1000 four-digit numbers are formed. For every Four-Digit Number, the fourth digit from the left represents thousands places, the third digit represents hundreds, the second digit represents tens, and the first represents ones. we can have a four-digit number by adding one to the largest three-digit number. For example: 9834, 2753, 5900.

**For example: In the four-digit number 8673**

3 is at the unit/one’s place having its value 3 × 1 = 3

7 is at ten’s place having its value 7 × 10 = 70

6 is at hundred’s place having its value 6× 100 = 600

8 is at the thousand’s place having its value 8 × 1000 = 8000

So, 8673 = 8000 + 600 + 70 + 3

8673 is the short form whereas 8000 + 600 + 70 + 3 is the expanded form.

It is read as **‘Eight Thousand Six Hundred Seventy-Three’**.

A comma is marked in Four-digit numbers in numerals before writing the three digits from the right. The digit of thousands is at the left. Since Four-Digit Numbers are longer, the comma helps us to make the number more readable.

As in 7682, a comma is marked before 682, the only digit left is 7, whose value is 7000. The number will be written in numerals as 7682 and written in words as seven thousand six hundred eighty-two.

We can write Four-digit numbers in three ways i.e., numbers in numerals, numbers in words, and numbers in expanded form.

Consider an example 5678 and see how we can write numbers in numerals, numbers in words, and numbers in expanded form.

Number in numerals: 5,678

Number in words: Five thousand six hundred seventy-eight

Numbers in Expanded Form: 5000 + 600 + 70 + 8

### 4-Digit Numbers in Numerals and Words Examples

Some examples of four-digit numbers in numerals and words and in expanded form are given below

(i) 5,847

5847 in words – Five thousand eight hundred forty seven

5847 in Expanded Form – 5000 + 800 + 40 + 7

(ii) 6,234

6234 in words: Six thousand two hundred thirty four

6234 in expanded form: 6000 + 200 + 30 + 4

(iii) 9,163

9163 in words: Nine thousand one hundred sixty three

9163 in expanded form: 9000 + 100 + 60 + 3

(iv) 2,645

2645 in words: Two thousand six hundred forty five

2645 in expanded form: 2000 + 600 + 40 + 5

(v) 9,999

9999 in words: Nine thousand nine hundred ninety nine

9999 in expanded form: 9000 + 900 + 90 + 9

(vi) 8,003

8003 in words: Eight thousand and three

8003 in expanded form: 8000 + 000 + 00 + 3

(vii) 6,302

6302 in words: Six thousand three hundred two

6302 in expanded form: 6000 + 300 + 00 + 2

(viii) 2,541

2541 in words: Two thousand five hundred forty one

2541 in expanded form: 2000 + 500 + 40 + 1

(ix) 7,301

7301 in words: Seven thousand three hundred one

7301 in expanded form: 7000 + 300 + 00 + 1

(x) 1,738

1738 in words: one thousand seven hundred thirty eight

1738 in expanded form: 1000 + 700 + 30 + 8

(xi) 3,001

3001 in words: Three thousand and one

3001 in expanded form: 3000 + 000 + 00 + 1

(xii) 5,005

5005 in words: Five thousand and Five

5005 in expanded form: 5000 + 000 + 00 + 5

(xiii) 1,405

1405 in words: One thousand four hundred five

1405 in expanded form: 1000 + 400 + 5

(xiv) 3,333

3333 in words: Three thousand three hundred thirty three

3333 in expanded form: 3000 + 300 + 30 + 3

(xv) 6,724

6724 in words: Six thousand seven hundred twenty four

6724 in expanded form: 6000 + 700 + 20 + 4

(xvi) 8,888

8888 in words: Eight thousand eight hundred eighty eight

8888 in expanded form: 8000 + 800 + 80 + 8

These are the examples of four digits written and explained on how to identify the place value in a four-digit number in numerals, words and in expanded form.

### FAQ’s on Four Digit Numbers

**1. What is the expanded form of 6789?**

The expanded form of 6789 is 6000+700+80+9.

**2. How four-digit numbers are formed?**

Four-digit numbers are formed by multiplying 1000 with units digit.

**3. What is the place value or face value of 7 in 9786?**

Face value or place value of 7 in 9786 is hundred.

**4. What is the greatest four-digit number?**

The greatest four-digit number is 9999.

**5. What is the smallest four-digit number?**

The smallest four-digit number is 1000.