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.