# Numbers up to 4-Digits - Decompose, Tips and tricks | 4 Digit Numbers (2023)

The 4-digit number series begins with the number 1,000 and ends with the number 9,999. 4-digit numbers are the numbers having 4-digits and we can form 4-digit numbers by using any digits from 0-9, but the number should begin with digit 1 or a number greater than 1. Numbers are categorized according to the number of digits that they have and the place value of a number helps in understanding the value of each digit.

 1 What are 4-Digit Numbers? 2 How to Write Numbers up to 4-Digits? 3 How to Decompose Numbers up to 4-Digits? 4 Tips and Tricks on Numbers up to 4-Digits 5 FAQs on Numbers up to 4-Digits

## What are 4-Digit Numbers?

4-digit numbers are those numbers that consist of only 4 digits in which the first digit should be 1 or greater than 1 and the rest of the digits can be any number between 0 and 9. For example, 5693, 1023, and 9825 are four-digit numbers.

## How to Write Numbers up to 4-Digits?

4-digit numbers are written or read according to the place values of the digits. In 4 digit numbers, the four digits correspond to the four place values - ones, tens, hundreds, and thousands. When a number is written in standard form, each group of digits is separated by a comma which forms a period. The first period which is known as the 'ones period' is formed with the first three digits of the number, when counted from the right hand side. It should be noted that the placement of commas starts with 4 digit numbers. We put a comma just before the hundreds place because the first-period (ones) ends and the second period of thousands begins. For example, 3210 is a 4-digit number and after placing the comma, it is written as 3,210.

(Video) Composing Numbers & Decomposing Numbers! | Mini Math Movies | Scratch Garden

The smallest 4-digit number is 1,000 and the largest 4-digit number is 9,999, and there are a total of 9000 numbers from 1000 to 9999. We can make many four-digit numbers by using digits from 0 to 9 but we need to remember that the thousands place in a 4-digit number should not be 0. For example, 0875 is not a four-digit number, the number is considered as a three-digit number, that is, 875.

4-digit numbers can be written in three forms, i.e., in the numeral form, in words, and in the expanded form. For example, 2345 is a 4-digit number. In the numeral form, it is written as 2,345. In words, it is written as: Two thousand three hundred forty-five. In the expanded form it is written as: 2000 + 300 + 40 + 5, or, 2 thousands + 3 hundreds + 4 tens + 5 ones.

## How to Decompose Numbers up to 4-Digits?

As already discussed above, a 4 digit number has the following place values - Thousands, Hundreds, Tens, and Ones. To decompose 4-digit numbers we multiply each digit of the 4-digit number with its value, that is, 1000, 100, 10, and 1 respectively. For example, the given 4-digit number 5627 can be decomposed as follows:

• 5 is at thousands place and its place value is 5 × 1000 = 5000
• 6 is at hundreds place and its place value is 6 × 100 = 600
• 2 is at tens place and its place value is 2 × 10 = 20
• 7 is at ones place and its place value is 7 × 1 = 7

So, the expanded form of 5627 = 5000 + 600 + 20 + 7

(Video) How to Decompose Numbers : Math Tips

Observe the following figure which shows how to write a 4-digit number according to its place values. In this case, we have taken the example of a 4-digit number: 4,123. Here, 4 is written at the thousands place, 1 is written at the hundreds place, 2 is written at the tens place and 3 is written at ones place.

## Tips and Tricks on Numbers up to 4-Digits

Given below are some of the tips and tricks on numbers up to 4 digits that can help while solving problems related to these numbers.

• When any one-digit number (from 1 to 9) is multiplied by 1000, the resultant number is a 4-digit number. For example, 5 × 1000 = 5,000
• When any two-digit number is multiplied by 100, the resultant number is a 4-digit number. For example, 44 × 100 = 4,400
• When any three-digit number is multiplied by 10, the resultant number is a 4-digit number. For example, 678 × 10 = 6,780
• When any four-digit number is multiplied by 1, the resultant number is a 4-digit number. For example, 2345 × 1 = 2345
• The smallest four-digit number, using all different digits, is 1023.
• The smallest four-digit number, using only one digit is 1,111.
• The smallest four-digit number, using two different digits is 1,000. (1,000 is the least four-digit number too).
• The greatest four-digit number, using only one digit is 9,999 (9,999 is the greatest four-digit number too).
• The greatest four-digit number, using two different digits is 9,998.
• The greatest four-digit number, using all different digits is 9,876.

Important Notes

(Video) Decomposing numbers in different ways-Grade 2

Given below are some important notes related to numbers up to 4-digits that we studied in this article.

• There are 4 numbers (any number from 0-9) in a 4-digit number and the starting number should be 1 or greater than 1.
• The thousands place in a 4-digit number cannot be 0.
• The smallest 4-digit number is 1000 and the greatest 4-digit number is 9999.
• There are 9000 four-digit numbers in all.

## Smallest 4 Digit Number

The smallest 4-digit number is 1000 because its predecessor is 999 which is a 3-digit number. 4-digit numbers start from 1000 and end on 9999.

## Greatest 4 Digit Number

The greatest 4-digit number is 9999 because its successor is 10000 which is a 5-digit number. 4-digit numbers start from 1000 and end on 9999.

☛ Related Articles

• Numbers Up to 2 Digits
• Numbers Up to 3 Digits
• Numbers Up to 5 Digits
• Numbers Up to 6 Digits
• Numbers Up to 7 Digits
• Numbers Up to 8 Digits
• Numbers Up to 9 Digits
• Numbers Up to 10 Digits

## FAQs on Numbers up to 4-Digits

### What are 4-Digit Numbers?

In simple words, a number with 4-digits is a 4 digit number. The first digit of a 4-digit number should be 1 or greater than one and the remaining digits can be any number from 0 to 9. Four-digit numbers start from 1000 and end at 9999. The place values in a 4 digit number, starting from the right, are ones, tens, hundreds, and thousands.

### What is the Largest 4-digit Number?

9,999 is the largest 4-digit number. We can read the number in words as nine thousand nine hundred ninety-nine. The number after 9,999 is 10,000 and it is a five-digit number, therefore, the largest 4-digit number is 9,999.

### What is the Smallest 4-digit Number?

1,000 is the smallest 4-digit number. We can read the number in words as one thousand. The number before 1,000 is 999 and it is a three-digit number, therefore, the smallest 4-digit number is 1,000.

### How many 4-digit Numbers are there?

There are 9000, 4-digit numbers, and they start from the number 1000 and end on the number 9,999.

(Video) COMPOSING AND DECOMPOSING NUMBERS | MATH I | Teacher Lee YT

### How to put a Comma in 4-Digit Numbers?

In 4 digit numbers, the 4th digit on the extreme left represents the thousands place. The comma in a 4-digit number is placed between the 4th digit and the 3rd digit, from the right, that is, in between the thousands place and the hundreds place. For example, the 4 digit number 3674 is written as 3,674.

### What are the Prime Factors of the Greatest 4 Digit Number?

The prime factors of the greatest 4-digit number, 9999 are 3, 11, and 101.

### Which is the Greatest 4 Digit number which is a Perfect Square?

The greatest 4-digit number which is a perfect square is 9801.

(Video) Decomposing a 4 digit number, How many hundreds?

## FAQs

### How do you decompose 4 digit numbers? ›

To decompose 4-digit numbers we multiply each digit of the 4-digit number with its value, that is, 1000, 100, 10, and 1 respectively. For example, the given 4-digit number 5627 can be decomposed as follows: 5 is at thousands place and its place value is 5 × 1000 = 5000.

How do you pick a 4 digit number trick? ›

Four Digit Number Trick. Take any four numbers (single digits) and add them together. Arrange the original four digits in any order to form a four digit number. Subtract the sum from this four-digit number, and you should get another four digit number.

How many possible combinations are there in a 4 digit code? ›

There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code.

How many 4 digit numbers with the digits 0 1 2 3 and 4 can be formed such that they are divisible by 4 repetition of digits is allowed? ›

What are some strategies to decompose numbers? ›

To decompose a number, you take the whole number and break it down into smaller parts. To decompose the number six, you can break it into smaller parts like 5 and 1 or 3 and 3. One math strategy you can use to show decomposition is a number bond. A number bond has a big circle and two smaller circles.

What are the odds of correctly guessing 4-digit number? ›

Thus, if you picked a 4-digit number randomly, you'd have a one in 10,000 chance of picking that number (or any other specific 4-digit number). You're right that what you want to calculate here is a permutation, not a "simple" (as you called it) combination.

What are the odds of correctly guessing a 4-digit PIN? ›

Research suggests thieves can guess one in five PINs by trying just three combinations. How easy would it be for a thief to guess your four-digit PIN? If he were forced to guess randomly, his odds of getting the correct number would be one in 10,000—or, if he has three tries, one in 3,333.

What's the most common 4 digit code? ›

A common PIN is a guessable PIN

The DataGenetics group found that the three most popular combinations—1234, 1111, and 0000—account for close to 20 percent of all four-digit passwords.

What are the most common 4 digit number combinations? ›

By the way, the most common four-digit PINs according to the study are: 1234, 0000, 2580, 1111 and 5555 (scroll down for a longer list) – 2580 is there because it is a vertical column on a numeric keypad.

How many combinations from 0000 to 9999? ›

Pin numbers for banks are generally 4 digits long and have the possible range of 0000 to 9999, which is a total of 10,000 possible combinations.

### How many 4 digit numbers can be formed using the digits 0 12345 which are divisible by 5 without repetition )? ›

Hence, total number of four digit numbers, without repetitions, which are divisible by 5 are 504+448=952.

How many 4 digit numbers can be made from 1 2 3 4? ›

\$\therefore \$Total number of ways to form 4-digit numbers from given digits = 580. Note: In these types of questions use the permutation concept.

How many four digit numbers can be formed from the digits 12345? ›

The number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated is 120.

What makes decomposition faster? ›

Factors like the temperature, weather, and moisture can greatly affect the speed of the human decomposition process. NIH states that exposure to elevated temperatures, increased humidity, and/or water can cause accelerated decomposition.

What is decomposition techniques? ›

Decomposition is a general approach to solving a problem by breaking it up into smaller ones and solving each of the smaller ones separately, either in parallel or sequentially. (When it is done sequentially, the advantage comes from the fact that problem complexity grows more than linearly.)

How do you decompose 512? ›

Factors of 512
1. Factors of 512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, and 512.
2. Prime Factorization of 512: 512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 29

What is the most common number to guess? ›

The most popular picks are in fact 69, 77 and 7 (in descending order). It's well known amongst purveyors of conjuring tricks and the like that if you ask people to pick a number between 1 and 10, far more people choose 7 than any other number.

What is the greatest 4 digit odd number without repetition? ›

Hence, Nine thousand nine hundred ninety-nine is the largest 4 digits odd number. Q. Find the difference between the smallest number of 7 digits and the largest number of 4 digits.

What are the odds of cracking a 4 digit code? ›

What are the odds of cracking a 4-digit code? A four digit code will have 10,000 possible answers. The odds of hitting the right code on a given try is 1 out of 10,000, or 0.0001, or you have a 0.01% chance of getting the right code.

What are the common PIN numbers to avoid? ›

Don't use a string of numbers like 1234 or 1111. These rank as the first and fourth most common iPhone PINs. Avoid your birth year — or any year from 1950 onward, says Joseph Bonneau of the University of Cambridge, who coauthored the British study. Avoid the last four digits of your Social Security number.

### What is 6174 called? ›

The number 6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar. This number is renowned for the following rule: Take any four-digit number, using at least two different digits (leading zeros are allowed).

How long does it take to crack a 4 digit PIN? ›

You have 9,999 guesses so if you are not logged out for too many tries and you could key in PINs starting with 0001 going all the way to 9999 at a rate of a PIN every 2 seconds then you are looking at about 5.5 hours to get to 9999. Chances are you would find the correct PIN before that.

What is the magic number rule? ›

The magic number in nuclear physics is defined as a number of nucleons consisting of either neutrons or protons separately arranged in a manner of complete shells within their atomic nucleus. Atomic nuclei consisting of a magic number of neutrons and protons are considered much more stable than any other nuclei.

What is the most magical number in math? ›

It is 1729. Discovered by mathemagician Srinivas Ramanujan, 1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers.

What is the greatest 4 digit digit number? ›

9999 is the largest 4 digit number.

What is the greatest 4 digit number using digit? ›

Therefore, 9999 is the largest 4 -digit number and it can be expressed as 3 2 × 11 × 101 . Q.

What are 4 digit codes? ›

Look for the 4-digit code printed on the front of your card just above and to the right of your main credit card number. This 4-digit code is your Card Security Code.

What's a good PIN number? ›

An 8- or 12-digit PIN is more secure than a traditional 4-digit number, but it's also harder to remember, unless it is already in your memory.

What is the hardest 4 digit combination? ›

What is the hardest 4 digit password?
RankPINFreq
#1123410.713%
#211116.016%
#300001.881%
#412121.197%

What are all the possible combinations of 4 numbers 1 to 6? ›

Answer and Explanation: There are 15 combinations of four numbers from the numbers 1 through 6.

### How many 4 digit combinations are there without repeating? ›

Hence total number of permutations = 9×504=4536.

How many combinations of 1234 are there? ›

How many possible combinations of 1234? If we are looking at the number of numbers we can create using the numbers 1, 2, 3, and 4, we can calculate that the following way: for each digit (thousands, hundreds, tens, ones), we have 4 choices of numbers. And so we can create 4×4×4×4=44=256 numbers.

How do you calculate the number of code combinations? ›

To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.

How many 4 digit numbers can be formed using the digits 0 1 2 3 4 5 if repetition of digits is allowed? ›

Hence the required number of numbers=5×6×6×1=180.

How many 4 digit numbers divisible by 5 can be formed with the digits 0 4 3 5 7 9? ›

Win over the concepts of Permutations and Combinations and get a step ahead with the preparations for Mathematics with Testbook.

Which 4 digit number is divisible by 2 but not by 4? ›

8026 is the number which is divisible by 2 but not 4.

How many 4 digit numbers can be formed from the digits? ›

For the first place, there are five choices (0,1,2,3, 4,5); Second place can then be filled in five ways ( 0 and remaining four-digits); Third place can be filled in four ways (remaining four-digits); Fourth place can be filled in three ways (remaining three-digits). ⇒300 four-digits numbers can be formed.

How many different 4 digit numbers greater than 5000 can be formed using the odd numbered digits? ›

So, total number of nos. Possible =4×5×4×3= 240. Q.

How many 4 digits numbers can be formed using 4 digits? ›

FOUR – DIGIT NUMBERS are the numbers that have four digits, i.e. they have ones, tens, hundreds and thousands places. In fact, to find the number of numbers between any two given numbers, we use the same formula. Therefore, there are 9000 four digit numbers in all.

How many 4 digit numbers can be formed with digits 1 2 3 4 5 6 when a digit may be repeated any number of times in any arrangement? ›

Hence, there are 936 4 digit numbers formed from 1, 2, 3, 4, 5, 6 with at least one digit repeating.

### How many four digit numbers can be formed from the digits 12345 6 7? ›

How do you decompose 44? ›

Another resource that we have used this year has been Decomposing Number Puzzles. These have helped students see how 44 is 40 + 4, which is also 30 + 14 and 30 + 10 + 4.

What is the decomposition of 42? ›

Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42.

How do you decompose 11 8? ›

11 ÷ 8 → Quotient of 1 and a remainder of 3.

How do you decompose 17? ›

We could use a part–whole model to show how we can decompose or split up the number 17. The whole amount is 17. And we can split this up into 10 ones, which is worth 10, and seven ones, which is worth seven. 10 and seven go together to make 17.

How do you decompose 81? ›

The prime factorization of 81 is given by 3 x 3 x 3 x 3.

How do you decompose 37? ›

Now the issue is “what's friendly?” Oftentimes, we start out with helping kids understand 37 as 30, three 10s, and then seven 1s. That is helpful, it's a big idea around place value, but decomposing numbers is so much more than breaking it apart at its place value.

How do you decompose 14? ›

Decomposing a Number Using Place Value Method

In this method, you separate a number into its tens and ones. So, 14 can be decomposed as 10 + 4. So, 19 can be decomposed as 10 + 9.

What is the decomposition of 396? ›

So, the prime factorization of 396 can be written as 22 × 32 × 111 where 2, 3, 11 are prime.

What is the decomposition of 45? ›

Important Notes: All the factors of 45 are 1, 3, 5, 9, 15, and 45. Prime factorization of 45 is 45 = 32 × 5.

### What is the decomposition of 140? ›

1 × 140, 2 × 70 , 4 × 35 , 5 × 28 , 7 × 20, 10 × 14 are the pairs that make 140 and they are all the factors of 140.

What is decomposing the number 9? ›

The number 9 can be decomposed into 9 and 0, 1 and 8, 2 and 7, 3 and 6, or 4 and 5.

## Videos

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