# What is the total number of 4-digit number?

Table of Contents

- 1 What is the total number of 4-digit number?
- 2 What is a 4-digit number divisible by 9?
- 3 How many times do we use 9 to write the numbers between 1 to 100?
- 4 How many 4 digit numbers have the sum equal to 9?
- 5 How does every number equal 9?
- 6 What is the multiples of 9?
- 7 What is the sum of all 4-digit numbers that sum 9?
- 8 How many numbers can be used to fill a place?

## What is the total number of 4-digit number?

9000 numbers

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.

## What is a 4-digit number divisible by 9?

Hence, the smallest 4-digit number divisible by 9 is 1008.

**How many 4-digit numbers are there such that sum of the digits is 10?**

There are 219 4-digit numbers whose sum of digits is 10.

**What is a digit sum of 9?**

Number | Repeating Cycle of Sum of Digits of Multiples |
---|---|

8 | {8,7,6,5,4,3,2,1,9} |

9 | {9,9,9,9,9,9,9,9,9} |

10 | {1,2,3,4,5,6,7,8,9} |

11 | {2,4,6,8,1,3,5,7,9} |

### How many times do we use 9 to write the numbers between 1 to 100?

Between 1 and 100, the digit 9 occurs in 9, 19, 29, 39, 49, 59, 69, 79, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98 and 99. ∴ The digit occurs 20 times between 1 and 100.

### How many 4 digit numbers have the sum equal to 9?

So there are 165 four-digit numbers with a digit-sum of 9.

**What is the largest 4 digit number divisible by 9?**

If you’re talking about positive whole numbers, then 9999 is the largest 4 digit number divisible by 9.

**How many numbers are there Atmost 4 digits whose sum of digits is Atmost 4?**

The hundreth position can also be filled with four digit(repetition being allowed). Similar with the tenth and the unit 4,4 possibilities. So 4*4*4*4=256.

#### How does every number equal 9?

9 is the highest single-digit number in the decimal system. That is, if any natural number is multiplied by 9, and the digits of the answer are repeatedly added until it is just one digit, the sum will be nine: 2 × 9 = 18 (1 + 8 = 9)

#### What is the multiples of 9?

The first ten multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90. For the tens places, note that the number 9 can be thought of as 0 tens and 9 ones so the tens place has a 0.

**What is the total number of possible nine digit numbers?**

Therefore, total number of possible nine digit numbers using different digits = (3628800 – 362880) = 3265920. In a positive number of two digits, the sum of the digits is 15. If the digits are interchanged, the number increases by 9. What is the number?

**How many values can be found in a 4 digit number?**

It is a standard problem based on a technique called Star and Bar method.consider 4 digits as 4 boxes which can hold values 0,1,2…,9.but since u are concerned strictly of 4 digit numbers u can have only 1 to 9 in the first box or the first digit.

## What is the sum of all 4-digit numbers that sum 9?

Counting the number of 4-digit numbers and sum 9 can be done using stars and bars really fast (this works because 9 is less than 10). There are 9 − 1 = 8 stars (the first number is at least 1) and 3 bars. Hence there are (8 + 3 3) = 11 ⋅ 10 ⋅ 9 3 ⋅ 2 = 11 ⋅ 5 ⋅ 3 = 165 such numbers.

## How many numbers can be used to fill a place?

Thousands place can be filled by 4 digits (2,4,6,8). Each of hundred, tens and units place can be filled by 5 digits (odd digits). Three of the four places (one of them being thousands place) can be filled by any of the 5 odd digits.