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# 4 Digit Smallest Number- Let’s Know it Better!

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## Introduction of Smallest 4 Digits Number

Digits are the single symbols used to address numbers in Math. Let's take an example, in numbers 89, 8, and 9 are two digits. Hence, the numerals like 0, 1, 2, 3, 4, 5, 6, 7, 8, and, 9, are the type of digits that are used to address a combination of numbers and do arithmetic tasks in our everyday life. For example, OTPs that we receive, passwords, pins, etc.

Digits

The term digits are generally used in computer science. In mathematics, these digits are supposed to be mathematical or, in some cases, simply numbers. The smallest one-digit number is 1 and the most significant one-digit number is 9.

## What is the Smallest 4 Digit Number?

The smallest 4-digit number is 1000. The smallest 4-digit number in the number system is 1000 since, in such a case that 1 is subtracted from the number it becomes a 3-digit number which is 999 (greatest three-digit number). So, we 1000 is the smallest 4-digit number in the number system.

Thus, the smallest four-digit number in the number system= 1000

= 1000 - 1

= 999 (which is the greatest 3-digit number)

So, 1000 is the smallest four-digit number.

## What is the Smallest 4 Digit Odd Number?

The smallest 4-digit odd number in the number system is 1001. As we know that in the number system the smallest four-digit number is 1000 which is an even number, So we need to find the smallest four-digit odd number.

So, if we observe 1000 is an even number and 1000 - 1 = 999, which is a three-digit number, we need to see by adding 1 to 1000, Let’s see

Here, 1000 + 1 = 1001, we can see that 1001 is a four-digit number, the smallest after 1000 as well as an odd number which we are looking for.

So, here we proved that 1001 is the smallest four-digit odd number.

Smallest 4 Digit Number

## What is the Smallest 4 Digit Even Number?

The smallest 4-digit even number in the number system is 1000. Earlier, we saw that in the number system the smallest four-digit number is 1000 which is an even number, So if we look at how 1000 is the smallest 4 digit even number we find that,

1000 is an even number and 1000 - 1 = 999, which is a three-digit number and an odd number, so if we add 1 to 1000 it becomes an odd number and greater than 1000.

Here, we can see that 1001 is a four-digit odd number but 1000 is the smallest 4-digit even number.

## Solved Examples

1. Write numerals of the following-

a. Six thousand two hundred seventy-six
b. Four thousand eight hundred seventy-seven

Ans:

a. 6276

b. 4877

2. Complete the counting-

a. 3758,___,___,____,3762,___,___,3765,3766
b. 1200,1201,___,___,___,1205

Ans:

a. 3758,3759,3760,3761,3762,3763,3764,3765,3766

b. 1200,1201,1202,1203,1204,1205

## Practice Problems

1. Write the number names for given numbers-

1. 4500 (Ans: four thousand five hundred)

2. 1286 (Ans: one thousand two hundred eighty-six)

2. Greatest 4-digit number formed by 1,0,9,4 is? (Ans: 9401)

3. The smallest 4-digit number formed by 9,2,9,4 is? (Ans: 2499)

## Summary

The digits that are used to address a combination of numbers and perform mathematical operations in daily life are 0, 1, 2, 3, 4, 5, 6, 7, 8. 1001 is the smallest four-digit odd number. 1000 is the smallest four-digit number and also it is the smallest four-digit even number.

Even and Odd Numbers

Last updated date: 02nd Oct 2023
Total views: 117k
Views today: 1.17k

## FAQs on 4 Digit Smallest Number- Let’s Know it Better!

1. How many 4-digit numbers can be formed using the numbers 1, 2, 3, 4, and 5 with digits repeated?

In mathematics, permutation relates to the function of ordering all the members from a group into some series or order.

Repetition of digits is permitted. In this way, for the one place we have 5 choices i.e., 1,2,3,4,5 also for the tens place we have again 5 choices i.e., 1,2,3,4,5 for the 100th place we have 5 choices i.e., 1,2,3,4,5 correspondingly, for the thousandth place we have 5 choices i.e., 1,2,3,4,5.

So, Total no. of four-digit numbers = 5 × 5 × 5 ×5

= 625

2. How many four-digit numbers are there?

The numbers with ones, tens, hundreds, and thousands having four digits are referred to as four-digit numbers. The following formula can be used to know how many four-digit numbers are there.

(Greatest four-digit number)–(Smallest four-digit number) + 1

So we know that the smallest four-digit number is 1000 and the greatest four-digit number is 9999.

So using the above formula we come to see that -

(9999)-(1000) + 1 = 8999 + 1 = 9000

Hence there is a total of 9000 four-digit numbers.

3. What is the largest 4-digit number?

The largest 4-digit number in the number system is 9999. Assuming +1 is added to the number (9999) it becomes a 5-digit number that is 10000 (five-digit number). So 9999 is the biggest 4-digit number in the number system.

Largest 4 digit number = 9999

= 9999 + 1

= 10000 ( Which is 5 digit number )

So it is proved that 9999 is the biggest 4-digit number in the number set-up.

By this, we can also observe that the smallest five-digit number is 10000.