What is the smallest 4 digit number?

The method to represent and work with numbers is known as the number system. A number system is a system of writing to represent numbers.

It is the mathematical notation used to represent numbers of a given set by using digits or other symbols. It has arithmetic operations to perform division, multiplication, addition, and subtraction between numbers. Some important number systems are Decimal Number System, Binary Number System, Octal Number System, and Hexadecimal Number System.

What is the smallest 4-digit Number?

The Smallest four-digit number in the number system is 1000. The smallest 4 digit number in the number system is 1000 because if 1 is subtracted from the number it becomes 3 digit number which is 999 (a three-digit number ). So 1000 is the smallest 4 digit number in the number system.

Smallest four-digit number in the number system = 1000

= 1000 - 1  

= 999 (which is a 3-digit number)

Hence, it is proved that 1000 is the smallest four-digit number

Smallest 4-Digit Odd Number

The number 1001 is the smallest 4-digit odd number in the number system.

As 1000 is the smallest even four-digit number in the number system, we must determine the smallest odd four-digit 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.

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

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

Smallest 4-Digit Even Number

The number 1000 is the smallest 4-digit even number in the number system.

To determine the smallest 4-digit even number, let's break down the requirements:

1. Four-digit number: A number must be between 1000 and 9999 to qualify as a four-digit number.
2. Even number: An even number ends with 0, 2, 4, 6, or 8.

Given these requirements, the smallest four-digit number is 1000, as it ends in 0, which is an even digit.

Decimal Number System 

The decimal number system consists of ten digits that are from 0 to 9 (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). The base of the decimal number system is 10. These digits can be used to represent any numeric value. For example, the decimal number 153 consists of the digit 3 in one's place, the digit 5 in tens place and the digit 1 in hundreds place which can be represented as,

(1 × 10²) + (5 × 10¹) + (3 × 10⁰ )

= (1 × 100) + (5 × 10) + (3 × 1), {As 10⁰ = 1}

= 100 + 50 + 3

= 153 

Also Read,

• What is the smallest 3 digit number?

Solved Example Based on the Smallest 4 Digit Number

Question 1: What is the smallest 1-digit number?

Answer: 

Smallest 1 digit number in the number system is 0.

Question 2: What is the largest 1 digit number?

Answer:

Largest 1 digit number in the number system 9.

Question 3: What is the smallest 2 digit number?

Answer: 

Smallest 2 digit number in the number system is 10.

Question 4: What is the largest 2 digit number?

Answer: 

Largest 2-digit number in the number system 99.

Question 5: What is the smallest 3 digit number?

Answer: 

The smallest 3 digit number in the number system is 100, if -1 is subtracted from the number it becomes 2-digit number that is 99 (a two-digit number). So 100 is the smallest 3 digit number in the number system.

Smallest 3-digit number = 100

= 100 - 1

= 99 (Which is 2 digit number)

So it is proved the 100 is the smallest 3 digit number in the number system.

Question 6: What is the largest 3 digit number?

Answer:

Largest 3 digit number in the number system 999. If +1 is added to the number ( 999 ) it becomes 4 digit number that is 1000 (A four-digit number). So 999 is the largest 3 digit number in the number system.

Largest 3 digit number = 999

= 999 + 1

= 1000 (Which is 4 digit number)

So it is proved the 999 is the largest 3 digit number in the number system.

Question 7: What is the smallest 5 digit number?

Answer: 

The smallest 5 digit number in the number system is 10000, if -1 is subtracted from the number it becomes 4 digit number that is 9999 (Four-digit number). So 10000 is the smallest 5 digit number in the number system.

Smallest 5 digit number = 10000

= 10000 - 1 

= 9999 ( Which is 4 digit number )

So it is proved the 10000 is the smallest 5 digit number in the number system.

Question 8: What is the largest 5 digit number?

Answer: 

The largest 5 digit number in the number system is 99999. If +1 is added to the number (99999) it becomes 5 digit number that is 100000 (Six-digit number). So 99999 is the largest 5 digit number in the number system.

Largest 5 digit number = 99999

= 99999 + 1 

= 100000 ( Which is 6 digit number )

So it is proved the 99999 is the largest 5 digit number in the number system.

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