How to Identify the Smallest 4 Digit Even and Odd Numbers
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-sixb. Four thousand eight hundred seventy-seven
Ans:
a. 6276
b. 4877
2. Complete the counting-
a. 3758,___,___,____,3762,___,___,3765,3766b. 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-
4500 (Ans: four thousand five hundred)
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
FAQs on What Is the Smallest 4 Digit Number? Explained for Students
1. What is the smallest 4-digit number?
The smallest 4-digit number is 1000. It is the very first whole number that consists of four digits, beginning with the thousands place.
2. Why is 1000 considered the smallest 4-digit number and not a number like 1111?
1000 is the smallest 4-digit number because to create the smallest possible value, we must follow these rules:
- The digit in the thousands place must be the smallest non-zero digit, which is 1. If we used 0, it would become a 3-digit number.
- The digits in the hundreds, tens, and ones places should be the smallest possible digit, which is 0.
This combination of 1 in the thousands place and 0 in all other places (1000) results in the lowest possible value for a 4-digit number.
3. How is the smallest 4-digit number related to the largest 3-digit number?
The smallest 4-digit number (1000) is the immediate successor of the largest 3-digit number (999). This means if you add just one to 999, you get 1000. This transition marks the exact point where numbers with three digits end and numbers with four digits begin in the number system.
4. How do you form the smallest 4-digit number using the digits 4, 0, 9, and 2 without repetition?
To form the smallest 4-digit number using the digits 4, 0, 9, and 2, you must arrange them in ascending order, with one important rule:
- Thousands Place: You cannot start with 0. The next smallest digit is 2, so it goes in the thousands place.
- Hundreds Place: Now you can use the smallest available digit, which is 0.
- Tens Place: The next smallest available digit is 4.
- Ones Place: The last remaining digit is 9.
Therefore, the smallest 4-digit number formed is 2049.
5. What is the largest 4-digit number?
The largest 4-digit number is 9999. To create the largest number, we fill every place value (thousands, hundreds, tens, and ones) with the largest single digit, which is 9.
6. In total, how many 4-digit numbers exist?
There are a total of 9,000 four-digit numbers. These numbers start from 1000 and go up to 9999. The count can be found using the formula: (Largest 4-digit number - Smallest 4-digit number) + 1, which is (9999 - 1000) + 1 = 9000.
7. Where can we see examples of 4-digit numbers in our daily lives?
We encounter 4-digit numbers frequently in the real world. Understanding them helps in various daily activities. Some common examples include:
- Years: Historical and current years like 1947 or 2025 are 4-digit numbers.
- PIN Codes: ATM, phone, and transaction PINs are often 4 digits long for security.
- House and Vehicle Numbers: Address numbers and the last four digits of vehicle registration plates often use 4-digit numbers.
