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. Which is the smallest 4-digit number?
The smallest 4-digit number is 1000. This is because four digits require a number starting from 1 followed by three zeros: $1000 = 1 \times 10^3$. Any number less than 1000 has only three digits. Vedantu’s expert tutors can help students master number systems and place value concepts efficiently.
2. Is 9999 the smallest 4-digit number?
No, 9999 is not the smallest 4-digit number; it is the largest 4-digit number. The smallest 4-digit number is 1000, while the largest is 9999. For a deeper understanding of number ranges and place value, you can refer to Vedantu's interactive learning modules.
3. Is 0000 a four-digit number?
No, 0000 is not considered a four-digit number in mathematics. When zeros are at the start of a number, they do not contribute to the count of digits, so 0000 is simply 0, a single-digit number. Understanding digit value and place is an essential math skill taught in Vedantu’s curriculum.
4. Is 0 the smallest digit?
Yes, 0 is the smallest digit in the decimal number system. The digits range from 0 to 9, making 0 the lowest value. Vedantu’s expert educators explain the significance of zero in number systems through engaging examples and interactive sessions.
5. What is the place value of 1 in the smallest 4-digit number?
In the smallest 4-digit number, which is 1000, the place value of 1 is 1000. This is because the '1' is in the thousand’s place (leftmost digit), so $1 \times 1000 = 1000$. Vedantu offers detailed sessions on place value concepts for clarity and exam preparation.
6. How do you identify a 4-digit number?
A 4-digit number has four digits with the leftmost digit being non-zero. For example, numbers from 1000 to 9999 are 4-digit numbers. Identifying the number of digits helps students build a foundation for arithmetic, covered thoroughly in Vedantu's math courses.
7. Why is 1000 called the smallest 4-digit number?
The number 1000 is called the smallest 4-digit number because:
- It marks the transition point from 3-digit numbers (up to 999).
- It has exactly four digits.
- Any number less than 1000 will have fewer than four digits.
8. How do you write four-digit numbers in expanded form?
To write a 4-digit number in expanded form, break it down by place value. For example, for $2475$, the expanded form is: $$2000 + 400 + 70 + 5$$. This helps students visualize the value of each digit. Interactive practice on Vedantu strengthens understanding of expanded form concepts through worksheets and quizzes.
9. What is the difference between the largest and smallest 4-digit numbers?
The difference between the largest and smallest 4-digit numbers is:
- Largest 4-digit number = 9999
- Smallest 4-digit number = 1000
- Difference = $9999 - 1000 = 8999$
10. How can Vedantu help students understand 4-digit numbers effectively?
Vedantu supports students in mastering 4-digit numbers by providing:
- Interactive live classes explaining number systems and digit values
- Customized practice problems and worksheets on 4-digit numbers
- Personalized feedback to strengthen foundational math skills
- Easy-to-follow explanations for concepts like place value, expanded form, and number comparison
