The Importance of Even Numbers

Oct 13, 2025 by magicalceylontours.com 2 views

Introduction

In mathematics, we often encounter problems that require us to find the smallest or largest number that satisfies certain conditions. In this article, we will explore the problem of finding the smallest 4-digit even number using the given digits: 7, 8, 2, 4, 9, and 5. We will use mathematical concepts and techniques to arrive at the solution.

Understanding the Problem

To find the smallest 4-digit even number, we need to understand what makes a number even and what makes it a 4-digit number. An even number is a number that is divisible by 2, and a 4-digit number is a number that has four digits. In this case, we are given six digits: 7, 8, 2, 4, 9, and 5. We need to use these digits to form the smallest 4-digit even number.

The Importance of Even Numbers

Even numbers play a crucial role in mathematics, particularly in algebra and geometry. Even numbers are used to represent quantities that can be divided into equal parts, such as the number of people in a group or the number of objects in a set. In addition, even numbers are used to represent distances, such as the length of a line segment or the perimeter of a shape.

The Role of 4-Digit Numbers

4-digit numbers are used to represent large quantities, such as the population of a country or the number of items in a inventory. In addition, 4-digit numbers are used to represent times, such as the time of day or the time of a event.

Finding the Smallest 4-Digit Even Number

To find the smallest 4-digit even number using the given digits, we need to use the following steps:

Arrange the digits in ascending order: We need to arrange the given digits in ascending order to find the smallest possible number. The digits in ascending order are: 2, 4, 5, 7, 8, and 9.
Find the smallest even number: We need to find the smallest even number that can be formed using the given digits. Since we are looking for the smallest 4-digit even number, we need to start with the smallest possible even number, which is 1000.
Use the given digits to form the number: We need to use the given digits to form the number 1000. We can do this by using the digits 2, 4, and 8 to form the number 248.
Add the remaining digits: We need to add the remaining digits, 5, 7, and 9, to the number 248 to form the smallest 4-digit even number.

The Solution

Using the steps outlined above, we can find the smallest 4-digit even number using the given digits. The smallest 4-digit even number is:

2457

This number is the smallest possible 4-digit even number that can be formed using the given digits.

Conclusion

In conclusion, finding the smallest 4-digit even number using the given digits requires us to use mathematical concepts and techniques. We need to arrange the digits in ascending order, find the smallest even number, and use the given digits to form the number. By following these steps, we can find the smallest 4-digit even number, which is 2457.

Additional Examples

Here are some additional examples of finding the smallest 4-digit even number using different sets of digits:

Using the digits 1, 2, 3, 4, 5, and 6, the smallest 4-digit even number is 1234.
Using the digits 2, 4, 6, 8, 0, and 1, the smallest 4-digit even number is 2468.
Using the digits 3, 5, 7, 9, 1, and 2, the smallest 4-digit even number is 3579.

Final Thoughts

Q&A: The Smallest 4 Digit Even Number

Q: What is the smallest 4-digit even number that can be formed using the digits 7, 8, 2, 4, 9, and 5? A: The smallest 4-digit even number that can be formed using the digits 7, 8, 2, 4, 9, and 5 is 2457.

Q: Why is 2457 the smallest 4-digit even number? A: 2457 is the smallest 4-digit even number because it is the smallest possible number that can be formed using the given digits and is also even.

Q: How do you find the smallest 4-digit even number? A: To find the smallest 4-digit even number, you need to arrange the given digits in ascending order, find the smallest even number, and use the given digits to form the number.

Q: What is the importance of even numbers in mathematics? A: Even numbers play a crucial role in mathematics, particularly in algebra and geometry. Even numbers are used to represent quantities that can be divided into equal parts, such as the number of people in a group or the number of objects in a set.

Q: What is the role of 4-digit numbers in mathematics? A: 4-digit numbers are used to represent large quantities, such as the population of a country or the number of items in a inventory. In addition, 4-digit numbers are used to represent times, such as the time of day or the time of a event.

Q: Can you give an example of finding the smallest 4-digit even number using different sets of digits? A: Yes, here are some examples:

Using the digits 1, 2, 3, 4, 5, and 6, the smallest 4-digit even number is 1234.
Using the digits 2, 4, 6, 8, 0, and 1, the smallest 4-digit even number is 2468.
Using the digits 3, 5, 7, 9, 1, and 2, the smallest 4-digit even number is 3579.

Q: What is the final answer to the problem? A: The final answer to the problem is 2457, which is the smallest 4-digit even number that can be formed using the digits 7, 8, 2, 4, 9, and 5.

Q: Can you provide any additional information about the problem? A: Yes, here are some additional facts about the problem:

The problem requires the use of mathematical concepts and techniques to find the smallest 4-digit even number.
The problem involves the use of digits to form a number, which is a fundamental concept in mathematics.
The problem requires the use of reasoning and problem-solving skills to arrive at the solution.

Conclusion

In conclusion, the smallest 4-digit even number that can be formed using the digits 7, 8, 2, 4, 9, and 5 is 2457. This problem requires the use of mathematical concepts and techniques to find the solution, and involves the use of digits to form a number. We hope that this Q&A article has provided a clear and concise explanation of the problem and its solution.