Even Numbers Study Guide

What is an Even Number?

An even number is a whole number that is exactly divisible by 2. In other words, when an even number is divided by 2, the remainder is 0.

Examples of Even Numbers

Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16, and so on. These numbers can be divided by 2 without leaving a remainder.

Properties of Even Numbers

• When you add two even numbers, the result is always an even number.
• When you multiply an even number by any other whole number, the result is always an even number.
• The sum of an even number and an odd number is always an odd number.

Identifying Even Numbers

To identify if a number is even, you can simply check if it is divisible by 2. If the remainder is 0, then the number is even.

Practice Problems

1. Determine whether the following numbers are even: 14, 25, 36, 41, 50.
2. Find the sum of the even numbers between 1 and 10.
3. If 2x + 4 = 16, find the value of x.

Answers to Practice Problems

1. 14 and 36 are even numbers.
2. The sum of the even numbers between 1 and 10 is 30 (2 + 4 + 6 + 8 + 10 = 30).
3. x = 6.

Conclusion

Understanding even numbers is essential in mathematics, as it forms the basis for various concepts such as divisibility, algebraic expressions, and number patterns. Practicing with even numbers can help build a solid foundation in mathematics.