Even Number

An even number is a whole number that is divisible by 2. In other words, if the number is divided by 2, the remainder is 0. Even numbers are always integers and can be positive or negative.

Properties of Even Numbers

1. Divisibility by 2: An even number can be divided by 2 without leaving a remainder.
2. Ending in 0, 2, 4, 6, or 8: In its decimal representation, an even number always ends with either 0, 2, 4, 6, or 8.
3. Examples: Some examples of even numbers include 2, 4, 6, 8, 10, -2, -4, -6, -8, -10, etc.

Identifying Even Numbers

To identify whether a given number is even, you can use the following methods:

• Divisibility Test: If a number is divisible by 2, it is even.
• Ending Digit: Check if the ones digit of the number is 0, 2, 4, 6, or 8. If it is, the number is even.

Operations with Even Numbers

When performing operations with even numbers, the following rules apply:

• Addition/Subtraction: The sum or difference of two even numbers is always even.
• Multiplication: The product of two even numbers is always even.
• Division: When an even number is divided by 2, the result is always an integer (another even number).

Study Guide

Here are some practice questions to help you understand even numbers better:

1. Identify whether the following numbers are even or odd:
   • a) 24
   • b) 37
   • c) -16
   • d) 0
2. Find the sum of the first 5 even numbers.
3. If n is an even number, what can you say about the value of n/2?

These questions will help you practice identifying even numbers and understand their properties and operations.

Remember, even numbers play a significant role in various mathematical concepts and applications, so understanding them is important for building a strong foundation in mathematics.