Understanding Odd and Even Numbers

Numbers are categorized into two main groups: odd and even. Understanding the difference between odd and even numbers is an important fundamental concept in mathematics.

Even Numbers

An even number is a number that is exactly divisible by 2. This means that when you divide an even number by 2, there is no remainder. Even numbers always end in 0, 2, 4, 6, or 8. The first few even numbers are 2, 4, 6, 8, 10, and so on.

Odd Numbers

An odd number is a number that is not exactly divisible by 2. When you divide an odd number by 2, there is always a remainder of 1. Odd numbers always end in 1, 3, 5, 7, or 9. The first few odd numbers are 1, 3, 5, 7, 9, and so on.

Identifying Odd and Even Numbers

To determine whether a number is odd or even, you can look at the last digit of the number. If the last digit is 0, 2, 4, 6, or 8, the number is even. If the last digit is 1, 3, 5, 7, or 9, the number is odd.

Study Guide

Practice identifying odd and even numbers up to 100.
Write down a list of even numbers and odd numbers separately.
Create flashcards with numbers on them and quiz yourself or a friend on whether each number is odd or even.
Solve addition and subtraction problems involving odd and even numbers to understand their properties.
Look for patterns in the multiplication tables for odd and even numbers.

Understanding odd and even numbers is an important foundation for more advanced mathematical concepts, such as divisibility rules and number patterns.

◂Math Worksheets and Study Guides Fourth Grade. Odd/Even

The resources above cover the following skills:

Number and Operations (NCTM)

Compute fluently and make reasonable estimates.

Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Grade 4 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing quick recall of multiplication facts and related division facts and fluency with whole number multiplication

Students use understandings of multiplication to develop quick recall of the basic multiplication facts and related division facts. They apply their understanding of models for multiplication (i.e., equal-sized groups, arrays, area models, equal intervals on the number line), place value, and properties of operations (in particular, the distributive property) as they develop, discuss, and use efficient, accurate, and generalizable methods to multiply multi-digit whole numbers. They select appropriate methods and apply them accurately to estimate products or calculate them mentally, depending on the context and numbers involved. They develop fluency with efficient procedures, including the standard algorithm, for multiplying whole numbers, understand why the procedures work (on the basis of place value and properties of operations), and use them to solve problems.