Even and Odd Numbers
Even and odd numbers are classified by whether a whole number is divisible by 2 in Grade 6 math (Saxon Math, Course 1). An even number ends in 0, 2, 4, 6, or 8 and divides exactly by 2. An odd number ends in 1, 3, 5, 7, or 9 and leaves a remainder of 1 when divided by 2. Even numbers can be split into two equal groups; odd numbers always have one left over. Key rules: even + even = even; odd + odd = even; even + odd = odd. Even × any = even; odd × odd = odd. These parity rules appear in number theory, divisibility tests, and algebraic proofs.
Key Concepts
Property Any whole number with a ones digit of $0, 2, 4, 6,$ or $8$ is an even number . Whole numbers that are not even numbers are odd numbers . An even number of objects can be divided into two equal groups, while an odd number cannot.
Examples The number $4,578$ is even because its last digit is an $8$.
The number $99,153$ is odd because its last digit is a $3$.
Common Questions
How do you determine if a number is even or odd?
Look at the ones digit. If it is 0, 2, 4, 6, or 8, the number is even. If it is 1, 3, 5, 7, or 9, the number is odd.
Is 4,738 even or odd?
Even. The ones digit is 8.
What is odd + odd?
Even. For example, 7 + 5 = 12.
What is even × odd?
Even. For example, 4 × 7 = 28. Any even factor makes the product even.
Can a fraction or decimal be even or odd?
No. Even and odd classifications apply only to whole numbers (integers).