Even and Odd Rules: Part 2

Contributor: Meghan Vestal. Lesson ID: 11295

In addition to knowing if a number is odd or even, you can predict if the sum of two large numbers will be odd or even in addition! Learn and practice the secret with a new worksheet and online quiz!

LessThan30
categories

Operations and Algebraic Thinking, Rules and Properties, Whole Numbers and Operations

subject
Math
learning style
Visual
personality style
Lion, Beaver
Grade Level
Intermediate (3-5)
Lesson Type
Quick Query

Lesson Plan - Get It!

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Without solving the problem, determine whether the sum will be even or odd:

31,622 + 98,868 =

In the first Related Lesson of this series, found in the right-hand sidebar, you learned what makes a number even or odd.

On a separate piece of paper, write down two ways to determine if a number is even and two ways to determine if a number is odd. Check over your list with a teacher or parent.

If you are having trouble remembering what classifies a number as even or odd, go back and review this Related Lesson before moving forward. You will need to know what makes a number even or odd to complete this lesson.

  • Did you know you do not actually have to compute a problem to figure out whether the answer will be even or odd?

In this lesson, you will learn a few tricks for identifying whether a sum or difference will be even or odd.

The rules for knowing whether a sum will be even or odd are:

even + even = even

6 + 4 = 10

odd + odd = even

9 + 3 = 12

odd + even = odd

5 + 4 = 9

even + odd = odd

2 + 7 = 9

 

The same rules apply for subtraction:

even - even = even

6 - 4 = 2

odd - odd = even

9 - 3 = 6

odd - even = odd

5 - 4 = 1

even - odd = odd

8 – 5 = 3

Being able to guess whether a sum or difference will be even or odd is a fun trick!

Move on to the next section to try it out.

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