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Addition Properties

Related Topics:
More Lessons for Grade 1
Common Core for Grade 1

Videos, solutions, examples, and songs to help Grade 1 kids learn the Addition Properties: Commutative and Associative Properties of Addition.
Apply properties of operations as strategies to add and subtract.

If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.)
To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. (Associative property of addition.)

Common Core: 1.OA.3

Learning Targets:

  • I can show that adding zero to any number does not change the number (e.g., 4 + 0 = 4).
  • I can show that changing the order of the addends (numbers) does not change the sum.
  • I can show when adding three number in any order, the sum does not change (e.g., 2 + 3 + 1 = 5 + 1).
  • I can use properties of operations to add and subtract.

The following table gives the properties of addition: Commutative, Associative and Identity. Scroll down the page for examples and solutions.

Properties of Addition

Adding Zero Song
When you add zero to a number you get back the same number. Zero the Hero
Zero is a number, and a very important number--but all the other numbers are having a hard time figuring out just how important he really is. 1st grade addition properties
Commutative property or Flip-flop property
3 + 4 = 4 + 3
Associative property or grouping property
4 + 3 + 7 = 4 + 10

Turn Around Addition Song
Help your students to learn how to add by learning turn around facts. Your students will learn the basic property of addition that switching the position of the numbers with the plus sign does not change the answer. Associative Property
(6 + 8) + 2 = 6 + (8 + 2) Addition Properties
In this video, you will learn about addition properties including the commutative property of addition, the zero property of addition, and the associative property of addition.

Zero property of addition - when you add 0 to a number, the sum is the number
0 + 4 = 4, 0 + 8 = 8 + 0 = 8

Commutative property of addition - when you change the order of the addends, the sum stays the same
8 + 7 = 7 + 8

Associative property of addition - when you change the way the addends are grouped, the sum stays the same
5 + (2 + 3) = (5 + 2) + 3

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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