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Elementary Math Definitions--Addition Subtraction Concepts--Commutative Property

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# Commutative Property

## Topic

Addition and Subtraction

## Definition

The commutative property states that the order in which numbers are added does not change their sum.

## Description

The commutative property is a fundamental concept in mathematics that applies to addition and multiplication. It states that the order in which numbers are added does not affect the sum. For example, in the equation

4 + 5 = 5 + 4

you can see that both sides of the equation result in the same sum of 9.

This property is essential for simplifying calculations and solving algebraic equations. It allows for flexibility in the order of numbers, making it easier to perform mental math and understand mathematical relationships. The commutative property is also a building block for more advanced mathematical concepts, such as algebra and calculus.

In real-world applications, the commutative property can be seen in various scenarios, such as calculating the total cost of items, determining the total distance traveled, and more. For example, if you buy 4 apples and 5 oranges, the commutative property allows you to add the fruits in any order to find the total number.

**Teacher's Script:** "Today, we will learn about the commutative property. This property tells us that it doesn't matter in which order we add numbers; the total will be the same. For example, if we add 4 and 5, it's the same as adding 5 and 4. Can you try adding numbers in different orders and see if the total stays the same?"

For a complete collection of terms related to Addition and Subtraction click on this link: __Addition and Subtraction Collection__

Common Core Standards | CCSS.MATH.CONTENT.1.OA.B.3, CCSS.MATH.CONTENT.2.NBT.B.9 |
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Grade Range | 1 - 3 |

Curriculum Nodes |
Arithmetic• Addition• Addition Expressions and Equations |

Copyright Year | 2021 |

Keywords | addition, subtraction, equation, place value |