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Elementary Definition--Multiplication and Division Concepts--Commutative Property

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# Commutative Property

## Topic

Multiplication and Division

## Definition

The commutative property states that the order of numbers does not change their sum or product.

## Description

The commutative property is fundamental in arithmetic and algebra, indicating that the order of numbers in addition or multiplication does not affect the result. For instance, 4 + 5 is the same as 5 + 4, and similarly, 3 × 7 equals 7 × 3. This property is essential for simplifying calculations and solving equations. In real-world applications, it is used in various fields such as engineering, computer science, and economics to streamline processes and calculations. Understanding the commutative property helps students develop a flexible approach to problem-solving and enhances their ability to manipulate mathematical expressions effectively.

For elementary students: "Does a 2 x 3 array have the same number of items as a 3 x 2 array? How do you know?"

For a complete collection of terms related to Multiplication and Division click on this link: __Multiplication and Division Collection__

Common Core Standards | CCSS.MATH.CONTENT.4.OA.B.4, CCSS.MATH.CONTENT.3.OA.C.7, CCSS.MATH.CONTENT.3.OA.B.5 |
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Grade Range | 2 - 4 |

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

Copyright Year | 2021 |

Keywords | multiplication, division, equation |