Commutative Property

The commutative property is a fundamental concept in mathematics that applies to addition and multiplication. The property states that the order of the numbers does not change the result when adding or multiplying them.

For addition, the commutative property can be stated as: a + b = b + a. In other words, the sum of two numbers remains the same regardless of the order in which they are added.

For multiplication, the commutative property can be stated as: a * b = b * a. This means that the product of two numbers remains the same regardless of the order in which they are multiplied.

It's important to note that the commutative property does not apply to subtraction or division. This property is a foundational concept in arithmetic and is used to simplify calculations and solve mathematical problems.

◂Math Worksheets and Study Guides Third Grade. Estimation

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The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.

Compute fluently and make reasonable estimates.

Develop and use strategies to estimate the results of whole-number computations and to judge the reasonableness of such results.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.