Commutative Property

The commutative property is a fundamental property in mathematics that applies to operations such as addition and multiplication. It states that the order of the numbers being added or multiplied does not affect the result.

Addition

For addition, the commutative property can be stated as:

a + b = b + a

Multiplication

For multiplication, the commutative property can be stated as:

a * b = b * a

Examples

Here are some examples that illustrate the commutative property:

3 + 5 = 5 + 3

8 * 4 = 4 * 8

Study Guide

Here are some key points to remember about the commutative property:

The commutative property applies to addition and multiplication.
It states that the order of the numbers being added or multiplied does not affect the result.
For addition, the property can be stated as a + b = b + a.
For multiplication, the property can be stated as a * b = b * a.
Examples of the commutative property include 3 + 5 = 5 + 3 and 8 * 4 = 4 * 8.

Understanding the commutative property is essential for solving mathematical problems and equations involving addition and multiplication.

◂Math Worksheets and Study Guides Seventh Grade. Plane Figures: Lines and Angles

Study Guide

Plane Figures: Lines and Angles

Plane Figures: Lines and Angles

Worksheet/Answer key

Plane Figures: Lines and Angles

Worksheet/Answer key

Plane Figures: Lines and Angles

The resources above cover the following skills:

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties.

Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Measurement (NCTM)

Understand measurable attributes of objects and the units, systems, and processes of measurement.

Understand, select, and use units of appropriate size and type to measure angles, perimeter, area, surface area, and volume.

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Connections to the Grade 7 Focal Points (NCTM)

Data Analysis: Students use proportions to make estimates relating to a population on the basis of a sample. They apply percentages to make and interpret histograms and circle graphs.