SS1 First Term Further Mathematics Lesson Note – Binary Operations

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WEEK SIX

BINARY OPERATIONS

CONTENT

• Definition of Binary Operation
• Properties of Binary Operations: Closure, Commutative law, Associative law, Distributive law,
• Laws of Complementation as in a Set: Identity Elements and Inverse of an Elements
• Multiplication tables of Binary Operations

SUB TOPIC: DEFINITION OF BINARY OPERATIONS

A binary of operation is any rule of combination of any two elements of a given non-empty set. Asterisk symbol  is used to denote binary operation. Some authors uses degree symbol  or zero symbol  to denote binary operation. However, the most commonly use is Asterisk symbol .

In binary operation, the most common operations include:

Addition of real numbers

Subtraction of real numbers

Multiplication of real numbers

Division of real numbers .

CLASS ACTIVITIES:

1. Define binary operation
2. List the possible operations in binary operation.

SUB TOPIC: LAWS OF BINARY OPERATIONS:

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