Number Sense

VIII. Class 8

A. Operations on Sets of Numbers, Identity Elements, and Inverse Operations

Participants should discuss topics:

• Developing the concepts of addition, subtraction, multiplication, and division of real numbers
• Identifying the commutative, associative, distributive, and closure properties and the identity elements for the four operations
• Exploring the concept of inverse and division by zero

Participants explore some of the following investigations focused on operations on sets of numbers, identity elements, and inverse operations:

• Operations on Sets of Numbers

• What Happens When …?

• Adding Tenths

• Let’s Operate on Fractions

• Combinations

• Multiple Calculations

• Inverse Operations

• Dividing by Zero

• Don’t Just Say “It is Undefined”

• How Does Zero Fit In?

B. Participants add write-ups to their online portfolios

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Additional Resources for Week 8

• Dictionary Entries related to order relationships, roots, and induction.  

• Associative Properties

• Commutative Properties

• Distributive Properties

• Division by Zero

• Inverse Operation

• Operation

• External Links

• Addition, Subtraction, Multiplication, and Division

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