# Sets, Operations, and Opposites

Taught by TheMathDude
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Lesson Summary:

In this lesson, we learn about sets, operations, and opposites of numbers. We start with numerical systems and move on to natural numbers, whole numbers, and the decimal system. The concept of opposites is introduced, and we learn that it is not an entirely new operation, but rather adding the opposite. We also see how division is related to multiplication and how decimals can be used to represent numbers between whole numbers. The lesson ends with a mention of rational and real numbers.

Lesson Description:

A basic explanation of sets, operations, and opposites of numbers.

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• What are the different sets of real numbers and what numbers belong to each set?
• What are the operations you can perform on numbers?
• How do you write and find the opposite of a number?
• What are the natural or counting numbers?
• What is an ordered set of numbers, and what are some examples of ordered sets?
• What is the additive identity element?
• What is the definition of the opposite of a number?
• What does it mean to add the opposite of a number?
• How do you subtract a negative number?
• Where did the operations of subtraction, multiplication, and division come from?
• What is the multiplicative identity element?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson continues to expound on numbers. You will learn to categorize real numbers into several different sets, how to do operations on numbers, and find the opposite of numbers. This is a follow-up to the basic introduction to what numbers are. The operations and opposites are built from the ground up in this elementary look at numbers and our number system. The word opposite is sometimes used in this lesson to mean reciprocal.