### Section 1.1 – The Real Number System

The Real Numbers include positive and negative counting numbers as well as all their possible ratios (fractions), but that's not all. In order to describe physical measurements we also need to consider "irrational numbers".
In this section you will be reminded why these are necessary and how such numbers all correspond to points on a "Number Line". You will also review the basic arithmetic operations and some of their algebraic properties.

### What to do

• Follow the link above to review why we need to include more than just ratios of whole numbers if our number system is to be used for physical measurements.
• Read through section 1.1 of the text. As you proceed, use the questions in this 'Reading Guide' to confirm your understanding, keep in mind your Learning Objectives for this section, and when you have finished be sure to follow the suggestions regarding Further Practice.
• When you feel that you are ready, go on to the next section.

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