The Real Number System

A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of...

There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...

Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...

These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them. 

Your sixth and seventh graders deepen their understanding of a number line and adding integers in this concrete, hands-on activity. Learners play "Warehouse Puzzle" and then discuss their game strategies and the characteristics...

They could go all, the, way...to a deeper understanding of integers with this fun math game. Using the included printable materials, young mathematicians practice adding integers and calculating absolute values as they compete in a...

Knowing mathematic terminology is vital for building a functional academic vocabulary. In this video, Sal defines number sets and the terms natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers....

Sal works through several problems involving rational and irrational numbers and shows how to find the difference. This video is a good stepping stone for those preparing to take on more challenging algebra work.

This video defines rational numbers. Through the definition and examples, learners should comprehend that irrational numbers are numbers that cannot become simple fractions. The video uses examples of very common irrational numbers, such...

This video defines rational numbers. Through the definition and examples, learners should comprehend that irrational numbers are numbers that cannot become simple fractions. The video uses examples of very common irrational numbers, such...