Rational and Irrational Numbers on a Number Line - Lesson Topic Index | Grade 7 Math | Intermediate Test Prep | StudyZone

As a review of vocabulary, as learned in the subsets of real numbers lesson...

 Rational numbers include all numbers that "come to an end" or numbers that repeat and have a pattern.
 Irrational numbers include numbers that cannot be exactly written as a decimal or fraction.  Irrational numbers cannot be expressed as a ratio of two integers.

In addition to identifying numbers as rational and irrational, we need to place numbers, both rational and irrational, on a number line and justify the placement of the numbers.

 Let's think about where 4.5, 1.838383... and π should be placed on a number line. 1.838383...  is placed closer to the 2 because as a rounded number it would be rounded to 2. π is placed closer to the 3 because π is approximately 3.1416. 4.5 is halfway between 4 and 5.

Let's do some practice.

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