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Irrational Numbers and Decimal Expansion

Core Standard: 8.NS.A.1

Aligned To Common Core Standard:

Grade 8 Number System- 8.NS.A.1

Printable Worksheets And Lessons


  • Decimal-Fraction Step-by-Step Lesson- Convert a decimal to a fraction and then bring a decimal to life.

  • Guided Lesson - More decimal / fraction conversions and we have you label numbers as rational and irrational.

  • Guided Lesson Explanation - I spent a good amount of time on the concept of rational numbers. Hopefully you find it helpful.

  • Practice Worksheet - A real obstacle course of problems for you. I find these types of problems to be very paper dependent, meaning you should have some scrap handy.

  • Matching Worksheet - A great refresher or warm-up for students that have mastered this skill.


AnswersAnswer Keys



View Answer Keys- All the answer keys in one file.




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Homework Sheets

The lesson focuses on decimal fraction conversions and we work into irrational numbers later.




Practice Worksheets

These sheets are very mixed with different types of problems. I thought it was time.




Math Skill Quizzes

These are a bit decimal-fraction centered. The last quiz has irrational numbers.