Converting Repeating Decimals to Fractions Notes and Worksheet
Guided notes walk eighth graders through turning repeating decimals into fractions with the multiply-and-subtract equation method, followed by practice problems and an answer key.
- Grades
- Grade 8, Middle School
- File type
- Preparation
- Print ready
- Subject
- Math, Numbers
- Topic
- repeating decimals, rational numbers
- Resource types
- Activities
- Preparation
- Print ready
About this resource
What's inside this resource
This resource was developed to partially meet the requirements of the 8th Grade Number System Standard below; portion of the standard covered in BOLD:
CCSS.math.content.8.ns.a.1
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
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In the classroom
Teaching tips & learning objectives
Learning objectives
- Convert a repeating decimal to a fraction using equations
- Distinguish terminating, repeating, rational and irrational numbers
Teaching tips
- Students check each converted fraction with a calculator, so calculators are needed for the practice set.
Skills covered
- Algebraic conversion — setting up two equations and subtracting to remove the repeating part
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Resource details
Concepts & topics
Core concepts
Core concepts
- Repeating decimals
- Terminating decimals
- Rational numbers
- Irrational numbers
Topics
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