Example 2
Instructional Activity

Example 2

Lesson 10. Unit 7. Grade 8 EngageNY

EngageNY10 min(s)

This Instructional Activity is a part of the Lesson 10, Unit 7, Grade 8. Students develop a convincing argument establishing that every real number with a repeating decimal is a rational number. In Lesson 8, we say that every rational number, that is, every fraction, has a decimal expansion that falls into a repeating pattern. A natural question now is the converse: If a real number has an infinitely long decimal expansion with a repeating pattern, must it be a rational number?

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