Unit 7, Lesson 6# Finite and Infinite Decimals

EngageNY 45 min(s)

In this lesson, students show that a real number possessing a finite decimal expansion is a fraction with a denominator 103.) And, conversely, every fraction with a denominator that is a power of 10 has a finite decimal expansion. Students prove that those real numbers with a finite decimal expansion are precisely the fractions that can be written with a denominator that is a power of 10. Students realize that any fraction with a denominator that is a product of 2's and/or 5's can be written in an equivalent form with a denominator that is a power of 10.