Q&A #7093

Teachers' Lounge Discussion: Converting repeating decimals to fractions

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From: Tony

To: Teacher2Teacher Public Discussion
Date: 2003031414:02:26
Subject: Converting 0.9(repeating) to a fraction.

Okay, so this came up in one of my math classes: if you use the technique above to convert 0.99999999... to a fraction, you find it to be identical to one. x = 0.99999....... 10x = 9.99999....... So, 9x = 9, which means x = 1. While the two numbers may be infinitesimally close, they are not identical. Is there something wrong or incomplete about the technique?

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