5.2+Representing+Fractions+as+Decimals+0910

** 14 November 2009 ** **__5.2 - Representing Fractions as Decimals__**
 * OCJP **
 * Big Idea: The dimensions of a right triangle can be determined with limited information.**
 * Essential Question: What is “irrational” about Irrational Numbers?**
 * __Problem 5.2__**
 * Write each fraction as a decimal, and tell weather the decimal is terminating or repeating. I the decimal is repeating, tell which digits repeat.**
 * How to do it:** ** The way to find out what a fraction is in decimals is to divide the denominator by the numerator. Then if I want to solve this problem I can analyse the result of this equation. **


 * A. 2/5=** ** 0.4 so this decimal is terminating. **
 * B. 3/8=**** ** 0.375 so this decimal is terminating. **
 * C. 5/6=**** ** 0.833... with three continuing to repeat so this decimal is repeating with the digit 3. **
 * D. 35/10=**** ** 3.5 so is decimal is terminating. **
 * E. 8/99=**** ** 0.080808.... with 08 continuing to repeat so this decimal is repeating with the digits 08. **

Whatever changes I made I made exactly the same changes to both the denominator and the numerator so that although the digits involved changed the actual value stayed the same **
 * __**Follow-up**__**
 * **1.** ****Find three factions with the same decimal representation as the given fraction.****
 * a. 2/5=**** ** 4/10= 8/20= 16/20 **
 * b. 5/6=**** ** 10/12= 20/24= 15/18 **

****a. 0.35=**** ** 7/20 **
 * 2. Find a fraction that is equivalent to the given terminating decimal.****
 * b. 2.1456=**** ** 1341/625 **
 * c. 89.050=**** ** 1781/20 **