5.2+Representing+Fractions+as+Decimals

 Visit my Escher Project  November 5, 2008 NG **Essential Question:** What's "irrational" about irrational numbers? Notes From Class: **terminating decimals**- decimals that end.
 * Big Idea:** The dimensions of a right triangle can be determined with limited information.
 * repeating decimals-** decimals that have groups of digits which repeat forever.



Problem 5.2
 **Write each fraction as a decimal, and tell whether the decimal is terminating or repeating. If the decimal is repeating, tell which digits repeat.**
 * A.** 2/5 = 0.4. 0.4 is a terminating decimal.
 * B.** 3/8 = 0.375. 0.375 is a terminating decimal.
 * C.** 5/6 = 0.8333333....This is a repeating decimal, with the digit 3 repeating.
 * D.** 35/10 = 3.5. 3.5 is a terminating decimal.
 * E.** 8/99 = 0.08080808....This is a repeating decimal, with the digits 08 repeating.

Problem 5.2 Follow-Up

 * 1. Find three fractions with the same decimal representation as the given fraction.**
 * a.** 2/5 = 4/10; 6/15; 20/50
 * b.** 5/6 = 10/12; 15/18; 50/60


 * 2. Find a fraction that is equivalent to the given terminating decimal.**
 * a.** 0.35 = 7/20