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7th Grade Math / Lesson 2: Decimals: Rational and Irrational

 DECIMALS What will we be learning in this unit? In this lesson you will learn about irrational and rational numbers. Vocabulary words are found in this purple color throughout the lesson. Remember to put these in your notebook.

 DECIMALS Converting Fractions to Decimals To convert a fraction to a decimal you have to do division. Take the numerator and divide it by the denominator. 65         65 / 32 = 2.0312532 If the decimal value has an ending, this is a terminating decimal.3 = .3758 If the decimal value has a series of digits that repeat, this is a repeating decimal.                                                       The 2 and 7 repeat.                    3  = .272727...      = .27      Place a bar above the digits that repeat                    11

 DECIMALS Converting Fractions to Decimals To convert a fraction to a decimal you have to do division.  Take the numerator and divide it by the denominator. Decide if the following fractions are terminating, repeating, or neither.   1. 4/15  2. 4/17   3. 4/ 5

 DECIMALS Converting Fractions to Decimals To convert a fraction to a decimal you have to do division.  Take the numerator and divide it by the denominator. Decide if the following fractions are terminating, repeating, or neither. 1.    4             Repeating     ( the 6 repeats )       15   2.   4             Neither   (the digits keep going and they do not repeat)      17   3.   4               Terminating  (.8)       5

 DECIMALS Converting Fractions to Decimals Rational numbers are those decimals that DO repeat or terminate.  Irrational numbers are those decimals that do not repeat and do not terminate. For additional practice on rational and irrational numbers, click HERE. To return to this lesson slide, just close the screen by clicking on the x in the top right corner.