August 28, 2013 Common Core Lesson 1-1 Rational Numbers and Decimals August 28, 2013 Focus: How can you convert a rational number to a decimal? August 28, 2013 To be successful in this section, you must be able to: Divide (by hand) multi-digit numbers. This means long division!! August 28, 2013 Vocabulary Rational Number: a number that can be written as a ratio (fraction) of two integers. Example: 5/8 is rational .89 is rational because it is 89/100 August 28, 2013 Use a calculator to find the equivalent decimal form of each fraction. Remember that repeating numbers like .333333 can be written as .3. Then find the equivalent fraction for the last two. Fraction Decimal Equivalent 3/4 5/8 1/3 2/9 11/8 0.8 0.125 What do you notice about the digits after the decimal point in the decimal forms of fractions? Compare notes with your neighbor and refine your conjecture if necessary. August 28, 2013 Reflect: 1) consider the decimal 0.202002000200002000002... Do you think this decimal represents a rational number? 2) Do you think a negative sign affects whether or not a number is a rational number? Use - as -4/5 as an example. 3) Do you think a mixed number is a rational number? Explain. August 28, 2013 Long Division Time!!!! 1) 5/16 2) 1/11 Question...Do you think that decimals that have repeating patterns always have the same number of digits in their pattern? Explain. August 28, 2013 Writing Mixed Numbers as Decimals Mrs. Kirchner bought 3 1/8 yards of material to make an outfit for her husband. Write 3 1/8 as a decimal. Step 1: turn to improper fraction Step 2: Divide numerator by denominator August 28, 2013 Keep Trying... Ms. Crane made 4 1/5 quarts of kool aid. Write 4 1/5 as a decimal. Mrs. Phillips bought a cantaloup that weighed 6 2/3 pounds. Write 6 2/3 as a decimal. August 28, 2013 So.... Look at the decimal 0.131133111333...if the pattern continues, is this a repeating decimal? Explain. August 28, 2013 Essential Question (journal time)... How can you convert a rational number to a decimal? August 28, 2013 Accelerated Math August 28, 2013 Rational numbers Irrational numbers August 28, 2013 Irrational Fun!!!!