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3.2 Rational Numbers

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Rational Number Any number that can be written in the form of a fraction. a and b have to be integers

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Write Each Number as a Rational Number aka a Fraction

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Write Each Number as a Rational Number aka a fraction tensones.tenthshundredthsthousandthsTen - thousandths

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How do you write a repeating decimal into a fraction? Writing Decimals as Fractions Let me first introduce the shortcut IF and ONLY IF the bar notation is COMPLETELY over ALL of the numbers after the decimal, you can use this shortcut. DISCUSS: Do you notice a pattern? Put all of the digits under bar notation in a fraction with the equal number of 9’s

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Writing Decimals as Fractions Now for the rationale Let’s use algebra to find the fraction of Let’s assign a variable Multiply both sides by 100 Subtract both sides by n Substitute Simplify Divide both sides by 99

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Examples Write each decimal as a fraction in simplest form. A) B) C)

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Rational Vs. Irrational Rational Terminating or repeating decimals Irrational Decimals that do not terminate or repeat Pi

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Identify all Sets to which each number belongs a.) 0 Whole, Integer, Rational b.) 1.313313331… Irrational c.) 1.45 Rational d.) -4 Integer, Rational

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Homework CA Math Page 104 (12-48) even

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