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Rational Numbers: Part 1 Section 1.6 Types of numbers: • • • • • Natural = The numbers you naturally count. Whole = Natural numbers and zero Integers = Positive and negative whole numbers Rational = Numbers that can be written as a ratio Irrational = Numbers than cannot be written as a ratio (fraction between integers) • Real numbers = All rational & irrational numbers • Imaginary numbers = Signified by “i” Square root of a negative number 2 Decimals • Some decimals are rational numbers. • Decimals that are “terminating” or “repeating” are rational numbers. • Terminating = A decimal that has an end .4 .88 .125 • Repeating = A decimal that repeats the same sequence of numbers forever. Comparing Rational Numbers Same denominator: put the numerators in order: ⅛ ⅜ ⅝ ⅞ Smallest Largest •Convert fractions into decimals, if they do not have the same denominator. 4 Greater than or Less than? Remember negative whole numbers: 4 > 2 but -4 < -2 > Convert to decimal if you aren’t sure: -.125 -.500 Put fractions in order, least to greatest A larger numerator or denominator does not necessarily mean the fraction is larger. In notebook: 1) Put the following fractions in order from least to greatest: 2) Put the following in order from least to greatest: -3.3, -3⅓, -3.09 3) Which is greater, 4⅜ or 4.35? 7 Homework: pg 32-34 (1-8 all, 25-28 all, 35, 42-45 all) 8