Main Goals for Chapter 6

• To become familiar with important sets of numbers: naturals, whole numbers, integers, rationals, irrationals and reals
• To understand properties of numbers and how to use them for applications
• To understand rational numbers in terms of a fraction or a decimal
• To understand irrational numbers and their decimal representations

Section 6.1 Real Numbers, Order and Absolute Value. Key Ideas: sets of numbers (naturals, whole numbers, integers, rationals, irrationals and reals), comparing numbers (less than, equal, greater than), double negative rule, absolute value. Sample exercises (pages 254-257): odd 1-75

Section 6.2  Operations, Properties and Applications of Real Numbers.  Key Ideas: addition, subtraction, multiplication, division, order of operations (BEDMAS), properties (closure, commutative, associative, identity, inverse and distributive).  Sample exercises (pages 265-269): 7-57 (odd), 61, 69-75 (odd), 87, 89, 91

Section 6.3  Rational Numbers and Decimal Representation.  Key Ideas: rationals as fractions, operations on fractions, density property of rationals, decimals as rationals, converting rationals from fraction to decimal or decimal to fraction.  Sample exercises (pages 279-283): 1-13 (odd), 17-37 (odd), 59, 61, 63, 75, 77, 79, 81, 83, 85, 87

Section 6.4  Irrational Numbers and Decimal Representation.  Key Ideas: irrationals as decimals, working with square roots.   Sample exercises (pages 290-293): 1-43 (odd), 53, 55, 57

 Chapter 6 Slides

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last updated January 4, 2012