[...]... 5 = 50 =2+8× within the pa renthese 4 11 (10 + 14 ) ÷ (3 + 3) = 4 12 no any powers (S 13 no 2 + 8 × 4 = 2 ee p 15 8.) + 32 14 no 15 yes 16 3 × 11 17 3 • Multiply ×5×7 2 + 32 = 34 or divide from 18 2 × 2 × 3 × 3 × 5 left to r • Add or su So, 2 + 8 × btract from le (9 - 5) = ft to righ p 67 19 15 20 7 21 6 22 34 15 23 24 24 80 25 6 26 -13 27 15 28 -25 29 6 30 -1 31 -18 32 0 33 28 34 -4 Ch 35 7 36 36 eck... computatio e answer to ns, mathem a series aticians hav which to d e agreed o o the oper n an ord ations 1 Numbers and Computation 1 30,000 2 30,000,000 3 (2 × 10 ,000) + (4 × 1, 000) + (3 × 10 0) EXAMPLE + (7 × 10 ) + (8 × 1) Using the Ord er of Operati Simplify 2 4 566, 418 ; 496, 418 ; 56, 418 ; 5, 618 ons + 8 × (9 5) 5 52,564,760; 52,565,000; 53,000,000 2 + 8 × (9 6 0 - 5) 7 15 8 400 9 1, 600 10 (4 + 6) • Simplify... -4 -3 -2 -1 0 1 2 3 4 5 The absolute value of -2 is 2 or |-2| = 2 accuracy the exactness of a number see 7 1 Systems of Measurement Examples: Rounding 62.42 812 to three decimal places (62.428) is more accurate than rounding 62.42 812 to two decimal places (62.43) Rounding 62.42 812 to two decimal places (62.43) is more accurate than rounding 62.42 812 to one decimal place (62.4) Rounding 62.42 812 to one... complementary if the sum of their measures is 90° see 6 1 Classifying Angles and Triangles 1 2 1 and ∠2 are complementary angles composite number a whole number greater than 1 having more than two factors see 1 4 Factors and Multiples concave polygon a polygon that has an interior angle greater than 18 0° Example: 270° a concave polygon HotWords 11 cone a three-dimensional figure consisting of a circular... and Division of Fractions, 3 1 Powers and Exponents, 6 1 Naming and Classifying Angles and Triangles Example: 3 and 11 are factors of 33 factorial represented by the symbol !, the product of all the whole numbers between 1 and a given positive whole number Example: 5! = 1 × 2 × 3 × 4 × 5 = 12 0 factor pair two unique numbers multiplied together to yield a product HotWords 21 ... 310 7•3 Area, Volume, and Capacity Area 311 Volume 312 Capacity 313 Exercises 314 7•4 Mass and Weight Mass and Weight 315 Exercises ... ance from zero m0 -2 is 2 units fro 4 3 2 1 0 -2 -1 | = 2 -5 -4 -3 2 or |-2 value of -2 is The absolute xiv 5 s of see 7 1 System of a number the exactness accuracy aces Measurement ree decimal pl 2 812 62.42 812 to th rounding 62.4 es: Rounding Exampl rate than 8) is more accu (62.42 ) al places (62.43 ) to two decim al places (62.43 to two decim ding 62.42 812 2 812 to one Roun ng 62.4 te than roundi is... 37 -30 38 -60 39 It will be a Simp negative integer lify 40 It will be a positive integer 1 20 - 2 × 5 3 (8 × 2) 2 3 × (2 + 1 1 Place Value of Whole Num - 16 16 ) 2 1 Part One e Hot Words The HotWords section includes a glossary of terms, lists of formulas and symbols, and a collection of common or significant mathematical patterns Many entries in the glossary will refer to chapters and topics in the... well-known additive system This is another example of an additive system: □ If □ equals 1 and equals 7, then □ equals 7 + 7 + 1 = 15 algebra a branch of mathematics in which symbols are used to represent numbers and express mathematical relationships see Chapter 5 Algebra algorithm a step-by-step procedure for a mathematical operation HotWords 5 altitude the perpendicular distance from a vertex to the... include 12 30, 1. 23, 0.23, and -13 HotWords 15 HOTWORDS degree [1] (algebraic) the exponent of a single variable in a simple algebraic term; [2] (algebraic) the sum of the exponents of all the variables in a more complex algebraic term; [3] (algebraic) the highest degree of any term in a polynomial; [4] (geometric) a unit of measurement of an angle or arc, represented by the symbol ° see 3 1 Powers . + 14 ) ÷ (3 + 3) = 4 12 . no 13 . no 14 . no 15 . yes 16 . 3 × 11 17 . 3 × 5 × 7 18 . 2 × 2 × 3 × 3 × 5 p. 67 19 . 15 20. 7 21. 6 22. 15 23. 24 24. 80 25. 6 26. -13 27. 15 28. -25 29. 6 30. -1 31. . America. 1 2 3 4 5 6 7 8 9 10 0 71 17 16 15 14 13 12 11 10 09 08 00i_ii_G6FM_8 915 04.indd ii00i_ii_G6FM_8 915 04.indd ii 8/28/08 4:30:24 PM8/28/08 4:30:24 PM Handbook at a Glance iii Handbook at a. × 10 ,000) + (4 × 1, 000) + (3 × 10 0) + (7 × 10 ) + (8 × 1) 4. 566, 418 ; 496, 418 ; 56, 418 ; 5, 618 5. 52,564,760; 52,565,000; 53,000,000 6. 0 7. 15 8. 400 9. 1, 600 10 . (4 + 6) × 5 = 50 11 . (10