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1.2 Place Value, Names for Numbers, and Reading Tables Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Place Value Ten-millions Millions Hundred-thousands Ten-thousands Thousands Hundreds Tens Ones Hundred-millions Billions Ten-billions Hundred-billions The position of each digit in a number determines its place value. 3 5 6 8 9 4 0 2 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 2 Writing a Number in Words A whole number such as 35,689,402 is written in standard form. The columns separate the digits into groups of threes. Each group of three digits is a period. Hundred-thousands Ten-thousands Thousands Hundreds Tens Ones Ones Millions Thousands Ten-millions Hundred-millions Millions Billions Ten-billions Hundred-billions Billions 3 5 6 8 9 4 0 2 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 3 Writing a Number in Words Ten-thousands Thousands Hundreds Tens Ones 3 5 Hundred-thousands Millions Ten-millions Hundred-millions Billions Ten-billions Hundred-billions To write a whole number in words, write the number in each period followed by the name of the period. 6 8 9 4 0 2 thirty-five million, six hundred eighty-nine thousand, four hundred two Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 4 Helpful Hint The name of the ones period is not used when reading and writing whole numbers. Also, the word “and” is not used when reading and writing whole numbers. It is used when reading and writing mixed numbers and some decimal values as shown later. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 5 Expanded Form Standard Form 4,786 Expanded Form = 4000 + 700 + 80 + 6 The place value of a digit can be used to write a number in expanded form. The expanded form of a number shows each digit of the number with its place value. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 6 Comparing Whole Numbers We can picture whole numbers as equally spaced points on a line called the number line. 0 1 2 3 4 5 A whole number is graphed by placing a dot on the number line. The graph of 4 is shown. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 7 Comparing Numbers For any two numbers graphed on a number line, the number to the right is the greater number, and the number to the left is the smaller number. 0 1 2 3 4 5 2 is to the left of 5, so 2 is less than 5 5 is to the right of 2, so 5 is greater than 2 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 8 Comparing Numbers . . . 2 is less than 5 can be written in symbols as 2<5 5 is greater than 2 is written as 5>2 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 9 Helpful Hint One way to remember the meaning of the inequality symbols < and > is to think of them as arrowheads “pointing” toward the smaller number. For example, 2 < 5 and 5 > 2 are both true statements. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 10 Reading Tables Most Medals Olympic Winter (1924 – 2002) Games Gold Silver Bronze Total Germany 107 104 86 297 Russia 113 83 78 274 Norway 94 92 74 260 USA 69 71 51 191 Austria 41 57 64 162 Source: The Sydney Morning Herald, Flags courtesy of www.theodora.com/flags used with permission Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Martin-Gay, Prealgebra & Introductory Algebra, 3ed 11