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Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 1.2 Place Value, Names for Numbers, and Reading Tables

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Martin-Gay, Prealgebra & Introductory Algebra, 3ed 22 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. The position of each digit in a number determines its place value. 3 5 6 8 9 4 0 2 OnesHundred-thousandsHundred-billionsTen-billionsBillionsHundred-millionsTen-millionsMillionsTen-thousandsThousandsHundredsTens Place Value

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Martin-Gay, Prealgebra & Introductory Algebra, 3ed 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 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.MillionsThousandsBillionsOnes 3 5 6 8 9 4 0 2 Ones Hundred-thousandsHundred-billionsTen-billionsBillionsHundred-millionsTen-millionsMillionsTen-thousandsThousandsHundredsTens Writing a Number in Words

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Martin-Gay, Prealgebra & Introductory Algebra, 3ed 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. To write a whole number in words, write the number in each period followed by the name of the period. thirty-five million, six hundred eighty-nine thousand, four hundred two 3 5 6 8 9 4 0 2 Ones Hundred-thousandsHundred-billionsTen-billionsBillionsHundred-millionsTen-millionsMillionsTen-thousandsThousandsHundredsTens Writing a Number in Words

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Martin-Gay, Prealgebra & Introductory Algebra, 3ed 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 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. Helpful Hint

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Martin-Gay, Prealgebra & Introductory Algebra, 3ed 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 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. 4,786 = 4000 + 700 + 80 + 6 Standard Form Expanded Form

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Martin-Gay, Prealgebra & Introductory Algebra, 3ed 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Comparing Whole Numbers We can picture whole numbers as equally spaced points on a line called the number line. A whole number is graphed by placing a dot on the number line. The graph of 4 is shown. 054123

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Martin-Gay, Prealgebra & Introductory Algebra, 3ed 88 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 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. 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 054123

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Martin-Gay, Prealgebra & Introductory Algebra, 3ed 99 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 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

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Martin-Gay, Prealgebra & Introductory Algebra, 3ed 10 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. One way to remember the meaning of the inequality symbols is to think of them as arrowheads “pointing” toward the smaller number. For example, 2 2 are both true statements. Helpful Hint

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Martin-Gay, Prealgebra & Introductory Algebra, 3ed 11 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Reading Tables GoldSilverBronzeTotal 10710486297 1138378274 949274260 697151191 415764162 Source: The Sydney Morning Herald, Flags courtesy of www.theodora.com/flags used with permission Germany Russia Norway USA Austria Most Medals Olympic Winter (1924 – 2002) Games

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