Copyright © 2011 Pearson Education, Inc.  Publishing as Prentice Hall.

1.2

Place Value, Names for Numbers, and

Reading Tables

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. The position of each digit in a number determines its place value.

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Place Value

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.

MillionsMillions ThousandsThousandsBillionsBillions OnesOnes

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Writing a Number in Words

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 twothirty-five million, six hundred eighty-nine thousand, four hundred two

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Writing a Number in Words

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 The name of the ones period is not used when reading and writing whole numbers. reading and writing whole numbers. Also, the word “and” is not used when reading Also, the word “and” is not used when reading and writing whole numbers. It is used when and writing whole numbers. It is used when reading and writing mixed numbers and some reading and writing mixed numbers and some decimal values as shown later.decimal values as shown later.

Helpful Hint

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 The place value of a digit can be used to write a number in expanded form. The expanded form of a number in expanded form. The expanded form of a number shows each digit of the number with its place number shows each digit of the number with its place value.value.

4,786 = 4000 + 700 + 80 + 6

Standard FormStandard Form Expanded FormExpanded Form

Expanded Form

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 We can picture whole numbers as equally spaced points on a line called the number line.on a line called the number line.

A whole number is graphed by placing a dot on the A whole number is graphed by placing a dot on the number line. The graph of 4 is shown.number line. The graph of 4 is shown.

0 541 2 3

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 For any two numbers graphed on a number line, the number to the number to the rightright is the greater number, and the is the greater number, and the number to the number to the leftleft is the smaller number. is the smaller number.

2 is to the 2 is to the leftleft of 5, so 2 is less than 5 of 5, so 2 is less than 5

5 is to the 5 is to the rightright of 2, so 5 is greater than 2 of 2, so 5 is greater than 2

0 541 2 3

Martin-Gay, Prealgebra & Introductory Algebra, 3ed 99

Copyright © 2011 Pearson Education, Inc.  Publishing as Prentice Hall.

Comparing Numbers . . .

22 is less than is less than 55can be written in symbols ascan be written in symbols as

2 < 52 < 555 is greater than is greater than 22

is written asis written as5 > 25 > 2

Martin-Gay, Prealgebra & Introductory Algebra, 3ed 1010

Copyright © 2011 Pearson Education, Inc.  Publishing as Prentice Hall.

One way to remember the meaning of the inequality One way to remember the meaning of the inequality

symbols < and > is to think of them as arrowheads symbols < and > is to think of them as arrowheads

““pointing” toward the smaller number. pointing” toward the smaller number.

For example, For example,

2 < 5 2 < 5 and and 5 > 2 5 > 2

are both true statements.are both true statements.

Helpful Hint

Martin-Gay, Prealgebra & Introductory Algebra, 3ed 1111

Copyright © 2011 Pearson Education, Inc.  Publishing as Prentice Hall.

Reading Tables

GoldGold SilverSilver BronzeBronze TotalTotal

107107 104104 8686 297297

113113 8383 7878 274274

9494 9292 7474 260260

6969 7171 5151 191191

4141 5757 6464 162162

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GermanyGermany

RussiaRussia

NorwayNorway

USAUSA

AustriaAustria

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