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Module by: Denny Burzynski, Wade Ellis. E-mail the authorsEdited By: Math Editors

Summary: This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module discusses how to read and write whole numbers. By the end of this module, students should be able to read and write whole numbers.

Section Overview

• Writing Whole Numbers

Because our number system is a positional number system, reading and writing whole numbers is quite simple.

To convert a number that is formed by digits into a verbal phrase, use the following method:

1. Beginning at the right and working right to left, separate the number into distinct periods by inserting commas every three digits.
2. Beginning at the left, read each period individually, saying the period name.

Sample Set A

Write the following numbers as words.

Example 1

1. Beginning at the right, we can separate this number into distinct periods by inserting a comma between the 2 and 9.
42,958
2. Beginning at the left, we read each period individually:

Forty-two thousand, nine hundred fifty-eight.

Example 2

1. Beginning at the right, we can separate this number into distinct periods by placing commas between the 1 and 3 and the 7 and 9.
307,991,343
2. Beginning at the left, we read each period individually.

Three hundred seven million, nine hundred ninety-one thousand, three hundred forty-three.

Example 3

1. Beginning at the right, we can separate this number into distinct periods by placing commas. 36,000,000,001
2. Beginning at the left, we read each period individually.

Thirty-six trillion, one.

Practice Set A

Write each number in words.

Exercise 1

12,542

Solution

Twelve thousand, five hundred forty-two

Exercise 2

101,074,003

Solution

One hundred one million, seventy-four thousand, three

Exercise 3

1,000,008

Solution

One million, eight

Writing Whole Numbers

To express a number in digits that is expressed in words, use the following method:

1. Notice first that a number expressed as a verbal phrase will have its periods set off by commas.
2. Starting at the beginning of the phrase, write each period of numbers individu­ally.
3. Using commas to separate periods, combine the periods to form one number.

Sample Set B

Write each number using digits.

Example 4

Seven thousand, ninety-two.

Using the comma as a period separator, we have

7,092

Example 5

Fifty billion, one million, two hundred thousand, fourteen.

Using the commas as period separators, we have

50,001,200,014

Example 6

Ten million, five hundred twelve.

The comma sets off the periods. We notice that there is no thousands period. We'll have to insert this ourselves.

10,000,512

Practice Set B

Express each number using digits.

Exercise 4

One hundred three thousand, twenty-five.

103,025

Exercise 5

Six million, forty thousand, seven.

6,040,007

Exercise 6

Twenty trillion, three billion, eighty million, one hundred nine thousand, four hundred two.

Solution

20,003,080,109,402

Exercise 7

Eighty billion, thirty-five.

80,000,000,035

Exercises

For the following problems, write all numbers in words.

Exercise 8

912

Solution

nine hundred twelve

84

Exercise 10

1491

Solution

one thousand, four hundred ninety-one

8601

Exercise 12

35,223

Solution

thirty-five thousand, two hundred twenty-three

71,006

Exercise 14

437,105

Solution

four hundred thirty-seven thousand, one hundred five

201,040

Exercise 16

8,001,001

Solution

eight million, one thousand, one

16,000,053

Exercise 18

770,311,101

Solution

seven hundred seventy million, three hundred eleven thousand, one hundred one

83,000,000,007

Exercise 20

106,100,001,010

Solution

one hundred six billion, one hundred million, one thousand ten

3,333,444,777

Exercise 22

800,000,800,000

Solution

eight hundred billion, eight hundred thousand

Exercise 23

A particular community college has 12,471 students enrolled.

Exercise 24

A person who watches 4 hours of television a day spends 1460 hours a year watching T.V.

Solution

four; one thousand, four hundred sixty

Exercise 25

Astronomers believe that the age of the earth is about 4,500,000,000 years.

Exercise 26

Astronomers believe that the age of the universe is about 20,000,000,000 years.

twenty billion

Exercise 27

There are 9690 ways to choose four objects from a collection of 20.

Exercise 28

If a 412 page book has about 52 sentences per page, it will contain about 21,424 sentences.

Solution

four hundred twelve; fifty-two; twenty-one thousand, four hundred twenty-four

Exercise 34

In 1981, there were 1,956,000 students majoring in business in U.S. colleges.

Solution

one thousand, nine hundred eighty one; one million, nine hundred fifty-six thousand

Exercise 35

In 1980, the average fee for initial and follow up visits to a medical doctors office was about $34. Exercise 36 In 1980, there were approximately 13,100 smugglers of aliens apprehended by the Immigration border patrol. Solution one thousand, nine hundred eighty; thirteen thousand, one hundred Exercise 37 In 1980, the state of West Virginia pumped 2,000,000 barrels of crude oil, whereas Texas pumped 975,000,000 barrels. Exercise 38 The 1981 population of Uganda was 12,630,000 people. Solution twelve million, six hundred thirty thousand Exercise 39 In 1981, the average monthly salary offered to a person with a Master's degree in mathematics was$1,685.

For the following problems, write each number using digits.

Exercise 40

Six hundred eighty-one

681

Exercise 41

Four hundred ninety

Exercise 42

Seven thousand, two hundred one

7,201

Exercise 43

Nineteen thousand, sixty-five

Exercise 44

Five hundred twelve thousand, three

512,003

Exercise 45

Two million, one hundred thirty-three thousand, eight hundred fifty-nine

Exercise 46

Thirty-five million, seven thousand, one hundred one

35,007,101

Exercise 47

One hundred million, one thousand

Exercise 48

Sixteen billion, fifty-nine thousand, four

16,000,059,004

Exercise 49

Nine hundred twenty billion, four hundred sev­enteen million, twenty-one thousand

Exercise 50

Twenty-three billion

23,000,000,000

Exercise 51

Fifteen trillion, four billion, nineteen thousand, three hundred five

Exercise 52

One hundred trillion, one

Solution

100,000,000,000,001

Exercises for Review

Exercise 53

((Reference)) How many digits are there?

Exercise 54

((Reference)) In the number 6,641, how many tens are there?

4

Exercise 55

((Reference)) What is the value of 7 in 44,763?

Exercise 56

((Reference)) Is there a smallest whole number? If so, what is it?

yes, zero

Exercise 57

((Reference)) Write a four-digit number with a 9 in the tens position.

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