Basic Mathematics for College Students

To write a number in expanded form

(expanded notation)means to write it as an

addition of the place values of each of its

digits.

The expanded form of 32,159 is:

30,000  2,000  100  50  9

Whole numbers can be shown by drawing

points on a number line.

The graphs of 3 and 7 are shown on the number line below.

Inequality symbolsare used to compare whole

numbers:

means is greater than

means is less than

 and

1  2 and 9,00012,453

9  8 2,343 762

To change from the written-word form of a

number to standard form, look for the

commas. Commas are used to separate

periods.

Six billion forty-one million two hundred eight thousand thirty-six

6,041,208,036

, , ,

MillionsThousands Ones

Two million,five hundred sixty-eight thousand,nineteen

2 , 5 6 8 , 0 1 9

To write a whole number in words,start from

the left. Write the number in each period

followed by the name of the period (except

for the ones period,which is not used). Use

commas to separate the periods.

To read a whole number out loud,follow the

same procedure. The commas are read as

slight pauses.

  

   

0 1 2 3 4 56 78

CHAPTER 1 SUMMARY AND REVIEW

SECTION 1.1 An Introduction to the Whole Numbers

The set of whole numbersis

When a whole number is written using the

digits it is said to be in

standard form.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9,

{0, 1, 2, 3, 4, 5, p }.

DEFINITIONS AND CONCEPTS EXAMPLES

Some examples of whole numbers written in standard form are:

2, 16, 530, 7,894, and 3,201,954

5203796

Hundred trillionsTen trillionsTrillionsTen billionsBillionsTen millionsMillions

,,,, 841256

ThousandsHundredsTensOnes

Hundred billionsHundred millionsHundred thousandsTen thousand

s

Trillions Billions Millions Thousands Ones

The position of a digit in a whole number PERIODS

determines its place value.A place-value chart

shows the place value of each digit in the

number.

To make large whole numbers easier to read,

we use commas to separate their digits into

groups of three, called periods.

The place value of the digit 7 is 7 ten millions.

The digit 4 tells the number of thousands.

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