Basic Mathematics for College Students

114 Chapter 1 Whole Numbers

When we don’t need exact results, we often

roundnumbers.

Rounding a Whole Number

1. To round a number to a certain place
   value, locate the rounding digitin that
   place.


2. Look at the test digit,which is directly to
   the right of the rounding digit.


3. If the test digit is 5 or greater, round up by
   adding 1 to the rounding digit and
   replacing all of the digits to its right with 0.
   If the test digit is less than 5, replace it and all
   of the digits to its right with 0.

Round 9,842 to the nearest ten.

Rounding digit: tens column

9,842

Test digit: Since 2 is less than 5, leave the rounding digit

unchanged and replace the test digit with 0.

Thus, 9,842 rounded to the nearest ten is 9,840.

Round 63,179 to the nearest hundred.

Rounding digit: hundreds column

63,179

Test digit: Since 7 is 5 or greater, add 1 to the rounding digit and

replace all the digits to its right with 0.

Thus, 63,179 rounded to the nearest hundred is 63,200.









Whole numbers are often used in tables, bar

graphs,and line graphs.

See page 9 for an example of a table, a bar graph, and a line graph.

REVIEW EXERCISES

Consider the number 41,948,365,720.

1. Which digit is in the ten thousands column?


2. Which digit is in the hundreds column?


3. What is the place value of the digit 1?


4. Which digit tells the number of millions?


5. Write each number in words.
   a. 97,283
   b. 5,444,060,017


6. Write each number in standard form.
   a. Three thousand, two hundred seven
   b. Twenty-three million, two hundred fifty-three
   thousand, four hundred twelve
   Write each number in expanded form.
   7. 570,302
   8. 37,309,154

Graph the following numbers on a number line.

9. 0, 2, 8, 10

0 1 2 3 4 56 789 10

0 1 2 3 4 56 789 10

10. the whole numbers between 3 and 7
    13. Round 2,507,348
    a. to the nearest hundred
    b. to the nearest ten thousand
    c. to the nearest ten
    d. to the nearest million
    14. Round 969,501
    a. to the nearest thousand
    b. to the nearest hundred thousand
    15. CONSTRUCTION The following table lists the
    number of building permits issued in the city of
    Springsville for the period 2001–2008.

Year 2001 2002 2003 2004 2005 2006 2007 2008

Building 12 13 10 7 9 14 6 5

permits

Place an or an symbol in the box to make a true

statement.

11. 9 7 12.301 310

 

a. Construct a bar graph of the data.

5

10

15

Permits issued

Year

Bar graph

2001 2002 2003 20042005 2006 20072008