Basic Mathematics for College Students

72. 31958

325

3. a.ninety-eight and six tenths, 98 106 b.two hundred twenty-four and seven thousand

4.1 An Introduction to Decimals

1. a.9 thousandths b. 2 2.1,000 200  70  7  109  1004 1,000^6 10,000^5

ANSWERS TO SELF CHECKS

seven ten-thousandths, (^224) 10,0007,007 c.thirty-five thousand, two hundred seventy-four
millionths,1,000,00035,274 d.negative three hundred forty-five and seven hundred forty-eight
thousandths, 4. a.806.92 b.12.0067 5. a. b. c.

6. 7.24.4166 8. a. b.9.120


7. a.$0.08 b.$24,909

708.5

− 2 −101 2

−1.64−1.1−0.8 1.9

 (^345) 1,000^748   
SECTION 4.1 STUDY SET

VOCABULARY

Fill in the blanks.

1. Decimals are written by entering the digits 0, 1, 2, 3, 4,
   5, 6, 7, 8, and 9 into place-value columns that are
   separated by a decimal.


2. The place-value columns to the left of the decimal
   point form the whole-number part of a decimal
   number and the place-value columns to the right of
   the decimal point form the part.


3. We can show the value represented by each digit of
   the decimal 98.6213 by using form:


4. When we don’t need exact results, we can
   approximate decimal numbers by.

CONCEPTS

5. Write the name of each column in the following
   place-value chart.

98.6213 90  8 

6

10



2

100



1

1,000



3

10,000

4,789.0265

6. Write the value of each column in the following
   place-value chart.


7. Fill in the blanks.
   a. The value of each place in the whole-number part
   of a decimal number is times greater than the
   column directly to its right.





b. The value of each place in the fractional part of

a decimal number is of the value of the place

directly to its left.

8. Represent each situation using a signed number.
   a. A checking account overdrawn by $33.45
   b. A river 6.25 feet above flood stage
   c. 3.9 degrees below zero
   d. 17.5 seconds after liftoff


9. a.Represent the shaded part of the rectangular
   region as a fraction and a decimal.

b. Represent the shaded part of the square region as

a fraction and a decimal.

10. Write as a decimal.


11. Fill in the blanks in the following illustration to label
    the whole-number partand the fractional part.

63.37 

12. Fill in the blanks.
    a. To round $0.13506 to the nearest cent,the
    rounding digit is and the test digit is.
    b. To round $1,906.47 to the nearest dollar,the
    rounding digit is and the test digit is.

63

37

100

400  20  8  109  1001