Basic Mathematics for College Students

6.1 Percents, Decimals, and Fractions 509

1. a.42% b.56% 2.^2325 3.1,000^133 4. 65 5. a.^2110 b.5,000^27 6. a.0.1643 b.0.0206

ANSWERS TO SELF CHECKS

7.0.0375 8. a. 6 b.0.008 9.53.43% 10.87.5% 11.250% 12. 66 23 %66.7%

SECTION 6.1 STUDY SET

VOCABULARY

Fill in the blanks.

1. means parts per one hundred.


2. The word percentis formed from the prefix per,which
   means , and the suffix cent,which comes from
   the Latin word centum,meaning.

CONCEPTS

Fill in the blanks.

3. To write a percent as a fraction, drop the % symbol
   and write the given number over. Then
   the fraction, if possible.


4. To write a percent as a decimal, drop the % symbol
   and divide the given number by 100 by moving the
   decimal point 2 places to the.


5. To write a decimal as a percent, multiply the decimal
   by 100 by moving the decimal point 2 places to the
   , and then insert a % symbol.


6. To write a fraction as a percent, first write the fraction
   as a. Then multiply the decimal by 100 by
   moving the decimal point 2 places to the right, and
   then insert a symbol.

NOTATION

7. What does the symbol % mean?


8. Write the whole number 45 as a decimal.

GUIDED PRACTICE

What percent of the figure is shaded? What percent of the figure is
not shaded? See Objective 1.

In the following illustrations, each set of 100 square regions

represents 100%. What percent is shaded?

11.

12.

For Problems 13–16,see Example 1.

13. THE INTERNET The following sentence appeared
    on a technology blog: “Ask Internet users what they
    want from their service and 99 times out of 100 the
    answer will be the same: more speed.” According to
    the blog, what percent of the time do Internet users
    give that answer?


14. BASKETBALL RECORDS In 1962, Wilt
    Chamberlain of the Philadelphia Warriors scored a
    total of 100 points in an NBA game. If twenty-eight of
    his points came from made free throws, what percent
    of his point total came from free throws?


15. QUILTS A quilt is made from 100 squares of colored
    cloth.
    a. If fifteen of the squares are blue, what percent of
    the squares in the quilt are blue?
    b. What percent of the squares are not blue?


16. DIVISIBILITY Of the natural numbers from 1
    through 100, only fourteen of them are divisible
    by 7.
    a. What percent of the numbers are divisible
    by 7?
    b. What percent of the numbers are not divisible
    by 7?