22.Explain the difference between the expressions and
23.Concept Check Is true for all a, If not, explain.
24.Concept Check Is true for all a, If not, explain.
Write in scientific notation.
25.13,450 26.0.0000000765 27.0.138
28.In July 2008, the total resident population of the
United States was 304,060,000.Of this amount, 92,000
Americans were centenarians—that is, age 100 or older.
Write the three boldfaced numbers in scientific nota-
tion. (Source:U.S. Census Bureau.)
Write each number in standard notation.
Find each value. Give answers in both scientific notation and standard notation.
33. 34.
- (a)The planet Mercury has an average distance from the sun of mi, while the
average distance from Venus to the sun is mi. How long would it take a
spacecraft traveling at mph to travel from Venus to Mercury? (Give your
answer in hours, in standard notation.)
(b)Use the information from part (a) to find the number of days it would take the space-
craft to travel from Venus to Mercury. Round your answer to the nearest whole num-
ber of days.
5.2 Give the numerical coefficient of each term.
36. 37. 38. 39.
For each polynomial, (a)write it in descending powers, (b)identify it as a monomial,
binomial, trinomial,or none of these,and (c)give its degree.
- 44.Concept Check Give an example of a polynomial in the variable xsuch that the poly-
nomial has degree 5, is lacking a third-degree term, and is in descending powers of the
variable.
Add or subtract as indicated.
45.Add. 46.Subtract.
- 4 x^2 + 2 x- 5 4 y^2 + 2 y+ 9
3 x^2 - 5 x+ 6 - 5 y^3 + 8 y- 3
- 5 y^4 + 3 y^3 + 7 y^2 - 2 y - 7 q^5 r^3
9 k+ 11 k^3 - 3 k^214 m^6 + 9 m^7
504 p^3 r^5
x
10
14 p^5 - z
1.55* 103
6.7* 107
3.6* 107
0.0009*12,000,000
400,000
0.0000000164
0.0004
6 * 10 -^2
4 * 10 -^5
16 * 104
8 * 108
1.21 106 5.8 10 -^3
1 ab 2 -^1 =ab-^1 bZ0?
a bZ0?
a
b
b
a-^1
b-^1
1 - 620 - 60.
312 CHAPTER 5 Exponents, Polynomials, and Polynomial Functions
