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In a state with a population of 5,000,000 people, the average citizen spends $6,000

Question : In a state with a population of 5,000,000 people, the average citizen spends $6,000 : 2151841

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Simplify the exponential expression. Assume that variables represent nonzero real numbers.

1) 436

A) 384

B) 13,824

C) 72

D) 70

2) (-6)3

A) -18

B) 216

C) -216

D) 18

3) -34

A) -12

B) 12

C) -81

D) 81

4) ((4x4)3/x15)

A) (64/x3)

B) (64/x27)

C) (64/x8)

D) (4/x3)

5) (-3x4y-5)(5x-1y)

A) -15x3y6

B) (-15x5/y6)

C) (-15x3/y4)

D) (2x3/y4)

6) (5-8x-1y2/5-5x-4y4)

A) (125/x3y2)

B) (1/125x4y2)

C) (3x3/y2)

D) (x3/125y2)

7) ((xy3/x6y))-2

A) (x10/y4)

B) (1/x14y8)

C) (y4/x10)

D) (1/x8y7)

8) ((8x-4y-2z4/2xy-2z-4))-2

A) (4x10/z16)

B) (x10y4/16z16)

C) (x6/16z16)

D) (x10/16z16)

Write the number in decimal notation without the use of exponents.

9) 4 × 102

A) 0.04

B) 4000

C) 0.004

D) 400

10) 6 × 104

A) 0.0006

B) 600,000

C) 0.00006

D) 60,000

11) 4.57 × 107

A) 457,000,000

B) 319.9

C) 4,570,000

D) 45,700,000

12) 6.84 × 10-4

A) 0.000684

B) -684,000

C) 0.0000684

D) 0.00684

13) 2.788 × 10-6

A) -2,788,000

B) 0.0000002788

C) 0.00002788

D) 0.000002788

14) -2.80 × 103

A) -2800

B) -28,000

C) 2800

D) -280

15) -8.9784 × 106

A) -8,978,400

B) -538.704

C) -89,784,000

D) -897,840

Write the number in scientific notation.

16) 77,570

A) 7.757 × 105

B) 7.757 × 101

C) 7.757 × 10-4

D) 7.757 × 104

17) 25,000

A) 2.5 × 104

B) 2.5 × 105

C) 2.5 × 10-4

D) 2.5 × 10-5

18) 51,000,000

A) 5.1 × 10-7

B) 5.1 × 107

C) 5.1 × 10-6

D) 5.1 × 106

19) 2,461,410

A) 2.46141 × 10-6

B) 2.46141 × 106

C) 2.46141 × 107

D) 2.46141 × 101

20) 0.000385

A) 3.85 × 10-3

B) 3.85 × 10-4

C) 3.85 × 104

D) 3.85 × 10-5

21) 0.000047317

A) 4.7317 × 105

B) 4.7317 × 10-5

C) 4.7317 × 104

D) 4.7317 × 10-4

22) 0.0000000220012

A) 2.20012 × 10-9

B) 2.20012 × 10-7

C) 2.20012 × 108

D) 2.20012 × 10-8

Perform the indicated computation. Write the answer in scientific notation.

23) (6 × 10-9)(6.1 × 104)

A) 366 × 10-5

B) 3.66 × 10-4

C) 36.6 × 10-4

D) 3.66 × 10-36

24) (4 × 106)(2.3 × 107)

A) 92 × 1013

B) 9.2 × 1014

C) 9.2 × 1042

D) 9.2 × 1013

25) (9 × 10-6/3 × 104)

A) 3 × 10-10

B) 6 × 10-10

C) 3 × 10-2

D) 6 × 10-2

26) (17.24 × 106/4 × 10-8)

A) 4.31 × 1014

B) 8.62 × 10-2

C) 8.62 × 1014

D) 4.31 × 10-2

27) (15.05 × 101/4.3 × 10-9)

A) 3.5 × 10-8

B) 3.5 × 1010

C) 7 × 1010

D) 7 × 10-8

28) (56,000,000,000,000/0.0000008)

A) 7 × 1019

B) 48 × 1019

C) 7 × 1018

D) 48 × 1018

29) (0.0027 × 0.002/0.009)

A) 6 × 10-4

B) 54 × 105

C) 54 × 10-5

D) 6 × 104

Solve. Express the result in scientific notation. If necessary, round the decimal factor to two decimal places.

30) In a state with a population of 5,000,000 people, the average citizen spends $6,000 on housing each year. What is the total spent on housing for the state?

A) $3 × 1010

B) $30 × 1010

C) $3 × 109

D) $30 × 1011

31) Approximately 9 × 103 employees of a certain company average $30,000 each year in salary. What is the total amount earned by all the employees of this company per year?

A) $2.7 × 108

B) $27 × 108

C) $27 × 109

D) $2.7 × 109

Solution
5 (1 Ratings )

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