Answers - Exponential (Scientific) Notation


1.

a. 1 x 103

b. 1 x 109

c. 1 x 10-6

d. 1.622 x 104

e. 2.126 x 102

f. 1.89 x 10-1

g. 6.18 x 100

h. 7.846 x 10-8

2.

a. 0.0012

b. 64

c. 3.0

d. 410,000

e. 0.000 001 4

3.

a. 3 x 103

b. 10,000

c. 2 x 10-4

d. 4 x 108

e. 1.5 x 10-2

f. same

4. 2.0 x 10-5 < 7.1 x 10-5 < 6.0 x 10-2 < 3.6 x 10-1 < 4.6 x 103

5.

a. 9.30 x 1012

b. 6.3 x 105

c. 1.05 x 10-2

d. 3.90 x 1016

e. 1.26 x 103

6.

a. 5.18 x 10-3

b. 2.0 x 101

c. 3.38 x 1015

d. 1.48 x 10-18

7.

a. 4.67 x 10-6

b. 1.2 x 1014

c. 3.6 x 10-41

d. 3.0 x 103

e. 9.2 x 102

8.

a. 2.5 x 10-1

b. 4.02 x 10-4

c. 2.78 x 103

d. 2.0 x 106

e. 3.1 x 101

9.

a. 4.71 x 104

b. 6.20 x 104

c. 8.05 x 105

d. 9.75 x 104

10.

a. 5.47 x 10-2

b. 2.45 x 10-4

c. 6.37 x 10-10

d. 6.02 x 1023

11.

mass: 6.65 x 10-24

g radius: 4.6 x 10-9 cm

speed: 1.36 x 105 cm/s

12. 0.000 013; 1.6 x 10-2; 4.5 x 10-2

13. B is fastest, C is slowest.

14. Fe(OH)3 < Al(OH)3 < Cr(OH)3 < Fe(OH)2 < Mg(OH)2

15. He: 4.003 g (lightest); N: 14.00 g; Sr: 87.62 g (heaviest)

16.

conc. H1 conc. OH-conc. H1/conc. OH-
4.0 x 10-11 2.5 x 10-4 1.6 x 10-7
3.6 x 10-8 2.8 x 10-7 1.3 x 10-1
10-6 10-8102

17. n 1 2 3

r 5.3 x 10-9 2.1 x 10-8 4.7 x 10-8

18. 1.0 1.8 x 10-4 1.8 x 10-4

0.10 5.7 x 10-5 5.7 x 10-4

0.010 1.8 x 10-5 1.8 x 10-3

19. p H2 5 1.224 x 103 mm Hg 5 9.80 x 102 mm Hg 5 2.44 x 102 mm Hg

20. 12.02 kJ 1 0.65 kJ 5 12.67 kJ

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