Significant Figures Practice Problems PDF

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the understandings of scientific notation to assist you in further studies...

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Worksheet 1 – Scientific Notation and Significant Figures 1. Convert each of the following into scientific notation. a) 3427 d) 172 g) 3100.0 x 102 j) 0.0000455 m) 0.982 x 10-3 p) 3.03 x 10-1 s) 0.00565 v) 1000 x 10-3

b) 0.00456 e) 0.000984 h) 0.0114 x 104 k) 2205.2 n) 0.0473 q) 20.4 x 105 t) 1362205.2

c) 123,453 f) 0.502 i) 107.2 l) 30.0 x 10-2 o) 650.502 r) 1.29 u) 450.0 x 103

2. Determine the number of significant figures in each of the following: a) 3427 d) 172 g) 3100.0 x 102 j) 0.0000455 m) 0.982 x 10-3 p) 3.03 x 10-1 s) 0.00565 v) 1000 x 10-3

b) 0.00456 e) 0.000984 h) 0.0114 x 104 k) 2205.2 n) 0.0473 q) 20.4 x 105 t) 1362205.2 w) 546,000 + 10

c) 123,453 f) 0.502 i) 107.2 l) 30.0 x 10-2 o) 650.502 r) 1.29 u) 450.0 x 103 x) 546,000 + 1000

3. Convert each into decimal form. 1.56 x 104 0.00259 x 105 0.00259 x 103

0.56 x 10-2 0.000459 x 10-1 0.0209 x 10-3

3.69 x 10-2 13.69 x 10-2

736.9 x 105 6.9 x 104

4. Calculate the following. Give the answer in correct scientific notation. a) 4.53 x 105 + 2.2 x 106

b) 1913.0 - 4.6 x 103

c) 2.34 x 1024 + 1.92 x 1023

d)

2.130 x 103 - 6.6 x 102

e) 9.10 x 103 + 2.2 x 106

f)

g) 6.18 x 10-45 + 4.72 x 10-44

h)

4.25 x 10-3 - 1.6 x 10-2

1113.0 - 14.6 x 102

5. Calculate the following. Give the answer in correct scientific notation. a) 3.95 x 102/1.5 x 106 b) (3.5 x 102)(6.45 x 1010) c) 4.44 x 107 /2.25 x 105 d) (4.50 x 10-12)(3.67 x 10-12) e) 1.05 x 10-26/ 4.2 x 1056 f) (2.5 x 109)(6.45 x 104) g) 6.022 x 1023/3.011 x 10-56 h) (6.88 x 102)(3.45 x 10-10)

Answers - Worksheet 1

Scien

1. Convert each of the following into scientific notation. a) 3.427 x 103 d) 1.72 x 102 g) 3.1000 x 105 j) 4.55 x 10-5 m) 9.82 x 10-4 p) 3.03 x 10-1 s) 5.65 x 10-3 v) 1.000 x 100 = 1.000

b) 4.56 x 10-3 e) 9.84 x 10-4 h) 1.14 x 102 k) 2.2052 x 103 n) 4.73 x 10-2 q) 2.04 x 106 t) 1.3622052 x 106

c) 1.23453 x 105 f) 5.02 x 10-1 i) 1.072 x 102 l) 3.00 x 10-1 o) 6.50502 x 102 r) 1.29 x 100 = 1.29 u) 4.500 x 105

2. Determine the number of significant figures in each of the following: a) 4 d) 3 g) 5 j) 3 m) 3 p) 3 s) 3 v) 4

b) 3 e) 3 h) 3 k) 5 n) 3 q) 3 t) 8 w) 5

c) 6 f) 3 i) 4 l) 3 o) 6 r) 3 u) 4 x) 3

3. Convert each into decimal form. 15600 + 100 259 2.59

0.0056 0.0000459 0.0000209

0.0369 0.1369

73690000 + 10000 69000 + 1000

4. Calculate the following. Give the answer in correct scientific notation. a) c) e) g)

2.7 x 106 2.53 x 1024 2.2 x 106 5.34 x 10-44

b) -2.7 x 103 d) 1.47 x 103 f) -3.5 x 102 h) -1.2 x 10-2

5. Calculate the following. Give the answer in correct scientific notation. a) 2.63 x 10-4 c) 1.97 x 102 e) 2.5 x 10-83 g) 2.000 x 1079

b) 2.3 x 1013 d) 1.65 x 10-23 f) 1.6 x 1014 h) 2.37 x 10-7

Ref Arkansas State University Department of Chemistry and Physics. (n.d.). Scientific Notation/Significant Figures. Retrieved from http://myweb.astate.edu/mdraganj/Sigfig1.html...