Sig. Figs. & Sci. Notation-Worksheet & Answer Key

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Worksheet 1 Scientific Notation/Significant Figures

1. Convert each of the following into scientific notation.

a) 3427 d) 172 g) 3100.0 x 10 2 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 10 4 k) 2205.2

n) 0.0473 q) 20.4 x 10 5 t) 1362205.2

c) 123,453 f) 0.502

i) 107.2

l) 30.0 x 10 o) 650.502

r) 1.29

u) 450.0 x 10 3 2. Determine the number of significant figures in each of the following: -2 a) 3427 d) 172 g) 3100.0 x 10 2 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 10 4 k) 2205.2

n) 0.0473 q) 20.4 x 10 5 t) 1362205.2

w) 546,000 + 10 3. Convert each into decimal form.

1.56 x 10 4 0.00259 x 10 5 0.00259 x 10 3 0.56 x 10 -2 0.000459 x 10 0.0209 x 10 -3 -1 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 10 3 x) 546,000 + 1000 3.69 x 10 -2 13.69 x 10 -2 736.9 x 10 5 6.9 x 10 4 4. Calculate the following. Give the answer in correct scientific notation.

a) 4.53 x 10 5 b) 1913.0

+ 2.2 x 10 6 - 4.6 x 10 3 c) 2.34 x 10 24 d) 2.130 x 10 3 + 1.92 x 10 23 - 6.6 x 10 2 e) 9.10 x 10 3 f) 1113.0

+ 2.2 x 10 6 - 14.6 x 10 2 g) 6.18 x 10 -45 h) 4.25 x 10 -3 + 4.72 x 10 -44 - 1.6 x 10 -2 5. Calculate the following. Give the answer in correct scientific notation.

a) 3.95 x 10 2 / 1.5 x 10 6 b) (3.5 x 10 2 )(6.45 x 10 10 ) c) 4.44 x 10 7 / 2.25 x 10 5 d) (4.50 x 10 -12 )(3.67 x 10 -12 ) e) 1.05 x 10 -26 / 4.2 x 10 56 f) (2.5 x 10 9 )(6.45 x 10 4 ) g) 6.022 x 10 23 / 3.011 x 10 -56 h) (6.88 x 10 2 )(3.45 x 10 -10 )

Answers - Worksheet 1 1. Convert each of the following into scientific notation.

a) 3.427 x 10 3 d) 1.72

x 10 2 g) 3.1000 x 10 5 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 10 0 = 1.000

b) 4.56 x 10 -3 e) 9.84

x 10 -4 h) 1.14 x 10 2 k) 2.2052 x 10 3 n) 4.73

x 10 -2 q) 2.04 x 10 6 t) 1.3622052 x 10 6 c) 1.23453

x 10 5 f) 5.02

x 10 -1 i) 1.072

x 10 2 l) 3.00 x 10 -1 o) 6.50502

x 10 2 r) 1.29 x 10 0 = 1.29

u) 4.500 x 10 5 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) e) 3 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

4. Calculate the following. Give the answer in correct scientific notation.

a) 2.7 x 10 6 c) 2.53 x 10 24 e) 2.2 x 10 6 g) 5.34 x 10 -44 b) -2.7 x 10 3 d) 1.47 x 10 3 f) -3.5 x 10 2 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 10 2 e) 2.5 x 10 -83 g) 2.000 x 10 79 b) h) 2.3 x 10 13 f) 1.6 x 10 14 2.37 x 10 d) 1.65 x 10 -23 -7 73690000 + 10000 69000 + 1000 Scientific Notation/Significant Figures

Worksheet 2 Scientific Notation/Significant Figures

1. Convert each of the following into scientific notation. 727 _________________________________ 172000 _________________________________ 0.000984 _________________________________ 200.0 x 10 2 _________________________________ 0.014 x 10 2 _________________________________ 2560000000000000000000000000000000 __________________________ (use 4 sig. fig. for the last one) 2. Convert each into decimal form.

1.56 x 10 4 _________________________________ 3.6 x 10 -2 _________________________________ 736.9 x 10 5 _________________________________ 0.0059 x 10 5 _________________________________ 0.00059 x 10 -1 _________________________________ 3. Calculate the following. Give the answer in correct scientific notation.

a) 2.34 x 10 65 b) 313.0

+ 9.2 x 10 66 - 1.2 x 10 3 4. Calculate the following. Give the answer in correct scientific notation.

a) 8.95 x 10 76 / 1.25 x 10 56 b) (4.5 x 10 29 )(2.45 x 10 100 ) 5. Give the number of significant figures in each of the following.

a) 1.05 g ______ b) 0.0003040 mm ______ c) 29000 + 10 ft ______ d) 0.90 x 10 45 L ______ e) the number of eggs (12) that make up a dozen ______ 6. Determine the answer for each of the following. Be sure to use the correct number of significant figures.

a) 17.34 b) 9.80

4.900 - 4.762

+ 23.1

c) 3.9 x 6.05 x 420 = d) 14.1 / 5 = 7. Round each of the following to 3 significant figures.

77.0653 ____________ 6,300,178.2 ______________ 0.00023350 _____________ 10.2030 _______________ 2.895 x 10 21 ______________

1. Convert each of the following into scientific notation. 7.27 x 10 2 1.72000 x 10 5 9.84

x 10 -4 2.000 x 10 4 1.4

2.560

x 10 33 2. Convert each into decimal form.

15600 + 100 0.036

73690000 + 10000 590 + 10 0.000059

3. Calculate the following. Give the answer in correct scientific notation.

a) 9.434 x 10 66 b) - 8.87 x 10 2 4. Calculate the following. Give the answer in correct scientific notation.

a) 7.16 x 10 20 b) 1.1025 x 10 130 5. Give the number of significant figures in each of the following.

a) 1.05 g 3 b) 0.0003040 mm 4 c) 29000 + 10 ft 4 d) 0.90 x 10 45 L 2 e) the number of eggs (12) that make up a dozen infinite 6. Determine the answer for each of the following. Be sure to use the correct number of significant figures.

a) 45.3

b) 5.04

c) 9.9 x 10 3 d) 3 7. Round each of the following to 3 significant figures.

77.1 0.000234

2.90 x 10 21 6.30 x 10 6 10.2

Worksheet 3 Scientific Notation/Significant Figures

1. Give the number of significant figures in each of the following. a) 10.0005 g ______ b) 0.003423 mm ______ c) 2900 + 100 ft ______ d) 8.9 x 10 5 L ______ e) the number of minutes (60) that make up an hour ______ 2. Determine the answer for each of the following. Be sure to use the correct number of significant figures.

a) 27.34 b) 2.8023

6.90 - 4.762

+ 13.124

c) 0.32 x 14.50 x 120 = d) 24.1 / 0.005 = 3. Round each of the following to 3 significant figures.

707.5 ____________ 2,300.2 ______________ 0.0003350 _____________ 10.26730 _______________ 18.95 x 10 21 ______________ 4. Convert each of the following into correct scientific notation.

1747 _________________________________ 0.00000984 ___________________________ 3200.0 x 10 2 ____________________________ 0.002014 x 10 2 __________________________ 25600000000000000 ______________________ (use 4 sig. fig. for the last one only) 5. Calculate the following using the correct number of significant figures.

a) 2.34 x 10 47 b) 9132.0

+ 9.2 x 10 46 - 1.6 x 10 3 6. Calculate the following using the correct number of significant figures.

a) (1.54 x 10 58 )(3.5 x 10 60 ) b) (7.9 x 10 34 ) / (8.32 x 10 23 )

Answers - Worksheet 3

1. Give the number of significant figures in each of the following. a) 10.0005 g 6 b) 0.003423 mm 4 c) 2900 + 100 ft 2 d) 8.9 x 10 5 L 2 e) the number of minutes (60) that make up an hour infinite 2. Determine the answer for each of the following. Be sure to use the correct number of significant figures.

a) 47.36

b) -1.960

c) 5.6

x 10 2 d) 5 x 10 3 3. Round each of the following to 3 significant figures.

708 2.30 x 10 3 0.000335 10.3

19.0 x 10 21 4. Convert each of the following into correct scientific notation.

1.747 x 10 3 9.84 x 10 -6 3.2000 x 10 5 2.014 x 10 -1 2.560 x 10 16 5. Calculate the following using the correct number of significant figures.

a) 3.26 x 10 47 b) 7.5 x 10 3 6. Calculate the following using the correct number of significant figures.

a) 5.4 x 10 118 b) 9.5 x 10 10

Scientific Notation/Significant Figures

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