Worksheet Scientific Notation/Significant Figures

[Pages:6]Worksheet

Scientific Notation/Significant Figures

#1

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) 1113.0 - 14.6 x 102

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

h) 4.25 x 10-3 - 1.6 x 10-2

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)

Worksheet

Scientific Notation/Significant Figures

#2

1. Convert each of the following into scientific notation.

727 _________________________________

172000 _________________________________

0.000984 _________________________________ 200.0 x 102 _________________________________ 0.014 x 102 _________________________________

2560000000000000000000000000000000 __________________________ (use 4 sig. fig.)

2. Convert each into decimal form. 1.56 x 104 _________________________________ 3.6 x 10-2 _________________________________ 736.9 x 105 _________________________________ 0.0059 x 105 _________________________________ 0.00059 x 10-1 _________________________________

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

a) 2.34 x 1065 + 9.2 x 1066

b) 313.0 - 1.2 x 103

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

/ a) 8.95 x 1076 1.25 x 1056

b) (4.5 x 1029)(2.45 x 10100)

5. Give the number of significant figures in each of the following.

a) 1.05 g ______ c) 29000 + 10 ft ______

b) 0.0003040 mm ______ d) 0.90 x 1045 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 4.900

+ 23.1

b) 9.80 - 4.762

c) 3.9 x 6.05 x 420 =

d) 14.1 / 5 =

7. Round each of the following to 3 significant figures.

77.0653 ____________

0.00023350 _____________ 2.895 x 1021 ______________

6,300,178.2 ______________ 10.2030 _______________

Worksheet

Scientific Notation/Significant Figures

#3

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 105 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 6.90

+ 13.124

b) 2.8023 - 4.762

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 1021 ______________

4. Convert each of the following into correct scientific notation.

1747 _________________________________

0.00000984 ___________________________ 3200.0 x 102 ____________________________ 0.002014 x 102 __________________________

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 1047 + 9.2 x 1046

b) 9132.0 - 1.6 x 103

6. Calculate the following using the correct number of significant figures. a) (1.54 x 1058)(3.5 x 1060) b) (7.9 x 1034) / (8.32 x 1023)

Answers #1

Worksheet

Scientific Notation/Significant Figures

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

b) 3

c) 6

d) 3

e) 3

f) 3

g) 5

h) 3

i) 4

j) 3

k) 5

l) 3

m) 3

n) 3

o) 6

p) 3

q) 3

r) 3

s) 3

t) 8

u) 4

v) 4

w) 5

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) 2.7 x 106 c) 2.53 x 1024 e) 2.2 x 106 g) 5.34 x 10-44

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

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

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

Worksheet

Scientific Notation/Significant Figures

Answers #2

1. Convert each of the following into scientific notation. 7.27 x 102 1.72000 x 105 9.84 x 10-4 2.000 x 104

1.4 2.560 x 1033

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 1066

b) - 8.87 x 102

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

a) 7.16 x 1020

b) 1.1025 x 10130

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 1045 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 c) 9.9 x 103

b) 5.04 d) 3

Answers #3

Worksheet

Scientific Notation/Significant Figures

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 105 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 c) 5.6 x 102

b) -1.960 d) 5 x 103

3. Round each of the following to 3 significant figures.

708

2.30 x 103

0.000335

10.3

19.0 x 1021

4. Convert each of the following into correct scientific notation. 1.747 x 103 9.84 x 10-6 3.2000 x 105 2.014 x 10-1 2.560 x 1016

5. Calculate the following using the correct number of significant figures.

a) 3.26 x 1047

b) 7.5 x 103

6. Calculate the following using the correct number of significant figures. a) 5.4 x 10118 b) 9.5 x 1010

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