PDF Worksheet Scientific Notation/Significant Figures

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

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