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
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)
/ 4.2 x 1056
g) 6.022 x 1023 / 3.011 x 10-56
f) (2.5 x 109)(6.45 x 104)
e) 1.05 x 10-26
h) (6.88 x 102)(3.45 x 10-10)
736.9 x 105
6.9 x 104
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 ______
b) 0.0003040 mm ______
c) 29000 + 10 ft ______
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
c) 3.9 x 6.05 x 420 =
b)
9.80
- 4.762
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)
Worksheet
Scientific Notation/Significant Figures
Answers #1
1. Convert each of the following into scientific notation.
a) 3.427 x 103
d) 1.72 x 10
e) 9.84 x 10
g) 3.1000 x 10
j) 4.55 x 10
b) 4.56 x 10-3
2
5
h) 1.14 x 10
-5
m) 9.82 x 10
f) 5.02 x 10-1
2
i) 1.072 x 102
3
l) 3.00 x 10-1
k) 2.2052 x 10
-4
-1
p) 3.03 x 10
c) 1.23453 x 105
-4
-3
s) 5.65 x 10
n) 4.73 x 10
-2
q) 2.04 x 10
6
t) 1.3622052 x 10
o) 6.50502 x 102
r) 1.29 x 100 = 1.29
6
u) 4.500 x 105
0
v) 1.000 x 10 = 1.000
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
0.0056
0.0369
73690000 + 10000
259
0.0000459
0.1369
69000 + 1000
2.59
0.0000209
4. Calculate the following. Give the answer in correct scientific notation.
a) 2.7 x 106
c) 2.53 x 10
e) 2.2 x 10
b) -2.7 x 103
24
6
d) 1.47 x 103
f) -3.5 x 102
g) 5.34 x 10
-44
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
e) 2.5 x 10
2
b) 2.3 x 1013
d) 1.65 x 10-23
-83
f) 1.6 x 1014
79
g) 2.000 x 10
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
b) 5.04
c) 9.9 x 103
d) 3
Worksheet
Scientific Notation/Significant Figures
Answers #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
d) 8.9 x 105 L
2
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 102
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