Name: ____________________________
Date: __________________
Scientific Notation/Significant Digits Worksheet
1. Convert each of the following into scientific notation.
a)
3427
_3.427 x 10 3 ____
j)
0.0000455
_4.55 x 10
b)
0.00456
_4.56 x 10
k)
2205.2
_2.2052 x 103___
c)
123,453
_1.23453 x 10 5_
l) 302597
_3.02597 x 105___
d)
172
_1.72 x 10 2___
m) 0.0098526
_9.8526 x 10
e)
0.000984
_9.84 x 10
n)
0.0473
_4.73 x 10
f)
0.502
_5.02 x 10-1___
o)
650,502
_6.50502 x 105___
g) 0.00052
_5.2 x 10-4 ___
p) 0.000358
_3.58 x 10-4____
h) 111,450
_1.11450 x 105__
q)2,045,680
_2.045680 x 106__
i)
_1.072 x 102____
r) 10.2
_1.02 x 101_____
107.2
-3
-4
___
___
-5
-2
_____
-3
___
__
2. Determine the number of significant figures in each of the following:
a)
3427
__4____
g) 3.105 x 102 __4___
m) 9.805 x 10-3 __4__
b)
0.00456
__3____
h) 526,822
_6___
n)
0.0473
__3__
c)
123,453
__6____
i)
107.2
_4___
o)
650,502
__6__
d)
172
__3__
j)
0.0000455
__3__
p)
3.03 101
__3__
e)
0.000984
__3___
k)
2205.2
__5__
q)2.24 x 10-3
__3__
f)
0.502
__3___
l) 0.00589
__3__
r) 85,850
__5__
3. Convert each into decimal form (standard form).
a)
1.56  104
___15 600______
e)
0.00259  105
b)
0.56 102
___0.000 56 ____
f) 1.369 x 10-3
_0.001369 ______
c)
3.69 102
___0.0369 ______
g)
6.9  104
_69 000________
d) 7.7369 x 106
___7 736 900 ___
_259 __________
4. Round each of the following to 3 significant figures.
a)
77.0653
_77.1_________
b)
6,300,278.2
_6.30 x 10 6___
c)
0.00023350
_0.000234_____
d)
10.2030
_10.2 ________
e)
2.895 1021
_2.90 x 10
21
___
5. Calculate the answer, use the correct number of significant figures.
a) (0.32)(14.50)(120) =
_555.68 = 5.6 x 102_____
b) (24.1)/(0.005) =
_4820 = 5 x 103________
c) (3.9)(6.05)(420) =
__9909.9 = 9.9 x 103____
d) (14.1)/5 =
__2.82 = 3____________
6. Convert the following:
1. 40 mL = __0.004_____ L
2. 5000 L = _5 kL
3. 8 g = _0.008_ kg
4. 12,000 L = _12 000 000 kL 5. 50 mg = _0.050 g
6. 6000 m = 6 km
7. 200 kg = _200 000_ g
8. 10,000 g = _10 kg
9. 500 mL = _0.5 L
10. 1 L = _1000_ mL
11. 4000 L = _4_ kL
12. 400 cm = _0.4 m
13. 20 mL = 0.000020kL
14. 7000 mL = 7 L
15. 7 cm = _70 mm
16. 9000 L = _9000 000 mL
17. 6 m = _6000_ mm
18. 1000 cm = _1m
19. 11 km = __11 000 m
20. 80 mg = 0.000080 kg