Arkansas State University Department of Chemistry and Physics

1. Convert each of the following into scientific notation.
 

a) 3427	b) 0.00456	c) 123,453
d) 172	e) 0.000984	f) 0.502
g) 3100.0 x 102	h) 0.0114 x 104	i) 107.2
j) 0.0000455	k) 2205.2	l) 30.0 x 10-2
m) 0.982 x 10-3	n) 0.0473	o) 650.502
p) 3.03 x 10-1	q) 20.4 x 105	r) 1.29
s) 0.00565	t) 1362205.2	u) 450.0 x 103
v) 1000 x 10-3

2. Determine the number of significant figures in each of the following:
 

a) 3427	b) 0.00456	c) 123,453
d) 172	e) 0.000984	f) 0.502
g) 3100.0 x 102	h) 0.0114 x 104	i) 107.2
j) 0.0000455	k) 2205.2	l) 30.0 x 10-2
m) 0.982 x 10-3	n) 0.0473	o) 650.502
p) 3.03 x 10-1	q) 20.4 x 105	r) 1.29
s) 0.00565	t) 1362205.2	u) 450.0 x 103
v) 1000 x 10-3	w) 546,000 + 10	x) 546,000 + 1000

3. Convert each into decimal form.
 

1.56 x 104	0.56 x 10-2	3.69 x 10-2	736.9 x 105
0.00259 x 105	0.000459 x 10-1	13.69 x 10-2	6.9 x 104
0.00259 x 103	0.0209 x 10-3

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

 a)  4.53 x 10⁵                            b)  1913.0
   + 2.2 x 10⁶                                    -    4.6 x 10³
 

 c)  2.34 x 10²⁴                           d)    2.130 x 10³
   + 1.92 x 10²³                               -  6.6 x 10²
 

 e)  9.10 x 10³                             f)    1113.0
   + 2.2 x 10⁶                                    -    14.6 x 10²
 

 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 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)
 

answers

Scientific Notation/ Significant Figures Worksheet 2
Scientific Notation/ Significant Figures Worksheet 3