Scientific Notation and Significant Figures Worksheet 2

Scientific Notation/Significant Figures Worksheet 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. for the last one)

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                   b)  313.0
   + 9.2 x 10⁶⁶                         -    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                                                             b)     9.80
        4.900                                                                -  4.762
  +  23.1

 
c)  3.9 x 6.05 x 420 =                                           d)  14.1 / 5  =

 
7. Round each of the following to 3 significant figures.
 77.0653  ____________     6,300,178.2  ______________
 
 0.00023350   _____________      10.2030   _______________
 
 2.895 x 10²¹   ______________

Answers - Worksheet 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
7. Round each of the following to 3 significant figures.

77.1	6.30 x 106
0.000234	10.2
2.90 x 1021