Worksheet 2 - Scientific notation/ significant figures

Arkansas State University
Department of Chemistry
and Physics

Worksheet 2

Scientific Notation/Significant Figures

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