Download Unit 2.5: Science Skills

Unit 2.5: Science Skills
Name_______________________________
Worksheet 4
Date__________________Period________
Scientific Notation, Metric Prefixes, Unit Conversion
1.
Express the following numbers in scientific notation to the appropriate number of significant figures.
a. 0.00336
b. 678
c. 4,673,000
d. 354,867
e. 0.0000014
f. 0.0087
g. 7.14
h. 56
i. 0.000045637
j. 73,110
k. 0.73
l. 0.00731
m. 2 million
n. 721 thousand
o. 43 millionths
p. 5.3 billion
2.
Assume that each of the values in question 1 is a distance measurement in meters. To the right of each answer in
rewrite each measurement in ordinary notation with the closest appropriate metric prefix in place of the power of
10.
©Modeling Workshop Project 2012/STL Group, R. Rice
1
Unit 2.5, WS 3, v1.12 Science Skills
3.
Express the following numbers in ordinary notation with the appropriate number of significant figures
a. 9.81 × 101
b. 6.700 × 104
c. 3.11 × 10-4
d. 5.00 × 10-5
e. 4.27 × 103
f. 3.7 × 10-9
g. 6.52 × 10-6
h. 1.2 × 106
i. 3.10 × 102
j. 4.72 × 10-1
k. 6.2 × 103
l. 7.11 × 10-3
m. 4.61 × 105
n. 7.52 × 10-12
o. 1.430000 × 1012
p. 3.140 × 10-11
4.
Assume that each of the values in question 3 is a distance measurement in meters. To the right of each answer,
rewrite each measurement in ordinary notation with the closest appropriate metric prefix in place of the power of
10.
©Modeling Workshop Project 2012/STL Group, R. Rice
2
Unit 2.5, WS 3, v1.12 Science Skills
5. There are 31,556,926 seconds in a year. Show all work for unit conversions
a. Express this number in scientific notation.
b. Express this number in Ms using scientific notation to four significant figures.
c. Express this number in µs using scientific notation to four significant figures.
d. Express this number in Gs using scientific notation to four significant figures.
e. Express this number in ps using scientific notation to four significant figures.
6. The distance from the earth to the sun is approximately 93 million miles.
a. Express this number in scientific notation.
b. Express this number in megamiles
c. Convert this value to km.
d. Express this number using the closest appropriate metric prefix.
e. Express this number in Mm using scientific notation
f. Express this number in µm using scientific notation.
d. Express this number in Gm using scientific notation.
e. Express this number in pm using scientific notation.
7. The mass of an electron is 0.000000000000000000000000000000911 kg
a. Express this measurement in scientific notation
b. Express this measurement in Tg using scientific notation.
c. Express this measurement in ng using scientific notation.
©Modeling Workshop Project 2012/STL Group, R. Rice
3
Unit 2.5, WS 3, v1.12 Science Skills