# Scientific Notation : 3-9

```Scientific Notation
Scientific Notation – Used to write very large (and very small) numbers.
__________________________ x 10
A) Write each number in scientific notation.
1) 3,000,000 = ______________________
2) 358,000,000 = ____________________
3) 0.00423 = ________________________
4) 0.00031 = ________________________
B) Write each number in standard form.
1) 4.7 x 10 5 = _______________________ = _____________________
2) 7 x 10 8 = _________________________ = _____________________
3) 2.028 x 10 5 = _____________________ = _____________________
4) 1.058 x 10 9 = ______________________ = _____________________
C) Comparing Numbers in Scientific Notation
First, order the numbers according to their exponents. Then order the numbers
with the same exponents by comparing the factors.
Which is larger?
2.56 x 10 6
or 5.467 x 10 4
Write each number in standard form. (SW on separate paper)
1) 7.32 x 10 5
2) 9.931 x 10 4
3) 4.55 x 10 1
4) 4.265 x 10  6
5) 7.113 x 10 6
6) 2.0475 x 10  3
7) 2.0198 x 10 7
8) 1.39003 x 10 8
9) 4 x 10 6
Write each number in scientific notation. (SW on separate paper)
10) 6, 700
11) 43,000
12) 52,300,000
13) 0.00004955
14) 0.524
15) 147,000,000
16) 0.00000707
17) 52,300,000
18) 0.034
Answer the following. (SW on separate paper)
19) Which is greater? 6.3 x 10 5 or 7.1 x 10 4
20) Which is less? 4.1 x 10 3 or 3.2 x 10 7
21) The smallest unit of time is the yoctosecond, which equals
0.000000000000000000000001 second. Write this number in
scientific notation.
22) A googol is a number written as a 1 followed by 100 zeros.
Write a googol in scientific notation.
23) The following table lists five Major League Ballparks. List the
ballparks from least capacity to greatest capacity.
H.H.H. Metrodome
Network Associates Coliseum
The Ballpark in Arlington
Team
Minnesota Twins
Oakland Athletics
Texas Rangers
Chicago Cubs
New York Yankees
Capacity
4.8 x 10 4
4.7 x 10 4
4.9 x 10 4
3.9 x 10 4
5.5 x 10 4
Scientific Notation
Comparing and Ordering
Name _______________
A) The number of visitors from various countries to the United States in a recent
year are listed in the table. Order the countries according to the number of visitors
from greatest to least.
International Visitors to the U.S.A.
Country
Number of Visitors
1.46 x 10 7
1.1 x 10 6
1.8 x 10 6
5.1 x 10 6
1.03 x 10 7
4.7 x 10 6
France
Germany
Japan
Mexico
United Kingdom
First, order the numbers according to their exponents. Then order the numbers
with the same exponents by comparing the factors.
B) Name the Great Lake with the second greatest area.
Great Lakes
Lake
Erie
Huron
Michigan
Ontario
Superior
Area (square miles)
9.91 x 10 3
2.3 x 10 4
2.23 x 10 4
7.32 x 10 3
3.17 x 10 4
```