24
Scientific Notation
Scientific Notation is a way to ________________ very large or very small
numbers.
Scientific Notation Format: a number between _________ multiplied by _____
with an exponent. The exponent can be _________, _________, or _________.
Numbers with _________ exponents are _________ (anything greater than ____).
Numbers with _________ exponents are _________ (anything less than ____.)
Numbers with _________ as an exponent are between ____and ____.
Examples:
Expanded form
Scientific Notation
4,300,000
0.0000749
2.645 x 108
7.09 x 10−8
Your scientific calculator will use ____________ _________ for very large or very
small numbers. 4.3 x 106 will be shown on your calculator as 4.3 E6
E stands for _____________. When writing your answers in scientific notation,
use the form: 4.3 x 106
Online Scientific Notation Practice
Go to the USJ Chemistry website: http://www.usjbruins.org/malea-mullins
Click on the “Honors Chemistry” tab at the top and then click on “Scientific Notation Practice”
at the bottom right side.
Metric Prefixes
The initials, SI stand for the
________________ ___________
____ _______. The three
fundamental units measure the
quantities of _______ , _______, and
_______. The _______ is the SI unit
of length. The _______ is the SI unit
of time. The ____________ is the SI
unit of mass. Other units are called
_______ units because they are
__________________ of fundamental
units. All metric units use the
_______ prefixes.
Prefix
Symbol
Multiple
10
10
10
10
10
10
10
10
10
10
10
10
10
25
Conversion between units is simple. List the prefixes with spaces in order from
__________ to __________.
__ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __
Move the decimal point the same __________ and __________ that you move to
get to the new unit.
To convert Gs to ms, move the decimal ________ places to the ________.
Therefore, 5 Gs = _______________________ ms
To convert µm to km, move the decimal ________ places to the ________.
Therefore, 3 µm = _________________ km
Chapter 1 Problem Set 3:
Scientific Notation Problems
Convert the following expanded numbers to scientific notation:
1.
28,000,000
6.
0.000000000000057
2.
305,000
7.
20,100
3.
0.000000463
8.
0.00025
4.
0.000201
9.
65,000,000,000,000,000
5.
3,010,000
10.
8,540,000,000,000
Expand the following numbers in scientific notation:
11.
12.
13.
14.
15.
2.101 x 10−16
3.051 x 107
5.94 x 10−16
8.27 x 1019
3.86 x 10−22
Metric Conversions
Make the following conversions.
1. 83 cm → m
2. 459 L → mL
3. 1123 pg → ng
4. 0.032 hL → nL
5. 2.5 mm → µm
6. 1.2 ns → Ms
7. 0.7824 Tg → dag
16.
17.
18.
19.
20.
2.511 x 1012
4.82 x 10−12
3.21 x 1012
2.88 x 105
4.05 x 1011
Use scientific notation if necessary.
15.
8. 34, 981 µg → Gg
16.
9. 285 cg → pg
17.
10. 94.778 Mm → mm
18.
11. 1.43 x 109 ns → das
-2
19.
12. 8.14 x 10 Tm → cm
20.
13. 4.02 x 105 cg → hg
3
14. 8.77 x 10 pL → µL
1.33 x 100 m → Mm
7.49 x 10-8 hs → ns
6.81 x 106 GL → pL
3.18 x 10-4 kg → Tg
6.72 x 102 dm → nm
5.51 x 10-7 Ms → das