24
Scientific Notation
abbreviate
Scientific Notation is a way to ________________
very large or very small
numbers.
1 and 10
10
Scientific Notation Format: a number between _________
multiplied by _____
positive
negative
zero
with an exponent. The exponent can be _________,
_________,
or _________.
positive
large
10
Numbers with _________
exponents are _________
(anything greater than ____).
negative
small
10
Numbers with _________
exponents are _________
(anything less than ____.)
zero
1
10
Numbers with _________
as an exponent are between ____and
____.
Examples:
Expanded form
Scientific Notation
4.3 x 10^6
4,300,000
7.49 x 10^-5
0.0000749
264,500,000
2.645 x 108
0.0000000709
7.09 x 10−8
scientific
notation
Your scientific calculator will use ____________
_________
for very large or very
6
small numbers. 4.3 x 10 will be shown on your calculator as 4.3 E6
exponent
E stands for _____________.
When writing your answers in scientific notation,
6
use the form: 4.3 x 10
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
International
System
________________
___________
of
Units
____
_______.
The three
fundamental units measure the
length
mass
quantities of _______
, _______,
and
time
meter
_______. The _______ is the SI unit
second
of length. The _______
is the SI unit
kilogram
of time. The ____________ is the SI
unit of mass. Other units are called
derived
_______
units because they are
combinations
__________________ of fundamental
units. All metric units use the
same
_______
prefixes.
Prefix
Symbol
tera
T
giga
G
mega
M
kilo
k
hecto
h
deca
da
unit
deci
d
centi
c
milli
m
micro
nano
n
pico
p
Multiple
10 ^12
10 ^9
10 ^6
10 ^3
10 ^2
10 ^1
10 ^0
10 ^-1
10 ^-2
^-3
10
10 ^-6
10 ^-9
10 ^-12
25
Conversion between units is simple. List the prefixes with spaces in order from
largest
smallest
__________
to __________.
n
da unit d c m
k h
M __ __ __
p
T__ __ __ G
__ __ __ __ __ __ __ __ __ __ __ __ __ __ __
__ __ __ __
number
direction
Move the decimal point the same __________
and __________
that you move to
get to the new unit.
12
right
To convert Gs to ms, move the decimal ________
places to the ________.
5,000,000,000,000
Therefore, 5 Gs = _______________________
ms
9
left
To convert µm to km, move the decimal ________
places to the ________.
0.000 000 003
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