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Notes: Scientific Notation
why do we use scientific notation?
s./d
L$l'r
,fC rbnr#fi<
Sync"J
I nr^h
No{e#-- el let^rE CX 'b
What two things are always true of a number written in scientific notation?
Lsri
l'uu.rr.hlg
1,.
Circle the numbers
that are ggllglljy written in scientific notation and place an X over the
numbers that are not.
n.*rcG 6n'r*9
9.9$<101'6
what does a positive exponent
s.\r016 @
@
zoYcros
mean? l-gJ.gg ha.^,nlb€-f
What does a negative exponent mean?
( &o'tjt'-"'
Sr^r-it t ftt ^^'U-
I
Match each number below to the same number written in scientific notation. Circle your
choice.
Number:
Scientific Notation:
Number:
or
0.000 044
1.2g x L06
1 280 000.0
620 000 000
= @*
0.000 000 15
=
-3 200.00
0.000 0251.
1370 000 000
561 000 000
1.29 x L0-6
6.2x10-8
1.5x107
*@
r
2.51x 10s
or
37 x 10s
or
L.37 x l-O:s
or
5.51x
x
_3.2x
4.4 x
=
10s
-5.6x106
10-3
@
10-8
or
4.4 x IO-5
"r@
or
780 000.0
Lo3
'-3.2
-0.'000 005 6
Scientific Notation:
0.000 034
3.4 x
l-Os
or
725 000 000
7.25 x
IOB
or
0.000 000 3s
3.5 x l-07
or
0.000 012
1.2 x 10s
or
7.9 x 10-s
@
7.25 x I0-8
6'h
\*--/
Write the following numbers in scientific notation.
Scientific Notation:
Number:
230 000 000
66 s00.0
0.000 89
=
452 000 000 000 =
470
a.L K rot
(,.t 5 x tO4
y.g y to-{
0OO
000
=
0.000 000 07s
4 800 000000 =
000
=
5./'{ (
26
=
J..(o I. lc-
75 000 000 000 =
740
0.000 000 20
=
0.000 000
0.000 000 054 =
4,51r lo"
4,1 ( lO5
000.00
56 800
Scientific Notation:
Number:
IOT
t
1.5 v. lO''
63 500 000
0.000
022
=
000
=
850 000
5,{ x
tO-tr
1..{ x tce
1.5 X lo-Y
b,35 K tOT
2 ^ ao-I
{.t K lo'
-A
(
lD'
J,2t.5 x
IO7