clase 1 - fis 3º - notacion cientifica
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7/23/2019 Clase 1 - Fis 3º - Notacion Cientifica
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I.E.P. “RAYMOND CLARK” FÍSICA
3º SECUNDARIA - 2013
I.E.P. “RAYMOND CLARK”FÍSICA
3º SECUNDARIA - 2013
1. NOTACIÓN CIENTIFÍCASirve !r! e"re#!r e$ %&r'! ()'&*! !+,e!# (!$i*!*e# +,e #&$ *e'!#i!*& /r!$*e# &*e'!#i!*& e+,e!#. Se e#(rie *e ! #i/,ie$e '!$er! C x 10 n Dónde:
C N4'er& *e(i'! (,5! !re e$er! e# *e 1 ! 10.N E"&$e$e e$er& &#iiv& & $e/!iv&.
PROBLEMAS RESUELTOS
I . E"re#! e$ $&!(i)$ (ie$6%i(!
17 383Solu!ón:Se!r!'&# (&$ ,$! (&'! ! ri'er! (i%r! *e ! i9+,ier*! 3:83; *e#,<# *e #e!r!r e 3:+,e*! e 8 5 e 3: +,e #&$ 2 (i%r!#: e#e *&# #er= e e"&$e$e *e 10 5 +,e*! !#63:83"102
27 >0000 >"108
37 ?>00000 ?:>"10?
87 380000000000 3:8"1011
>7 0:008Solu!ón:Se e#(rie ! ri'er! (i%r! #i/$i%i(!iv! 8 .Se (,e$!$ &*&# &# (er&# +,e e#=$ !$e# *e 8 3L,e/& e#(rii'&# 8"10-3
?7 0:0000000@ @"10-@
7 0:00013 1:3"10-8
@7 0:0000000000002 :2"10-13
II. Re#,eve 17 8:?>"10@ B 1:23"10@
Solu!ón:L!# &e$(i!# *e 10 ie$e$ +,e #er i/,!e#
8:?>"10@ B 1:23"10@
8:?> B 1:237 " 10@
3:2@"10> B ?:3>"10> :2"10>
3:2@ B ?:3> :27"10>
I II . Pr&e'!#
1. L! &!(i)$ *e Ci$! e$ 12 er! !/& '=# *e 1.000.000 000 *e !i!$e#.E"re#!r *i(! &!(i)$ e$ $&!(i)$ (ie$6%i(!.Resolución:
1 0 0 0 0 0 0 0 0 0 = 1 x 1 0 h a b i t a n t e s9
2. L! '!#! *e ,$! !(eri! e# 0:000 000 000 000 000 000 001 G/!r! &*er eer (&$ r!i*e9: e"re#!r e$ $&!(i)$ (ie$6%i(!.Resolución:
0 , 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 = 1 x 1 0 k g- 2 1
3. Si'i%i+,e 5 e"re#e e re#,!*& (&'& ,$ #&& $4'er& e#(ri& e$ $&!(i)$(ie$6%i(!.Resolución:
Pri'er& ! #,'!
4 x 1 0 - 6 + 2 x 1 0 - 5 = 4 x 1 0 - 6 + 2 0 x 1 0 - 6 =
2 , 4 x 1 0 - 5
2 4 x 1 0 - 6
=
A&r!
2 4 x 1 0 - 6
= x 1 0 - 6 - ( - 2 ) = 6 x 1 0 - 4
4 x 1 0 - 2
2 4
44
8. A #i'i%i(!r 5 e"re#!r e re#,!*& (&'& $&!(i)$ (ie$6%i(!
3
23
108
104106
x
xx
−
+
#e &ie$e ,$ $4'er& *e ! %&r'! ! " 10. C!(,!r “!.B ”.Resolución:
L! #,'! ? " 103 B 8 " 102 ?0 " 102 B 8 " 102 ?8 " 102
L,e/&
E$&$(e#
@ " 10> ! " 10
>:@@"10@
?:2"10
2:83"10>3:1"10-2>
27 3:8>"10 B 2:@2"10
3:8> B 2:@27 "10
87 ?:8@"10-2> B 8:@>"10-2> @:1?"10-2>
?:8@ B 8:@> @:1?7 "10-2>
a = 8
b = 5a + b = 1 3
x 1 0 2 - ( - 3 ) = 8 x 1 0 56 4
83
2
10x8
10x64
−
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7/23/2019 Clase 1 - Fis 3º - Notacion Cientifica
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I.E.P. “RAYMOND CLARK” FÍSICA
3º SECUNDARIA - 2013
I.E.P. “RAYMOND CLARK”FÍSICA
3º SECUNDARIA - 2013
PR"CTICA
I. Ex#$e%& en no'&!ón !en'()!& lo% %!*u!en'e% d&'o%:
1. ?00 000 000 000 000 000 000 000 000 000 000 000 000 000 000 K/ HHHH.H.................
2. 10 000 000 000 000 000 000 000 000 000 000 000 K/ ................................... HHHHHH.
3. 0:000 000 000 000 000 000 000 000 000 000 000 000 0001 K/ ...........................................
8. > 0 000 000 000 000 000 000 000 000 000 000 000 000 000 K/ H .................HH.H.......>. 0:000 000 000 000 000 000 000 000 000 000 000 000 000 11 K/ ........HHHHHH..HHH
?. 0:000 000 000 000 000 000 000 000 000 000 000 000 001 # ....................................................
. 0:000 000 000 000 000 000 000 000 000 000 000 000 000 000 1? C ........................................
II.+ E)e',& l&% %!*u!en'e% o#e$&!one% !nd!&d&% - ex#$%&l&% en no'&!ón !en'()!&.
1. ?>: " 10-8 - 82:8 " 10-8 ...........................................................................
2. ?:8"10 B >@:1 "10 ................................................................................
3. 101:2@ "10> - 8 " 103...............................................................................
8. :>8 " 10@ B 3: " 10............................................................................
>. 203:02 "108 B 10>:? " 108......................................................................
?. >08:1@ " 10-2
- 231:2"10-2
........................................................................ ?8>:10 " 108 B 231:0 " 103.......................................................................
@. >@:@ "10-3 7 " 2>:2 " 108 7 .................................................................
. 3>:?2 " 1087 ÷ 2:1 " 10 -7 ..............................................................
10. 12>:3 " 107 " 18:10 " 108 7 ............................................................
11. 183>0 " 0:00> ÷ 0:000 ? .....................................................................
12. @?:20 "10-8 7 " ?@:>0 " 10@7 ...............................................................
13. >:?0 " 1087 " @:0 " 10-127 .............................................................
18. :2 " 10-37 " 3:? " 1087 ..................................................................
1>. @3:8@ " 10
3
7 " @?:2 " 10
>
7 ..............................................................1?. 8:3 " 1037 ÷ 1:0 " 1087 ..................................................................
1. >8: " 10872.......................................................................................
52000000000025,0 x
1.450000
5000067000 x
20.0,10
03,120,24 x
TAREA
1. C&$verir &# $4'er&# ! ! $&!(i)$ (ie$6%i(!
!7 1@ 000
7 0:00032
(7 13 100 000
*7 0:0000183
e7 138 >00
%7 38> 200
/7 8321:@
7 381:@3
i7 0:00030
7 0:000000031
G7 0:00000000@8
7 230 000 000
2. C&$verir &# $4'er&# ! ! $&!(i)$ *e(i'!
!7 1:@ " 10->
7 3:8 " 108
(7 ?:1 " 10-3
*7 1:02 " 10?
e7 @:3 " 10-2
%7 1:3 " 10
/7 >:@2 " 10?
7 ?:2>1 " 10@
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7/23/2019 Clase 1 - Fis 3º - Notacion Cientifica
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I.E.P. “RAYMOND CLARK” FÍSICA
3º SECUNDARIA - 2013
I.E.P. “RAYMOND CLARK”FÍSICA
3º SECUNDARIA - 2013
i7 2:3 " 10-?
7 8:02 " 10-8
G7 :132 " 10->
7 :038 " 10@
3. E Si#e'! S&!r #e %&r') !r&"i'!*!'e$e !(e >000 'i&$e# *e !&#. E#(riir e#e$4'er& *e !&# e$ $&!(i)$ (ie$6%i(!.
!7 > " 10@ 7 > " 1010 (7 >:> " 10
*7 0:> " 10@ e7 > " 10
8. P!r! ! r&!/!(i)$ *e ! ,9 e$ e v!(6& & e$ e !ire: #e !*'ie e v!&r r&'e*i& *e 300000 G'J#. E"re#!r e#e v!&r (&'& $&!(i)$ (ie$6%i(!.
!7 3 " 10@ 7 3 " 10>
(7 3:3 " 10> *7 3 " 10->
e7 3:0 " 108
>. E v!&r *e ! re#i#ivi*!* *e ierr& e# 0:0000001. I$*i(!r e#e v!&r (&'& $&!(i)$(ie$6%i(!.
!7 10-@ 7 1:1 " 10-@
(7 0:1 " 10- *7 0:1 " 10-
e7 10-
?. Se #!e +,e e (!&r e#e(6%i(& *e Mer(,ri& e# 0:00012. C,= #er= e#e v!&r e$$&!(i)$ (ie$6%i(!
!7 12 " 108 7 1:2 " 108(7 0:12 " 10-> *7 1:2 " 10-8
e7 0:12 " 10>
. Se ! *eer'i$!*& +,e ! *e$#i*!* *e i*r)/e$& e# 0:0000@. E"re#!r e#e v!&r (&'&$&!(i)$ (ie$6%i(!.
!7 " 10-8 7 @: " 10>
(7 @: " 10-> *7 @: " 10-?
e7 @: " 10-
@. E !& 1? #e r&*,& e$ !$/#!$ Ci$!7 ,$ *ev!#!*&r erre'&& +,e r!& (&'&(&$#e(,e$(i! ?>>.000 v6(i'!#. E"re#!r e#e v!&r (&'& $&!(i)$ (ie$6%i(!.
!7 ?:>> " 10> 7 ?:>> " 103
(7 ?:>> " 10-> *7 ?:>> " 108
e7 ?:> " 10?
. E #!<ie i=$ *e S!,r$& ie$e 2 >? G' *e r!*i&. E"re#!r e r!*i& e$ 'er&# (&'&$&!(i)$ (ie$6%i(!.
!7 2:>? " 103 7 2:>? " 10-3
(7 2:>? " 10-? *7 2:>? " 10?
e7 2:>? " 108
10. E S& ie$e ,$ *i='er& *e 1:8 'i&$e# *e G'. E"re#!r e#e *i='er& e$ 'er&#: (&'&$&!(i)$ (ie$6%i(!.
!7 1:8 " 10? 7 1:8 " 1010
(7 1:8 " 10 *7 1:8 " 10@
e7 1:8 " 10
• Simpi!"#e $ exp%ese e %es#ta&' ('m' #n s'' nme%' es(%it' enn'ta(i*n (ient+!(a
11
a) 2 x 10-. b) 8,5 x 10-2
() 5,05 &) 1,02 x 10-1
e) 6,051
12
a) 3,2 x 1010 b) 3,2 x 108
() 3,02 x 1010 &) 3,02 x 10-8
e) 3,2 x 10-10
6
5.
104
102102
−
−−
×
×+×
8 .
2
6 10 4 10
2 10−
× + ×
×
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I.E.P. “RAYMOND CLARK” FÍSICA
3º SECUNDARIA - 2013
I.E.P. “RAYMOND CLARK”FÍSICA
3º SECUNDARIA - 2013
13
a) 1,000006 x 10-5 b) 1,000006 x 10-8
() 1,000006 x 10-3 &) 1,0006 x 10-4
e) 1,006 x 10-3
14
a) 1 x 10-6 b) 1 x 10-5
() 1 x 10-3 &) 2 x 10-6
e) 2 x 10-5
15
a) 2,6 x 10. b) 2,06 x 10-.
() 2,06 x 105 &) 2,06 x 10.
e) 2 x 10-5
• /'ne%ti% 's sig#ientes nme%'s a a n'ta(i*n &e(ima
16 52,4 × 10-3
1. 0,24 × 10-4
18 5,1 × 10-5
19 6,18 × 10-5
2
002,0102,18+×
−
2
8.
105,1
105102
−
−−
×
×−×
3
43
104108104,2
−×
×+×