Clase 1 - Fis 3º - Notacion Cientifica

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


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

−







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.......................................................................................

[email protected],0

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@







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−

× + ×

×







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

−×

×+×

Clase 1 - Fis 3º - Notacion Cientifica

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