Fichas de Avaliação de Matemática 2 Fantásticos
April 14, 2023 | Author: Anonymous | Category: N/A
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4j
W`rëjbj
.
Dvdaaidãèj Bi Dvd Bidcføst dcføstih ihdd b` Kdt`kätihd Kdt`kätihd
Fjk`<
Bdtd<
Wrje`ssjr(d)<
/
IFEJ^KDÃÈJ<
/
@fh. @buhdãèj<
4. Jns`rvd ` hjftd j fük`rj b` hdbd `a`k`ftj bd ikdc`k.
4.4 ^`cistd ds qudftibdb`s b` hdbd `a`k`ftj.
4.> Xunstitui ds ikdc`fs p`ads qudftibdb`s dft`rijr`s `
80 +
; 80 +
+ >2 ;
;
+ >2 ;
r`sjav` ds jp`rdãð`s.
+ 40 ;
+
;
+
;
+
23 +
+
;
>. @shr`v` js fük`rjs r`pr`s`ftdbjs p`aj KDN `k hdbd situdãèj.
j r v i a i d C © • d h i t s ø f c d i B j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
8. @shr`v` js fük`rjs ifbihdbjs, usdfbj dacdriskjs.
X`ss`ftd ` fjv` ufibdb`s Jit`ftd ` hifhj ufibdb`s
X`t` b`z`fds X`is b`z`fds ` k`id 40
2. @shr`v` tjbjs js fük`rjs b` bjis
dacdriskjs qu` r`sp`itdk ds ifbihdãð`s.
2.4 J dacdriskj bds b`z`fds é s`t`.
2.> J dacdriskj bds b`z`fds é icuda dj
bds ufibdb`s.
0. Ptiaizdfbj dp`fds js
0
6
dacdriskjs 2 ju 3 hjkpa`td ds hjkpdrdãð hjkpdrdãð`s. `s.
>
=1
5. Hjkpa`td d r`td fukérihd hjk js
07
0>
3. Jns`rvd
7
2;3
=65
fük`rjs `k edatd.
55
=5
js s`ck`ftjs b` r`td r`pr`s`ftdbjs. @
N H
E
D
B
3.4 Hjk d dlubd bd
tud récud, r`pr`s`ftd js s`cuift`s s`ck`ftjs b` r`td.
_NH[? _HB[? _B@[
3.> Wiftd
b` hjr`s bie`r`ft`s ds eicurds c`jkétrihds jntibds ` rjb`id j s`u fjk` hjk d hjr hjrr`spjfb`ft`. ^`tîfcuaj Tudbrdbj Rriîfcuaj
=. Jns`rvd js bjis pjrtd-aäpis r`pr`s`ftdbjs ` r`adhijfd-js hjk j fjk` bj søaibj c`jkétrihj d
qu` hdbd uk pjb` s`r dssjhidbj kdis edhiak`ft`.
hunj
hiaifbrj
pdrda`a`pëp`bj 45
j r v i a i d C © • d h i t s ø f c d i B j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
9. Jns`rvd j fjk` b` dacufs k`s`s bj dfj.
ldf`irj
b`z`knrj
dnria
fjv`knrj fjv`knr j
s`t`knrj
e`v`r`irj
9.4 Hjajhd-js p`ad jrb`k hjrr`td, b` 4 d 5. 9.> @shr`v` j fjk` b` bjis k`s`s
bj dfj hjk 84 bids.
9.8 Dssjhid hdbd kìs bj dfj ç
e`v`r`irj
ikdc`k hjrr`spjfb`ft`.
s`t`knrj
fjv`knrj
b`z`knrj
47. Jns`rvd js hjfluftjs r`pr`s`ftdbjs.
D
Bids `k qu` j Ljèj vdi djs tr`ifjs
s`xtd-e`ird sändbj
j r v i a i d C © • d h i t s ø f c d i B j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
N
s`xtd-e`ird sändbj
qudrtd-e`ird
quiftd-e`ird
s`cufbd-e`ird
t`rãd-e`ird
47.4 Hjkpa`td hjk js sëknjajs ` .
qudrtd-e`ird
Bids `k qu` j W`brj vdi djs tr`ifjs
s`xtd-e`ird 47.> J Ljèj `
dj hjfluftj D dj hjfluftj D
qudrtd-e`ird sändbj
dj hjfluftj N dj hjfluftj N
j W`brj er`qu`ftdk j k`skj haun`. @k qu` bids bd s`kdfd s` `fhjftrdk:
^.< @fhjftrdk-s` 43
44. D
Dfd qu`r hjkprdr j `stjlj ` d hdf`td r`pr`s`ftdbjs dj adbj. Jns`rvd-js.
44.4 ^jb`id
d v`rb` d qudftid f`h`ssärid pdrd hjkprdr j `stjlj ` d dzua d qudftid f`h`ssärid pdrd hjkprdr d hdf`td.
2 ` u r j s
4>. Jns`rvd j fük`rj b` daufjs `xist`ft`s fds qudtrj turkds bj
Rurkdd D Rurk
Rurkdd N Rurk
4= daufjs
4>.4 Tuda
ukd bie`r`fãd b`
4>.> Tudftjs daufjs
daufjs.
er`qu`ftdk, fj tjtda, j >.¼ dfj:
^..¼ 4=
>.¼ dfj bd `shjad bd Dfd.
Rurkdd H Rurk
>2 daufjs
Rurkd Ru rkd B
4= daufjs
d bie`r`fãd `ftr` j fük`rj b` daufjs bd turkd D ` j fük`rj b` daufjs bd turkd H.
^.> daufjs
5 3 h ì f t i k j s
dfj
daufjs.
j r v i a i d C © • d h i t s ø f c d i B j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
4j
W`rëjbj
.
Dvdaaidã Dvd idãèj èj Ift`rkébi Ift`rkébidd b` Kdt`kätih Kdt`kätihdd
Fjk`<
Bdtd<
Wrje`ssjr(d)<
IFEJ^KDÃÈJ<
/
/
@fh. @buhdãèj<
ejrdk bistrinuëbjs fd `shjad. `shjad. 4. Jns`rvd js hdrtuhmjs b` hdstdfmds qu` ejrdk
>>
>8
4>
4=
43
>=
4.4 Jrb`fd js fük`rjs `shritjs fjs hdrtuhmjs pjr jrb`k hr`sh`ft`.
1
1
1
1
1
4.> Wiftd bd k`skd hjr js hdrtuhmjs b` hdstdfmds huld sjkd é 27.
ëkpdr. 4.8 ^jb`id js hdrtuhmjs jfb` `stä `shritj uk fük`rj ëkpdr.
>. Jns`rvd d qudbrd qu` js daufjs `shr`v`rdk fuk hdrtdz, fj bid b` Xèj Kdrtifmj.
>.4 Wiftd fj cräfflhj b` pjftjs uk
pjr hdbd vjcda `fhjftrdbd fd qudbrd. Ujcdis fd qudbrd Xèj Kdrti fmj dis f d qu dbrd b` b` Xè j K drtifm j D
É bid b` Xèj Kdrtifmj Mä da`crid tdkdfmd Xø qu`rj n`n`r uk sukifmj @ hjk`r ukd hdstdfmd!
j r v i a i
d C © • j b j ë r ` W j . 4 • d i b é k r ` t f I j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
@ I J P
>.> Hjkpa`td d erds` hjk j fük`rj b` v`z`s qu` hdbd vjcda é usdbd fd qudbrd.
F`std qudbrd ejrdk usdbjs
D ,
@,
I,
J `
P.
>.8 Tuda d vjcda kdis usdbd: @ ds k`fjs usdbds:
D vjcda kdis usdbd eji d a`trd
. @ ds k`fjs usdbds ejrdk ds a`trds
.
>.2 Tudftds vjcdis ejrdk usdbds, dj tjbj, f`std qudbrd:
+
+
+
^.< Ejrdk usdbds, dj tjbj,
+
;
vjcdis. 49
8. B`s`fmd fj
qudbrihuadbj buds fflcurds `quivda`ft`s ç fflcurd r`pr`s`ftdbd.
2. Fj
ljcj bj tirj dj davj, cdfmd qu`k jnték j kdijr fük`rj b` pjftjs. Jns`rvd j qudbrj hjk ds pjftudãð`s jntibds fj fflfda bj ljcj pjr uk crupj b` daufjs. Fjk` jk` pjftudã dãè èj 2.4
Dfd 477
Hdrad >=
Wjftudã dãè èj
Dfd Hdrad W`brj Eiaipd Cdnri`ad Cjfãdaj Xdftidcj Närndrd 2.>
Eiaipd 52
Cdnri`ad Cjfãdaj Xdftidcj Närndrd 95 30 83 48
@shr`v` pjr `xt`fsj js pjftjs b` hdbd hridfãd ` ç er`ft` d pjsiãèj fflfda qu` hdbd ukd jhupju. Jns`rvd j `x`kpaj. Fjk`
W`brj =>
477 >= => 52 95 30 83 48
Wjftudã dãè èj
Wjsiã jsiãè èj
jr `xt` t`f pjr fsj
dr jhup dbj)) (auc ucdr hupdbj
tr`z`
jitdvj j r v i a i
Tu`k fflhju `k prik`irj prik`irj aucdr fj ljcj bj bj tirj dj davj: davj: @ `k üatikj: ^.<
2.8
Tuda d bie`r`fãd bie`r`fãd `ftr` js pjftjs jntibjs p`aj prik`irj ` j üatikj hadssifflhdbj: hadssifflhdbj: ^.<
jhu pdk js s`cuift`s k`s`s bj dfj ` ifbihd j fük`rj b` bids b` hdbd uk. 0. @shr`v` d jrb`k qu` jhupdk X`cu` j `x`kpaj. Kìss Kì Jrb`k F.j b` b` bids >7
b`z`knrj e`v`r`irj s`cufbj >= ju >9
kdij
ldf`irj
lufmj
kdrãj
dnria
dcjstj
d C © • j b j ë r ` W j . 4 • d i b é k r ` t f I j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
4j
W`rëjbj
.
Dvda Dv daiidãèj Ei Eifda fda b` Kdt Kdt`kä `kättih ihdd
Fjk`<
IFEJ^KDÃÈJ<
Bdtd<
Wrje`ssjr(d)<
/
/
@fh. @buhdãèj<
4. B`shjnr` j fük`rj bd `tiqu`td qu` hjrr`spjfb` d hdbd
b`shriãèj.
>2=
>=2
438
834
483
>=>
2>=
2=>
d)
Ré`fmj vift` jitj b`z`fds. b`z `fds. Jbds k`u dacdriskj bds ufibdb`s j bjnrj bj`k`u dacdriskj h`ft`fds. Xju j fük`rj . Edatd-k` atd-k` ukd b`z`fd ` jitj ufibdb`s pdrd n) Ed Xju j fük`rj
ds 0 h`ft`fds.
.
h) J k`u dacdriskj bds b`z`fds é k`tdb` bj k`u dacdriskj
bds h`ft`fds ` j bds ufibdb`s é j quäbrupaj bj bds b`z`fds. Xju j fük`rj . 4.4 @shr`v` js fük`rjs bds `tiqu`tds pjr jrb`k b`hr`sh`ft`.
6 6 6 6 4.> Dbihijfd js bjis fük`rjs k`fjr`s.
+ 4.8
j r v i a i d C © • j b j ë r ` W j . 4 • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
6
6
;
Hdahuad d bie`r`fãd bie`r`fãd `ftr` j kdijr ` j k`fjr fük`rj.
‘ 4.2
6
;
@shr`v` pjr `xt`fsj j fük`rj fük`rj 834. ^.<
>. Hdahuad b` bjis
x
ju
kjbjs bie`r`ft`s j fük`rj b` njads b` Fdtda qu` q u` `xist` `k hdbd hdixd.
x
;
x
ju
x
;
x
ju
x
;
>4
8. Jns`rvd j
njaj-r`i `fe`itdbj hjk erutds hristdaizdbds. hristdaizdbds hjk d 8.4 Wiftd b` v`rk`amj ds erutds hristdaizdbds ejrkd b` fèj pjaëcjfjs. H
D
D
8.> Psd j høbicj s`cuift` pdrd hjajrir ds erutds hristdaizdbds hjk ejrkd b` pjaëcjfjs.
D
Høbi bic cj b` b` h hjr`s jr`s. @shda`fj
8. Isøsh`a`s
D
?N
?H
t ud récud ` trdãd j 2. Psd d tud
s`ck`ftj b` r`td _DB[. B`pjis, hadssieihd hjkj v`rbdb`ird (U) ju edasd (E) hdbd ukd bds deirkdãð`s. D
• Js pjftjs D, N, H, ` B `stèj daifmdbjs. E
• Js pjftjs C ` M `stèj fd pdrt` `xt`rfd bd `str`ad.
N H @
• D `str`ad é uk pjaëcjfj.
B
• Js pjftjs B ` I `stèj fd erjft`ird. I M
• Js pjftjs D ` B sèj js `xtr`kjs bj s`ck`ftj b` r`td _DB[.
C
• @stèj r`pr`s`ftdbjs 0 pjftjs fd pdrt` `xt`rfd bd `str`ad.
0. Hjk d tud récud hjkpa`td d s`cuift` eicurd, b` kjbj d jnt`r`s uk m`xäcjfj.
>>
0.4
Dssifdad j pjftj O fd pdrt` `xt`rfd, j pjftj A fd pdrt` ift`rfd ` j pjftj K fd erjft`ird bj m`xäcjfj ejrkdbj.
j r v i a i d C © • j b j ë r ` W j . 4 • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
Kdr td cdstju fd hjkprd b` uk hjkputdbjr. Tudftj hustju: 5. @std eji d qudftid qu` d Kdrtd
^.< 3. J cräeihj b`
ndrrds s`cuift` dpr`s`ftd ds pr`e`rìfhids b` bjh`s b` Fdtda bjs daufjs bj >.j dfj. Hdbd daufj `shjam`u dp`fds uk u k bjs bjh`s.
Fük`rj Fü k`rj b` da b` dauf ufjs js
4= 45 42 4> 47 = 5 2 > 7 rdndfdbds j r v i a i d C © • j b j ë r ` W j . 4 • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
3.4
eiamøs
k`xibjs
3.>
b` F dtda
.
@ j k`fjs `shjamibj: ^.< J bjh` k`fjs `shjamibj eji
3.8
sjfmjs bj bjhh`s
Tuda eji j bjh` b` Fdtda kdis `shjamibj p`ajs daufjs: ^.< J bjh` b` Fdtda kdis `shjamibj eji
njaj-r`i
.
Tudftjs daufjs bj >.j dfj pdrtihipdrdk f`st` `stubj: ^.< Wdrtihipdrdk f`st` `stubj
daufjs bj >.j dfj. >8
=. Hjkpa`td ds
s`cuift`s s`quìfhids ` piftd ds `str`ads hjk fük`rjs ëkpdr`s. D.
N.
H.
4>2
4>5
4
>20
4>=
48>
474
482
>74
>07
485
274
>57
>50
9. Hjkpa`td d erds`.
J fük`rj 2=3 t`k
h`ft`fds,
b`z`fds ju 2=3 ufibdb`s.
47. D Kdrid t`k = dfjs ` d sud tid t`k j quäbrupaj bd sud ibdb`.
Tudftjs dfjs t`k d tid bd Kdrid:
^.< D tid bd Kdrid t`k
dfjs.
44. Pk pifm`irifmj t`k 44 njads, = `str`ads ` 3 eitds b`hjrdtivds.
Tudftds njads, `str`ads ` eitds tìk bjis pifm`irifmjs icudis:
^.< Bjis pifm`irifmjs tìk, `k hjfluftj, b`hjrdtivds.
njads,
`str`ads `
eitds
dpaihdfbj ds jp`rdãð`s ifbihdbds. 4>. ^`pr`s`ftd j fük`rj 277 b` hifhj kjbjs bie`r`ft`s, dpaihdfbj +
+
‘
x 277
+
x
j r v i a i d C © • j b j ë r ` W j . 4 • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
>2
>j
W`rëjbj
.
Dvdaaidã Dvd idãèj èj Ift`rkébi Ift`rkébidd b` Kdt`kätih Kdt`kätihdd
Fjk`<
Bdtd<
Wrje`ssjr(d)<
/
IFEJ^KDÃÈJ<
/
@fh. @buhdãèj<
4. Jns`rvd j fük`rj r`pr`s`ftdbj fj ändhj. 4.4 Dssifdad hjk ] ds jpãð`s qu` j r`pr`s`ftdk.
27 + 577 + 8 5 h`ft`fds + 2 ufibdb`s + 8 b`z`fds 5 h`ft`fds + 2 b`z`fds + 8 ufibdb`s 5 x 477 + 2 x 47 + 8 x 47
>. Hjkpa`td
H
B
P
d tdn`ad s`cuift`. s`cuift`.
Fük`rj Fü k`rj
A`it `itu urd
073 X`t`h`ftds ufibdb`s Tuifm`ftds ` vift` ` jitj ufibdb`s 549 dtrdvés b` ukd kuatipaihdãèj kuatipaihdãèj j tjtda b` njads bjs hmdpéus. 8. ^`pr`s`ftd dtrdvés
x
;
j r v i a i d C
© • j b j ë r ` W j . > • d i b é k r ` t f I j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
`xist`ft`s fj fük`rj b` käshdrds ifbihdbj. Jns`rvd j `x`kpaj. 2. Hdahuad j tjtda b` `str`ads `xist`ft`s
> käshdrds<
>x2;= 0 käshdrds<
5 käshdrds<
x
3 käshdrds<
x x
;
x
;
5 käshdrds<
x
;
;
= käshdrds<
x
;
2 käshdrds<
;
9 käshdrds<
x
;
47 käshdrds<
x
; >0
0. J Xdftidcj t`k 5
rjajs b` s`rp`ftifds pdrd j Hdrfdvda. J s`u irkèj t`k j tripaj bds
s`rp`ftifds. Tudftds s`rp`ftifds tìk js bjis, fj tjtda: ^.< 5. Dssifdad hjk ] d jpãèj hjrr`td `k hdbd situdãèj.
44
4>
>
=
2
9
8
5
N
9 mjrds ` k`id
9 ` uk qudrtj
H
4
47
3
D
5 mjrds ` k`id
0
Tu` mjrds sèj: 44
Xèj trìs mjrds ` uk qudrtj.
4>
4
47
44 >
9
5
0
5
0
8
3. J A`jfdrbj sdiu pdrd edz`r ukd hdkifmdbd hdkifmdbd hjk js pdis
44
5
4
44
9
8 =
2 5
0
^`cr`ssju d hdsd
>
3
4>
47
Dssifdad fjs r`aøcijs d mjrd d qu` sdiu b` hdsd ` d mjrd d qu` r`cr`ssju.
2 3
Xdiu b` hdsd
çs 4= mjrds ` r`cr`ssju çs 49 mjrds ` 40 kifutjs.
>
=
2 3
4
9
8 =
4>
47
>
9
2 3
44
4
47
8 =
4>
0
4>
4
47
>
9
8 =
2 3
5
0
3.4
Tudftj t`kpj t`kpj b`kjrju b`kjrju d hdkifmdbd:
3.>
J A`jfdrbj ` js pdis fflz`rdk fflz`rdk `ssd hdkifmdbd fj üatikj bid bid bj kìs b` kdrãj. Wiftd Wiftd d jpãèj qu` j pjb` r`pr`s`ftdr. X`cufbd-e`ird, 87 b` kdrãj
j r v i a i d C
Tudrtd-e`ird, 84 b` kdrãj
j s søaibjs r`pr`s`ftdbjs ` rjb`id js pjai`brjs. =. Jns`rvd js D
=.4
N
H
Ifbihd< d) j fjk` bj søaibj E. n) j tjtda b` edh`s bj søaibj H. h) j tjtda b` vértih`s bj søaibj N.
>5
B
@
E
© • j b j ë r ` W j . > • d i b é k r ` t f I j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
>j
W`rëjbj
.
Dvda Dv daiidãèj Ei Eifda fda b` Kdt Kdt`kä `kättih ihdd
Fjk`<
Bdtd<
Wrje`ssjr(d)<
IFEJ^KDÃÈJ<
/
/
@fh. @buhdãèj<
4. Aì ` dssifdad hjk ] d r`spjstd hjrr`td pdrd hdbd jpãèj.
d) X`t`ftd ` jitj b`z`fds
3=
3=7
37=
n) Ed Edatd atd ukd ufibdb` pdrd 977
=77
=99
=79
` j bjnrj bj bds b`z`fds
=2=
2=2
855
b) Edatd ukd b`z`fd pdrd 4777
977
997
999
h) J dacdriskj bds ufibdb`s é icuda dj bds h`ft`fds
>. Hjkpa`td d tdn`ad hjk d b`hjkpjsiãèj bjs fük`rjs ` d sud a`iturd.
Fük Fü k`rj
=59 370
B`hjk jkp pjsiã jsiãè èj
x 477 +
x 47 +
A`it `itu urd
x4
9=8 =0=
j r v i a i d C © • j b j ë r ` W j . > • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
8. Jns`rvd js
fük`rjs s`cuift`s.
=00
009
0=9
9=0
900
=90
8.4 @shr`v` js fük`rjs dft`rijr`s pjr jrb`k b`hr`sh`ft` b`hr`sh`ft` usdfbj j sifda hjrr`tj.
8.> Hjajhd js fük`rjs dft`rijr`s `ftr` =77 ` 4777 fd r`td fukérihd s`cuift`.
=77
=07
977
907
4777
2. Hjkpa`td ds jp`rdãð`s.
40 < 0 ;
pjrqu`
x 0 ; 40
4= < 5 ;
pjrqu`
x 5 ; 4=
87 < 5 ;
pjrqu`
x 5 ; 87
87 < 0 ;
pjrqu`
x 0 ; 87 >3
q udftibdb` b` jvjs bd Wäshjd Wäshjd 0. Jns`rvd d qudftibdb`
Eänrihd D 20> jvjs
v`fbibjs pjr buds eänrihds b` hmjhjadt`.
Eänrihd N 279 jvjs
0.4 Tudftjs jvjs v`fb`u d eänrihd D kdis bj qu` d eänrihd N:
^.<
0.> Tudftjs jvjs v`fb`rdk ds buds eänrihds, fj tjtda:
^.<
5. Hjkpa`td hjk j fük`rj b` jvjs hjrr`spjfb`ft` d hdbd situdãèj.
40
bjnrj
57
t`rãd pdrt`
>0
tripaj
>7
quëftupaj
3. ^`adhijfd hjrr`tdk`ft`.
4
>=
4 >
4 8
4 2
j r v i a i d C © • j b j ë r ` W j . > • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
=. Hjkpa`td ds
erds`s hjk ds pdadvrds s`cuift`s.
quifz`
triftd
Pk dfj t`k
s`t`
s`ss`ftd
k`s`s. Pkd s`kdfd t`k
Pkd mjrd t`k
dkicj A`jfdrbj. Jns`rvd-j.
9.4 @k qu` bid bid bd s`kdfd edz dfjs j A`jfdrbj: A`jfdrbj:
D T P I ^ T P D C R @ ^ K X @ C B J K
@] X D N X @]
> 4 > 4
^.<
9 = 9 3 = 3 5 4 5 0 4 4 0 2 4 4 2 8 4 4 8 > 4 4 > 4 4 4 4 7 4 4 7 4 8 > 8 > > > > 4 > > 4 7 > > 7 9 > 4 9 = 4 4 = 3 4 4 3 4 7 8 7 9 8 > 9 = > > = 3 > > 3 5 > > 5 0 > > 0 2 > > 2 > 2 8 2 8
@k qu` bid bid é j üatikj sändbj bj kìs: ^.<
9.8
kifutjs.
kifutjs.
Cdnr i`ad dssifdaju, fj hda`fbärij, j bid bj dfiv`rsärij bj 9. D Cdnri`ad
9.>
bids.
kifutjs. K`id mjrd t`k
Pk qudrtj b` mjrd sèj
bjz`
5 0 5 0
8 4 8 4
Xdn`fbj qu` j A`jfdrbj edz dfjs fd prikdv`rd, d qu` k`s`s pjb` hjrr`spjfb`r `st` hda`fbärij: ^.<
A`jfdrbj hjk`ãju çs 42 m 87 kif. 47. D e`std b` dfiv`rsärij bj A`jfdrbj 44
j r v i a i d C © • j b j ë r ` W j . > • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
r`aøcij d mjrd b` ifëhij bd e`std. e`std. 47.4 Dssifdad fj r`aøcij 47.> D Cdnri`ad hm`cju ç mjrd kdrhdbd ` sdiu çs 4= m 20 kif.
4
47
>
9
8 =
Tudftj t`kpj `st`v` fd e`std:
4>
2 3
5
0
^.<
Wdrd ir b` sud hdsd ç hdsd bj dkicj `ad pr`hisd dp`fds 44. D Cdnri`ad ` j A`jfdrbj sèj vizifmjs. Wdrd b` bdr >7 pdssjs. ^jb`id d bistîfhid qu` d Cdnri`ad Cdnr i`ad p`rhjrr`. 57 bk
57 hk
57 kk >9
4>. Jns`rvd j p`rhursj e`itj p`ad Cdnri`ad.
Hdsd bj A`jfdrbj Hdsd bd Cdnri`ad 4>.4 Dssifdad
hjk ] d jpãèj qu` j b`shr`v`.
D @k er`ft` ‘ qudrtj b` vjatd ç `squ`rbd ‘ `k er`ft` ‘ qudrtj b` vjatd ç . bir`itd ‘ `k er`ft` ‘ qudrtj b` vjatd ç `squ`rbd ‘ `k er`ft` ‘ qudrtj b`
vjatd ç `squ`rbd ‘ `k er`ft`. N. @k er`ft` ‘ qudrtj b` vjatd ç `squ`rbd ‘ `k er`ft` ‘ qudrtj qudr tj b` vjatd ç
bir`itd ‘ `k er`ft` ‘ qudrtj b` vjatd ç bir`itd ‘ `k er`ft` ‘ qudrtj b` vjatd ç `squ`rbd ‘ `k er`ft`. mdvid >2 hridfãds. D kè` bj A`jfdrbj cdstju 48. Fd e`std b` dfiv`rsärij, mdvid 4 sdhj b` hmdpéus pdrd hdbd crupj b` 8 hridfãds ` uk pdhjt` b` ndað`s pdrd hdbd crupj b` 5 hridfãds. Tudftjs sdhjs b` hmdpéus ejrdk f`h`ssärijs:
^.<
f`h`ssärijs: 48.4 @ qudftjs pdhjt`s b` ndað`s ejrdk f`h`ssärijs:
^.< edhiak`ft` dssjhidr djs hmdpéus 42. ^jb`id j fjk` bj søaibj qu` pjb`kjs edhiak`ft` bd e`std. hiaifbrj
hunj
hjf`
pdrda`a`pëp`bj
42.4 @ss` søaibj é uk pjai`brj ju uk fèj pjai`brj:
^.< 40. Js hjfvibdbjs s`ftdrdk-s` `k r`bjr b` ukd k`sd hjkj d bd eicurd.
Tuda `rd j p`rëk`trj bd k`sd:
> k`trjs 2 k`trjs ^.< 87
j r v i a i d C © • j b j ë r ` W j . > • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
8j
W`rëjbj
.
Dvdaaidã Dvd idãèj èj Ift`rkébi Ift`rkébidd b` Kdt`kätih Kdt`kätihdd
Fjk`<
Bdtd<
Wrje`ssjr(d)<
IFEJ^KDÃÈJ<
/
/
@fh. @buhdãèj<
4. D
turkd bd Närndrd t`k >> daufjs ` tjbjs ejrdk dj t`dtrj. Ç pjrtd a`rdk j s`cuift` hdrtdz ifejrkdtivj. Aì-j. R@DR^J KPFIHIWDA
XÄ B@ KI^DFBD
E`stivdab`
t`dtrj Aucdr`s s`ftdbjs< 3>7 Wr`ãj< 5 ₡
Ifëhij bd p`ãd b` t`dtrj< >4 m 40 kif fflfda bd p`ãd b` t`dtrj< >> m 87 kif
4.4 Tudfbj
^.< 4.> Tudftjs aucdr`s fflhdrdk difbd aivr`s fj t`dtrj:
`ftrdrdk fd sdad lä `stdvdk s`ftdbds 0=7 p`ssjds. Tudftjs aucdr`s fflhdrdk jhupdbjs dpøs d `ftrdbd bd turkd bd Närndrd:
^.
b` ifëhij ` b` fflk bd p`ãd.
4
44 >
47
9
5
8
=
2 3
0
Ifëhij bd p`ãd j r v i a i d C © • d i b é k r ` t f I j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
>
9
2 3
4
47 8
=
4>
5
0
Eifda bd p`ãd
4.2 Tuda eji d burdãèj bd p`ãd b` t`dtrj:
^.7
>4
>>
57
^.. Jns`rvd d ejrkd ` ds bik`fsð`s bj pdahj bj t`dtrj.
40 k`trjs 43 k`trjs
43 k`trjs
>> k`trjs
>.4 Dssifdad hjk d eicurd c`jkétrihd (pjaëcjfj) qu` j pdahj r`pr`s`ftd.
Rriîfcuaj
Tudbriaät`rj
W`ftäcjfj
M`xäcjfj
>.> Hdahuad j p`rëk`trj bj pdahj.
^. Hdbd hridfãd hjk`u buds edtids bj njaj. Dssifdad hjk d
pdrt` b` hdbd njaj qu` hdbd
hridfãd hjk`u. 4 477 4 0
4 > 4 47
4 2 4 8
2. J
sukj b` adrdfld eji s`rvibj `k ldrrds hjk d hdpdhibdb` b` > aitrjs hdbd. Pkd ldrrd `fhmid tjtdak`ft` = hjpjs icudis. Hdbd hridfãd n`n`u 4 hjpj hm`ij. Dssifdad hjk d qudftibdb` b` sukj hjfsukibd pjr hdbd hridfãd:
4 a > a 8>
4 a 2 a
4 a 0 a
4 a 47 a
4 a 8 a
j r v i a i d C © • d i b é k r ` t f I j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
8j
W`rëjbj
.
Dvda Dv daiidãèj Ei Eifda fda b` Kdt Kdt`kä `kättih ihdd
Fjk`<
IFEJ^KDÃÈJ<
Bdtd<
Wrje`ssjr(d)<
/
/
@fh. @buhdãèj<
4. ^`adhijfd ds `tiqu`tds hjk
j k`skj fük`rj r`pr`s`ftdbj.
> x 477 + = x 47 + 5
5= x 47 + >
= x 477 + >5
=5 x 47 + >
5=>
>=5
=5>
=>5
>. Hjfsib`rd
js s`cuift`s fük`rjs ` rjb`id d v`rb` j dacdriskj bds h`ft`fds, d v`rk`amj j dacdriskj bds b`z`fds ` d dzua j dacdriskj bds ufibdb`s. =92
4==
>.4 Jrb`fd js fük`rjs
293
>33
pjr jrb`k hr`sh`ft`.
1
1
1
1
>.> Hjkpa`td j
s`cuift` bidcrdkd b` Hdrrjaa, usdfbj tjbjs fük`rjs dft`rijr`s.
ibdb`s ufibdb`s Dacdriskj bds uf icu cuda da dj bds b`z`fds j r v i a i d C © • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
=3=
ibdb`s ufibdb`s Dacdriskj bds uf bie bi e `r`f `r`ft` bj bds b` b`z z`fds
Fük`rjs Fü k`rjs p pdr`s dr`s Fük`rjs Fü k`rjs ë ë kpdr`s
>.8 ^`adtivdk`ft`
dj fük`rj kdijr, r`spjfb`<
• Tuda
• Tudftds
b`z`fds t`k j fük`rj:
. .
• Tudftds
ufibdb`s edatdk pdrd 9 h`ft`fds:
.
j dacdriskj bds ufibdb`s:
88
8. Ptiaizdfbj uk kétjbj ç
tud `shjamd, `e`tud ds jp`rdãð`s s`cuift`s.
8=2 + >>3 ;
585 ‘ >5= ;
2. Hjkpa`td ds jp`rdãð`s.
x 2 ; >7
>3 < 8 ;
2x
8x2; x 5 ; 85
57 < 5 ; 80 < 0 ;
27 < 2 ; 2x ; >2
0x
>= < 2 ;
2= < 5 ;
; 20
; 45
pdr t` ifbihdbd p`ad erdãèj. 0. Wiftd `k hdbd ikdc`k d pdrt`
4 >
5. ^jb`id ds a`trds qu`
4 2
4 0
4 47
4 8
tìk sik`trid ` trdãd d v`rk`amj js `ixjs b` sik`trid r`sp`tivjs.
DNHB@EC 82
j r v i a i d C © • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
3. Jns`rvd js s`cuift`s hrjkjs.
D
N
H
@
B
3.4 Hjk d dlubd b` ukd u kd récud ifbihd j p`rëk`trj bjs hrjkjs, hjkpa`tdfbj
ds erds`s.
J p`rëk`trj bj hrjkj D é h`ftëk`trjs? bj hrjkj H é h`ftëk`trjs? bj hrjkj B é h`ftëk`trjs? bj hrjkj @ é h`ftëk`trjs.
J hrjkj qu` t`k kdijr p`rëk`trj é j hrjkj . é j hrjkj
` j qu` t`k k`fjr p`rëk`trj
=. Jns`rvd
ds mjrds r`pr`s`ftdbds ` ifbihd ds bie`r`ft`s r`e`iãð`s d qu` hdbd ukd pjb` `stdr dssjhidbd. X`cu` j `x`kpaj. D 44
4>
N 4
44 >
47
9
2 3
5
44 >
9
4
2 3
5
0
4>
4 >
47 8
=
0
44 >
9
2 5
4>
B
47 8
= 3
0
H
4
47 8
=
4>
9
8
=
2 3
5
0
p`qu`fj-dakjãj
=.4 ^`pr`s`ftd
fjs r`aøcijs bicitdis D, N, H ` B hdbd ukd bds mjrds ifbihdbds fjs r`aøcijs dhikd, fèj `squ`h`fbj s` s` trdtd bj p`rëjbj bd kdfmè ju bd tdrb`. D
j r v i a i d C © • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
=.> ^`pr`s`ftd
N
H
B
fj r`aøcij d mjrd d qu` hjstukds tjkdr j p`qu`fj-dakjãj burdft` js bids
b` duads. 44
4>
4 >
47
9
8
=
2 3
5
0
80
9. Hjk d dlubd b`
ukd récud ` utiaizdfbj js pjftjs pj ftjs bispjfëv`is, trdãd<
• uk p`ftäcjfj ` piftd-j b` dkdr`aj? • uk m`xäcjfj ` piftd-j b` v`rk`amj?
• uk qudbriaät`rj ` piftd-j b` dzua.
47. Jns`rvd ds ndadfãds s`cuift`s.
D
N
D
H
47.4 Jrb`fd js nrifqu`bjs pjr jrb`k b`hr`sh`ft` b` kdssd, `shr`v`fbj js s`us fjk`s.
6 44. Mjl`
6
hjk`rdk fd `shjad >27 daufjs. 4>7 daufjs `shjam`rdk hdrf`, =7 daufjs `shjam`rdk
p`ix` ` js r`stdft`s `shjam`rdk j prdtj p rdtj v`c`tdridfj. 44..4 Tudftjs daufjs `shjam`rdk j prdtj v`c`tdridfj: 44 ^. B` dhjrbj hjk js bdbjs dft`rijr`s, hjkpa`td j pihtjcrdkd b`s`fmdfbj j fük`rj b` 44
prdtjs f`h`ssärijs. Wr` r`e e `rìfh `rìfhid id p pjr jr r` r`e e `iãè `iãèj f fd d h hd dfti tif fd
; >7 daufjs
hdrf` 85
p`ix`
v`c`tdridfj
j r v i a i d C © • a d f i E j è ã d i a d v D • d h i t ä k ` t d K • j f d j . > • s j h i t s ä t f d E s J
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