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www.asiriyar.com a. 18435

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www.asiriyar.com ngUf;fy; - FO tpisahl;L ngUf;fy; tha;gg ; hl;il khzth;fs; fw;wgpd; nfhLf;fg;gl;Ls;s ngUf;fy; ml;ilia xt;nthU khztDf;Fk; nfhLf;fTk.; xUthplk; cs;s fzf;fpw;Fhpa tpil cs;sth;> mjw;Fhpa tpiliaAk;> gpd;gf;fj;jpy; cs;s fzf;ifAk; nrhy;yTk;. mijj;njhlh;e;J nra;aTk;. cjhuzkhf Kjy; khztdplk; cs;s ml;ilapy; jhspd; 9 x4

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19

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www.asiriyar.com Front Sheet - 1





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Back Sheet - 1





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www.asiriyar.com Front Sheet - 2





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www.asiriyar.com Back Sheet - 3





6X7 5X2 8X8

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Front Sheet - 4





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www.asiriyar.com gapw;rpj;jhs;-9 1. ngUf;Ff a). 7

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www.asiriyar.com 5. ngUf;fp tpil fhz;f a) 1 4 4 24 576 - - - *

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648 29 - - 2 - - *

29

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www.asiriyar.com gapw;rpj;jhs;-10 1. ngUf;fp tpil fhz;f. a) 328

b)

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256 X

121 X

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256

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30

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www.asiriyar.com gapw;rpj;jhs;-11 1. ngUf;fw;gyidf; fhz;f a. 10 x 9

b. 8 x 7

c. 24 x 6

d. 32 x 12

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c. 1008 x 16

d. 2054 x 22

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2. ngUf;Ff a. 347 x 21

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= 36

13) ---- X ------- = 16 14) 5

X ------ = 15

15) 4

X ------- = 0

31

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www.asiriyar.com 2. 6 cld; 4 Ig; ngUf;fpdhy; vd;d tUk;? 3. xt;nthUthplKk; 10 kpl;lha;fs; cs;sd. vdpy; 5 Nghplk; cs;s nkhj;j kpl;lha;fspd; vz;zpf;if vt;tsT? 4. 8 cld; ve;j vz;izg;ngUf;fpdhy; 32 tUk;?

32

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www.asiriyar.com tFj;jy; : Kiw : 1

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13

14

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19

20

21

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25

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33

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tFf;Fk; vz;iz 9 Kiw $l;bf; nfhs;s (xd;wd; fPo; xd;whf) Ntz;Lk;. tFgLk; vz;zpy; 5875-y; 58 vd;gJ 3 Kiwf;Fs; te;Js;sJ. 4 Kiwapy; 64 cs;sJ. ,J 58-I tpl mjpfk;. vdNt
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www.asiriyar.com gapw;rpj;jhs;-12 tFj;jy; : 1. ml;ltizapy; tpisahl;L X

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x). 12÷2

g). 72÷9

p). 21÷7

y). 40÷5

h). 72÷8

q). 35÷5

z). 56÷8

i). 27÷9

r). 16÷4

2. a). 9÷3

35

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www.asiriyar.com gapw;rpj;j hs; - 13 1 tFf;f a) 8 ÷ b) 6 ÷ c) 10 ÷ d) 4 ÷

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7 8 8 9

3

4

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36

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www.asiriyar.com 8a) b) c) d)

8 9 7 5

÷ ÷ ÷ ÷

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a) b) c) d)

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96

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6

37

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www.asiriyar.com gapw;rpj;jhs;-14 1. tFj;J tpil fhz;f. a. 369÷3 b. 424÷2

o. 200÷2

3. tpil fhz;f

2. tFf;f

c. 555÷5

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819÷9

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f.

i.

164÷4

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129÷3

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5305÷5

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270÷ 27

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j.

80824÷8

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480÷ 16

639÷9

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m. 273÷3

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96369÷3

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38

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www.asiriyar.com gapw;rpj;jhs;-15 1. tFj;J kPjp fhz;f a. 484÷3 b. 784÷7 c. 956÷8 2. d. 254÷4 e. 379÷6 f.

899÷8

3. g. 658÷7 h. 768÷5 i.

856÷7

j.

1142÷3

4. k. 7453÷2 l.

9575÷6

5. m. 8495÷7 n. 2593÷4 o. 6779÷9 6. p. 2596÷6 q. 3759÷8 r.

8657÷7

7. s. 415÷415 t.

6756÷1

u. 9670÷1

39

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www.asiriyar.com gapw;rpj;jhs;-16 1. tFj;J kPjp fhz;f a. 24 ÷ 12 b. 39÷ 13 c. 75÷ 15 d. 125 ÷ 15 2. a. 84 ÷ 16 b. 128 ÷ 12 c. 325 ÷ 24 d. 256 ÷ 16 3. a. 250 ÷ 10 b. 75 ÷ 10 c. 120 ÷ 10 d. 780 ÷ 10 4. a. 1142÷3 b. 7453÷2 c. 9575÷6 5. a. 586 ÷ 13 b. 674 ÷ 12 c. 842 ÷ 14 d. 784 ÷ 16 6. a. 856 ÷ 10 b. 945 ÷ 10 c. 460 ÷ 15 d. 655 ÷ 18 7. a. 816 ÷ 20 b. 746 ÷ 18 c. 956 ÷ 17 d. 415 ÷ 15 8. a. 5480 ÷ 10 b. 7986 ÷ 12 c. 8572 ÷ 14 d. 9655 ÷ 15

40

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www.asiriyar.com gapw;rpj;jhs; : 17 1. xUthplk; 6 Mg;gps;fs; cs;sd. mjid 3 NgUf;F rkkhf nfhLj;jhy; xt;nthUtH ngWk; Mg;gps;fspd; vz;zpf;if ahJ? 2. RNu\; xU thuj;jpy; 42 kzp Neuk; gbf;fpwhH vdpy; mtH ruhrhpahf xt;nthU ehSk; gbf;Fk; Neuk; vt;tsT? 3. je;ij jd;dplk; cs;s &.600-id jd; ehd;F kfd;fSf;F rkkhfg; gphpj;Jf; nfhLj;jhy; xt;nthU kfDf;Fk; fpilf;Fk; njhif vt;tsT? 4. xUtH jd; FLk;g tpohtpw;F 40 fpNyh fpuhk; jf;fhspia &.840/-f;F thq;fpdhH vdpy; 1 fpNyh fpuhk; jf;fhspapd; tpiy vd;d? 5. 10>000 kzpfis 5000 kzpfshf vj;jid egHfSf;F gphpj;J nfhLf;fyhk;? 6. xUthplk; cs;s 645 yl;Lfis 32 khzth;fSf;F rkkhf nfhLj;jhy; kPjKs;s yl;Lfspd; vz;zpf;if vd;d? 7. 54 vd;w vz;Zld; ve;j vz;fisf; $l;Lk;NghJ 2> 3> 4> 5> 6 My; tFgLk;?

41

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www.asiriyar.com gapw;rpj;jhs; : 18 1. tFf;f a. 8 ÷ 4

b. 24 ÷ 8

c. 74 ÷ 2

2.

a. 156 ÷ 7

b. 1257 ÷ 6

c. 5078 ÷ 9

3.

a. 75 ÷ 75

b. 65 ÷ 1

c. 405 ÷ 405

4.

a. 87 ÷ 8

b. 100 ÷ 10

c. 936 ÷ 3

5.

a. 44000 ÷ 440

b. 938 ÷ 13

c. 560250 ÷ 51

6. Mrphpahplk;

d. 40402040 ÷ 20

cs;s 528 Nehl;L Gj;jfq;fis 75 khzth;fSf;F rkkhf

nfhLf;f Ntz;Lk; vdpy; kPjKs;s Nehl;L Gj;jfq;fs; vj;jid? 7. ngUf;fp tpil vOJ : a. 328 X 64

b. 720 x 65

42

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www.asiriyar.com gapw;rpj;jhs; : 19 1.

$l;Lf : a. 3467

b. 1005 + 759 + 26 + 7 = ?

439 270

2. m). m[a; Kjy; gUtj;NjHtpy; ngw;w kjpg;ngz;fs; gpd;tUkhW. jkpo;-85> Mq;fpyk;-78> fzpjk;-95> mwptpay;-90> r%f mwptpay; -86. mtH ngw;w nkhj;j kjpg;ngz;fs; vt;tsT? 3. a. 7598

b. 7456 + 3694 - 250

3499

4. epuQ;rdplk; &.1850 cs;sJ. mjpy; &.825-f;F Gj;jfq;fs; thq;FfpwhH. mthplk; kPjKs;s gzk; vt;tsT? 5. a. 545 +

= 756

b. 650 -

= 320

6. ngUf;Ff : 476 X 27 7. tFj;J kPjp fhz;f. a. 1058 ÷ 6 b. 756 ÷ 12

43

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www.asiriyar.com kP.rp.k fhZk; Kiw klq;F Kiw: ,uz;L vz;fspd; kPrr ; pW nghJ klq;F fhz nfhLf;fg;gl;l vz;fspis jdpj;jdpNa mNj vz;Zld; $l;l Ntz;Lk;. tpil xNu khjphp tUk; tiu ,k;Kiw njhlu Ntz;Lk;.; xNu khjphp tUk; vz;Nz kP.rp.k vdg;gLk;. cjhuzk;: 16> 24 d; kP.rp.k fhz;f 16

24

16 +

24+ 24

32

48

16 + 48 vdNt kP k.P rp.k = 48 fhuzp Kiwapy; kP.rp.k kw;Wk; kP. ngh.t fhzy; 30> 42 2 30

2 42

3 15

3 21

5 5

7 7

1

1

30 d; fhuzpfs; = 2

x 3 x5

42 d; fhuzpfs; = 2

x 3

x7

kP.ngh.t = nghJthd fhuzpfspd; ngUf;Fj;njhif = 2 x 3 = 6 kP.rp.k = nghJthd fhuzp x tpLgl;l fhuzp = 2 x 3 x 5 x 7 = 6 x 35 = 210 44

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www.asiriyar.com gpd;dk; gpd;dk; - tpsf;fk;

= ¼ = njhFjp/gFjp

= 2/7 rkhd gpd;dq;fs;: xNu msit my;yJ xNu kjpg;ig Fwpf;Fk; gpd;dq;fisr; rkhd gpd;dq;fs; vd;fpNwhk;.



= 2/4

= 4/8

,jpy;

½ = 2/4 = 4/8

45

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www.asiriyar.com gapw;rpj;jhs; - 20 I) kP.rp.k kw;W k; kP.ngh.t fhz;f klq;F Kiwapy;

1)

12> 36

2)

15> 45

3)

18> 72

4)

5> 20

5)

13> 65

6)

5> 18

7)

7> 21

8)

42> 118

II) fhuzp Kiwapy; kP.rp.k kw;W k; kP. ngh. t fhz;f

1) 6>30 2) 12> 64 3) 20> 125 4) 34> 102 5) 24> 72 6) 36> 54 7) 108> 48 8) 84> 160

46

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www.asiriyar.com gapw;rpj;jhs; - 21 Xhpd gpd;dq;fis $l;Lf:

I) 1 1

3

2

+

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4

5

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2

5

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6

7

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7

7

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5

11 =

4

6

+

6 4

5

9

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7 6

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9

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9

2

9

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9

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3

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8 8

3

=

2

7

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=

7

1 9

5

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5

3 =

7 10

10

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10

3 =

10

47

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www.asiriyar.com KOf;fs; mwpKfg;gLj;Jjy; vz; Nfhl;bd; %yk; khzth;fSf;F Fiw vz;fs;> G+r;rpak;> kpif vz;fs; Nghd;wtw;iw mwpKfg;gLj;Jjy;.

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2

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4

5

6

KOf;fspy; ,uz;L vz;fisf; nfhLj;J mtw;wpy; vJ nghpaJ? vJ rpwpaJ? vd;gij fz;lwptJ vt;thW vd;W gy tpsf;fq;fisf;$wp Ghpa itj;jy;.

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Fwpiag; ngUf;Ftjw;F ,e;f Kf;Nfhz tbtj;ijg; gad;gLj;jf;$Wjy;. 48

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www.asiriyar.com +

Fwpiag; ngUf;Ftjw;F ,e;j Kf;Nfhz tbtj;ijg; gad;gLj;j f; $Wjy;.

-

-

(+) × (-) =

-

(-) × (+) =

-

(-) × (-)

= +

+ VNjDk; ,U Fwpiaf; ngUf;Ftjw;F mjidg; glj;jpy; iffshy; kiwj;J %d;whtij tpilahf vOjr; nrhy;Yjy; (+) × (+) mjhtJ ,uz;L vz;fSk; kpif vz;zhf te;jhy; ngUf;fp + Fwpia ,lr; nrhy;Yjy; Ntz;Lk;. ,uz;lhk; gbf;F>ngUf;fy; tha;g g ; hl;il ed;F kddk; nra;ar; nrhy;yp mjd; %yk; vz;fisg; ngUf;fp vOjr; nrhy;Yjy; vLj;Jf;fhl;L:1. (+3) × (-7) = -21 2. (-2) × (+4) = - 8 3. (-3) × (-3)

= +9

Fwpg;G: ,k;Kiwapy; gapw;rpfs; ngw;w gpd;dh; Fwp xNu khjphp te;jhy; $l;ly; Fwp vd;Wk;>Fwp khwp te;jhy; fopj;jy; Fwp ,l Ntz;Lk; vd;Wk; mwpa itj;jy;. KOf;fspy ; tFj;j y; KOf;fspy; tFj;j y; nra;Ak; NghJ Fwpfis Kjypy; tFj;J gpd;dh; vz;fis tFf;fr; nrhy;y Ntz;Lk;. Fwpfis tFf;f>ngUf;fYf;F vd;d Kiwig; gpd;g w;wpNdhNkh>mijNa gpd;gw;wr; nrhy;Yjy;. Fwpfis tFj;j gpd;dh;>tof;fk; Nghy vz;fis tFj;J vOjr; nrhy;Yjy; Ntz;Lk;. vLj;Jf;fhl;L:-

49

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www.asiriyar.com 1. (-8) ÷ (+2)

= -4

2. (+12) ÷ (-3) = - 4 3. (-6) ÷ (-3)

= +2

4. (-15) ÷ (-5)

= +3

5. (+10) ÷ (-2) = - 5 6. (-20) ÷ (+4) = - 5 1.ngUf;fy; tha;g g ; hl;il kddk; nra;ar; nrhy;Yjy; 2.KOf;fspy; $l;ly;>fopj;jy; 3.KOf;fspy; ngUf;fy;>tFj;jy; KOf;fspy; $l;ly; fopj;jy; KOf;fs; vd;gJ kpif vz;fs;>Fiw vz;fs;>G+r;rpak; Mfpa %d;Wk; Nrh;e;jjhFk;. ,jpy; $l;ly; nraiyr; nra;Ak; NghJ vz;fspd; Fwpfs; xNu khjphpahf ,Ue;jhy; $l;b mNj Fwpia ,lNtz;Lk;. vLj;Jf;fhl;L: 1. (+2) + (+3) = +21 2. (+11) + (+4) = +15 3. (-7) + (-3)

= -10

4. (-4) + (-6)

= -10

kpif vz; kw;Wk; Fiw vz; fye;J xNu fzf;fpy; te;jhy; Fwpiag; ghh;ff ; hky; nghpa vz;zpypUe;J rpwpa vz;izf; fopj;J nghpa vz;zpd; Fwpia ,lr; nrhy;Yjy; Ntz;Lk;. vLj;Jf;fhl;L: 1. (-3) + (+1)

= -2

2. (+7) + (-2)

= +5

3. (-9) + (+1)

= -8

4. (-2) + (+8)

= +6

5. (-1) + (+11)

= +10

50

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KOf;fspd; fopj;jy; KOf;fspy; fopj;jy; nra;Ak; NghJ ,uz;lhtJ vz;zpd; Fwpia khw;wp $l;lr; nrhy;y Ntz;Lk;. tof;fk; Nghy>$l;ly; nraiy vt;thW nra;a Ntz;Lk; vd;w tjpfisg; gad;gLj;j p $l;lr; nrhy;y Ntz;Lk;. vLj;Jf;fhl;L: 1 (-7) - (-3) Kjy; gb

= (-7) – (-3)

,uz;lhk; gb = - 4 vLj;Jf;fhl;L : 2 (+3) – (+8) = (+3) + (-8) =-5

51

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www.asiriyar.com gapw;rpj;j hs; - 22 1.ngUf;fw;gyidf; fhz;f a) . 10 × 9

b). 8 × 7

c) 24 ×6

d) 32 ×12

b) 743 ×18

c) 1008 ×16

d) 2054 ×22

c) 426 ×426

d) 256 × 76

2. ngUf;Ff. a) 347 × 21

3.kjpg;G fhz;f a) 408 × 200 b) 225 ×40 4.tpil fhz;f a) 16 × 16

b) 756 × 1

c) 5461 × 325 d) 248 × 36

2) ngUf;fp tpil fhz;f 1) 7 2 35 X

2)

848 27

360

--6

- - -*

- - -*

X

52

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topfhl;Ljy; jy jpU. ,uh. KUfd; M.Sc., M.Ed., M.Phil., Kjd;ikf; fy;tp mYtyh;> jpUg;G+h;.

jahhpg;G cjtp njhlf;ff; fy;tp mYtyh;> Mrphpah; gapw;Weh;fs; kw;Wk; Mrphpah;fs; FO nghq;fYhh; xd;wpak;

53

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