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ry,muj3I’ry, Eastern Printing Public Co.Ltd 51/29 Moo 3 Soi Saimsamakee -Aoxt4q,lbdlk xumu $

Wiphawadee Rangsit Road Talad Bangkhen Laksi Bangkok 10210

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km2 hm2 dam2 m2 dm2 cm2 mm2
50000
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3500000
2900

5 m2 = 50 000 cm2 ; 1 dm2 = 0, 01 m2 ;
3,5 km2 = 3 500 000 m2 ; 29 cm2 = 2 900 mm2.

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lv’Ihvply[lurj aogdqhkIhvpluj |b’j ]hko|b’j \noj lv’raocxfIhvpgdqhkly[

#D 9qj’0Po9eo;o8+wxouhgxao8q;|a’lnD 5302 : . . . . . . . . . . . .
8004 : . . . . . . . . . . . .
405 : . . . . . . . . . . . . 9700 : . . . . . . . . . . . .
7841 : . . . . . . . . . . . . 36006 : . . . . . . . . . . . .
9053 : . . . . . . . . . . . .
24605 : . . . . . . . . . . . .

45023 : . . . . . . . . . . . . 69017 : . . . . . . . . . . . .

6

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400 + 60 + 3 . . . . . . . . . . ( 4 V100 ) + ( 6V10 ) + 3
400 + 30 + 6 . . . . . . . . . . ( 100V4 ) + ( 10V3 ) + 6
5000 + 300 + 40 + 2 . . . . ( 1000V5 ) + ( 100V3 ) + ( 10 x 4)+2
7491 . . . . . . . (7V1000 ) + ( 9V100) + (4V10 ) +1
92637 . . . . . (9 V 10 000)+ (2 V 1000 ) + (3V100) + (6V10)+7

&D 9q’j 9af]Po9eo;o]5,j ouhD

254 ; 125 ; 362 ; 452 ; 524 ; 623 ; 1428;
4812 ; 8124 ; 9251 ; 5219 ; 2915.

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5463 = ( 5 V. . . . . ) + ( 4 V . . . . ) + ( 6 V. . . . . . ) +. . . . .

9872 = ( 9 x . . . . . ) + ( 8 x . . . . .) + ( 7 x . . . . .) + . . . . . .

27458 = ( 2 V. . . . . ) + ( 7 V. . . . . ) + ( 4 V. . . . . . ) + ( 5 V. . . . . . ) + . . . . .
32749 = ( 3 V. . . . . ) + ( 2 V . . . . ) + ( 7 V . . . . . ) + ( 4 V. . . . . . ) + . . . . .

7

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(4V100 000)+ (6V10 000) + (1V1000) + (5V100) + (6V10) + 9
(3V100 000)+ (1V10 000) + (4V1000) + (1V100) + (2V10) + 2
(3V100 000)+ (1V10 000) + (4V1000) + (1V100) + (1V10) + 1
(2V100 000)+ (1V10 000) + (7V1000) + (3V100) + (6x10) + 4
(2V100 000)+ (1V10 000) + (4V1000) + (9V100) + 4
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0v’]hko 0v’rao
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!D 9qj’vjko c]t 0Po9eo;o]5j,oUgxao8q;|a’lnD 5 417 851

2 749 ; 5 862 ; 43 250 ; 325 725 ;

@D 9qj’0Po[vd7kj 0v’8q;g]dc8j]t8q;mu0j Boda[mu8j A’0v’,aoD

52 376 ; 792 364 ; 5 246 541

#D 9q’j 9af]Po9eo;o]5j,oUc8j|hvpsks^kpD 5847 ; 7584.

2 649 ; 2 469 ; 4269 ; 6942 ;

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59 846 = (5 V . . . ) + (9 V . . . ) + (8 V . . . ) + (4 V . . . ) + . . .
82 120 = (8 V . . . ) + (2 V . . . ) + (1 V . . . ) + (2 V . . . ) + . . .

9

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5432 = 5000 + 400 + 30 + 2 = 5.103 + 4.102 + 3.10 + 2

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$ gvUo;kj 8q;de]a’D
!D 14!44W24443 V !W V !W V !W = !W$

! gmnvj

1 4 44 2 4 44 3
1 4 4@4gm2njv 4 44 3

# gmnvj
1 4 44 2 4 44 3

$ gmnvj

10

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!WW WWWF !WWW WWWD

!WW WWW !W WWW ! WWW !WW !W

!WV!WV!WV!WV!W !WV!WV!WV!W !WV!WV!W !WV!W !W
!W& !W$ !W# !W@ !W!

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208 320 = (2V100 000 ) + ( 8V1 000 ) + ( 3V100 ) + ( 2V 10 )
s^n 208 320 = (2V105 ) + ( 8V103 ) + ( 3V102 ) + ( 2V101 )

III. [qfg/ydsafD ສະຫງສ.ວວນ.ລິສຂະສິດ

!D 9qj’0Pogxaog]dde]a’0v’ !WD

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dD !WV!WV!WV!W = . . . . .
0D !WV!WV!WV!WV!WV!W = . . . . .

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0D _*)$ =............................
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11

[qfmu 3 g8adoyddko[;d

I. dyf9tdeD 0D !@W T )W T #* = . . . .
CD $& T && T @# = . . . .
!D 9qj’7yfw]g]d]5,j oU G
dD @) T !@ T (& = . . . .
7D @_ T (! T !* = . . . .

@D 9qj’8nj,8q;g]d.l[j jvo9Eg,afD 0D #) T !* T *
dD !) T @( T &

@W ( #$ $ ສະຫງສ.ວວນ.ລິສຂະສິດ
DDD DDD DDD

DDD DDD

#D 9qj’[;dg]d]5,j oU G DDD
dD 4 + 7 = . . .
0D 4 + 6 = . . .
30 + 70 = . . .
300 + 700 = . . . 40 + 60 = . . .
3000 + 7000 = . . . 400 + 600 = . . .
4000 + 6000 = . . .

$D 9q’j xP[mP[3fp.lgj 7nvj ’\kp > ; < ; = .l[j jvo9Eg,afD

dD !(& T !@* T ##$ T !& D D D D D X !(& T !& ? T X!@* T ##$ ?

0D #() T !@ T $& T & D D D D D D D D X #() T !@ ? T X$& T & ? T *

7D &$! T @_ T *@ T !) D D D D D D D X&$! T @_ ? T X *@ T ) ?

12

II. .97;k,D

dko[;dg]d.shw;,us^kp;ymu G

!D gIaf.shzqo[;dgxao @D cpd9eo;o|bj’vvd #D 9af9eo;ogxao76j
!WF @WF D D D F!WW
grnjv.shzqo[;dgxao grnjv.shwfhzqo[;dgxao
8q;1jk’G
! T _ = !W !WF @WF D D D F!WW !WF @WF D D D F!WW
@ T ) = !W
# T ( = !W 8q;1kj ’G 8q;1kj ’G
$ T * = !W
& T & = !W (T) !1(44T42&144T4444#32T44!4&3 T ) =
(T#T& @W T @W T ) = $)

!W T &

!&

ສະຫງສ.ວວນ.ລິສຂະສິດ
III. [qfg/ydsafD

!D 9qj’8nj,8q;g]d.l[j vj o9Eg,afD
dD !$ T @# T #* T @( T !& = X !$ T #* ? T X D D D T D D D ? T !& =
0D * T ) T ( T $ T # = X D D D T D D D ? T X D D D T D D D ? T D D D =
7D @# T !( T !* T @$ T & = X D D D T D D D ? T X D D D T D D D ? T D D D =
CD #& T @# T !& T !( T ) = X D D D T D D D ? T X D D D T D D D ? T D D D =

@D 9q’j 7yfw]gj ]d]5,j oU G 360 + 640 = . . .
4235 + 3375 = . . .
528 + 460 = . . . ; 7685 + 2409 = . . .
476 + 467 = . . . ;
1782 + 3426 = . . . ;

#D xudkpoU]5’[q;7e gda[dkg2wfh !*&W dd F xuoU]k;gda[wfhs^kpd;jkxudkp
@&W ddD 4k,;kj xuoU]5’[q;7e gda[dkg2wfh9addy3]dik,D

13

[qfmu 4 g8adoyddko[;d X8+?

I. dyf9tdeD

!D oadIPo & 7qo s^Yogd,dkoc]dxjPofaj’ouh G
!W s^ c]dwfh ! [ S !W [ c]dwfh ! 2 S !W 2 c]dwfh
! 0 g0qkg9qhkrkdaos^uho # Iv[D

9q’j 7yfw]7j tcoo];,0v’c8]j t7qo c]h;9af]efa[mu.lj8k8t]k’

-noj adIPo Iv[mu ! Iv[mu @ Iv[mu # 7tcoo ]efa[mu
];,

mD [q;]u 0 0 02 222 ສະຫງສ.ວວນ.ລິສຂະສິດ
oD ,uok 2 2 2 [ [ [ [ s^ s^ #(&&
[ s^ s^ s^

0 0 0 022 22[

2 2 s^ s^ s^ s^ [ s^ s^

mDmv’lk 0 0 0 0 2 2 0 [ [
2 [ s^ [ [ s^ s^ s^ s^

oD ,k]k 0 0 2 0 2 2 0 2 [
[ [ s^ [ s^ s^ s^ s^ s^

oD 7ecr’ 0 0 2 0 2 [ 0 2 [
2 [ s^ [ s^ s^ [ s^ s^

14

@D 9qj’la’gdf0aho8vo0v’dko[;dg]dc]h;7yfw]j0=h8=jwxD

0Ao8vomu ! 0Ao8vomu @ 0Ao8vomu #

2 4! 3 2! 4! 3 2! 4 3

+ + +

1 79 179 179
2 22 422

# [;d _ gmqkj !@ ! [;d $ [;d ( gmqjk !@ ! [;d @ [;d ! gmqjk $
0Po $ .ljs^adsq;Ihvp
0Po @ .ljs^adsq;|j;p 0Po @ .ljs^adsq;ly[

9nj ! ly[ 9nj ! Ihvp

+ 5 6 + 2 3 4 + 6145 + 8 46 2
3 2 4 5 3 3651 53 7
ສະຫງສ.ວວນ.ລິສຂະສິດ
4135 5287 6428
+ + +

5 54 6 4 35 4 2 38 4

6639 7235 8639
+ + +

3473 1475 1283

II. .97;k,D sq;Ihvp sq;ly[ sq;|;j p
{ dko[;dg]dgIqk8hv’0Po + *! (! $
.sh8q;g]dc8j]ts^ad16j4aofP;dao &_
{ gIqk[;ds^adsq;|;j pdvj o9kdoAo @
9b’j [;ds^adsq;ly[F [;ds^adsq;Ihvp ##
c]t s^ad8+MwxD _
8q;1jk’ G *($ T @&_ 15

{ 4hkzqo[;dc8j]ts^adskds^kpd;kj s^n gmqjkda[ !W 8hv’wfh9njD
{ 8q;g]dmu9j nj8hv’[;d.lsj ^ad4afwxX g[Nv’-hkp ?D

III. [qfg/ydsafD
!D 9qj’0Po9eo;ogxao8q;g]d.l8j k8t]k’D

0 00 002 00 2 00 2 02 2
222 222 2[ [ 222 [ [ [

2 [ [ [ [ [ [ [ [ 2 [ [ [ s^ s^

s^ s^ s^ s^ s^ s^ s^ s^ [ [ s^ s^ s^

3423
ສະຫງສ.ວວນ.ລິສຂະສິດ

@D 9qj’0Po[afc]dxjPo.lj8k8t]k’D

6531 7845 7961 8064 9653

0000
0 02
222 2
[[[

s^

16

#D 9q’j 7yfw]cj ]h;0Po8n,j .lj.o .sh4nd8hv’D

2435 + 10 + 20 + 30

+100 + 80 + 40
+ 50

$D 9q’j 7yfw]Dj 5472 6543 7461
+ + +
428
+ 2748 3468 1659
6757
256 5824 +
+ 2464
4683 7675
+ 2378 +
1846
3849 7231 ສະຫງສ.ວວນ.ລິສຂະສິດ
+
6863
+ 5683

3179

&D g9Qk16.j o;q’,qo\kpg]d 12 D 9q’j -vdskglAomk’vvd3fpg]yj,9kd;q’
,qo\kpg]d 12 g0Qkwxsk]Jvd\kpg]d @ g;]kzjko]Jvd.f[;dg]d 0v’

]JvdoAog0Qk8n,j xt8y[af.omeov’fP;

daooUwxg]nhvpM9qozqo[;d0v’g]d8k, 12 2 3 12 7

glAomk’muzj kj owxoAogmqkj 48 D

92 33

{ 9qj’0ufglAomk’gfuomujg9Qkwfhzkj owxD 24 24
5 2 10 2 48

17

[qfmu 5 dko]q[

I. dyf9tdeD
!D 9q’j la’gdfI6[lafc]h;8v[7e4k,]5,j oUD

Cq;dtmy’ v6f d;k’ -hk’

388 kg 271 kg 61 kg 2 082 kg

ly’ \u cIf glnv

71 kg 183 kg 1 108 kg 88 kgສະຫງສ.ວວນ.ລິສຂະສິດ

{ 9q’j -vdsk7kj s^5f]noj ]ts;kj ’oE|ad0v’ Cq;dtmy’ c]t v6fS d;k’ c]t
ly’ S -hk’ c]t cIf S \u c]t glnvD

@D dvj ow0xIu PoF 13j6 I’IPoxt4,q cs’j |’jb ,uxB,vkj o-tofy 8kj ’M &$*W s;q D rkps’^a
g0Qk3I’IPoc]h; oadIPowfh1n,wxvjko @*!) sq;D 4k,;kj xB,vjkopa’gs^nv9adsq;L

#D 9qj’0Po9eo;o8nj,.lj[vj o9Eg,afD

86 . . . . . . ... ... . . . 255

144 244 31444244431 4 44 2 4 44 31444244431 4 44 2 4 44 3144424443

+ 4 + 10 +90 + 10 + 50 + 5 = 169

255 _ 86 = 169

18

II. .97;k,D

grnvj ltf;d.odko]q[g]dgIqkoe.-hg8adoydfaj’]5j,oU G
8q;1kj ’ G 183 _ 88 = 95

88 90 100 180 183

144424443144424443 1 4 44 2 4 44 3 144424443

+2 +10 + 80 +3 = 95

III. [qfg/ydsafD
!D 9qj’8n,j 9eo;omujg\ktlq,.l.j o8k8t]k’]5j,oUD

d 0 d{0 d 0 d{0

52 25 12 10
45 18 14 26
60 14 34 18
100 51 18 42
60 36 15 85
ສະຫງສ.ວວນ.ລິສຂະສິດ
@D 9q’j 0Po8nj,.lj[vj o9Eg,afD

92 100 110 210 230 238

144424443144424443 1 4 44 2 4 44 3 1 4442 4443144424443
+... +... + . . . + . . . + . . . = 146
238 _ 92 = 146

43 50 100 200 220 227

144424443 1 4 442 4 44 3 1 4 44 2+. . . 4 44 3 1 4 4+42. . .444 3144+42.44.4.3

+7 +...

227 _ 43 = . . . . . .

#D ok’ lq,rvo ,ug’yo #W WWW du[D ]k;9t-NglNv|bj’38]k7k !* WWW du[S gdu[
2v’oE|bj’76j]k7k !@ WWW du[S dtgxqk|bj’|j;p]k7k !# &WW du[D 4k,;jk
g’yo0v’]k;[+r=gmqkj .f L

19

[qfmu 6 g8adoyddko]q[

I. dyf9tdeD

!D 9q’j 7yfw]j3fpoe.-hg8adoyd]5,j oUD

dD gvqk8q;8A’]q[F ]q[vvd8q;]q[3fpg]u,j 8Qoc8js^ads^kpl5f wxsks^ad|hvpl5fD
8q;1jk’ G 357 _ 215 = 375 _ 200 _ 10 _ 5 = 142

68 _ 32 316 _ 214

78 _ 36 428 _ 127

99 _ 55 569 _ 427

86 _ 64 646 _ 533

54 _ 42 757 _ 325

0D gIaf.shsq;|;j p0v’8q;8A’]q[ c]t 8q;]q[,u7kj gmqkj daoD ສະຫງສ.ວວນ.ລິສຂະສິດ
8q;1jk’ G 243 _ 35 = ( 243 _ 33 ) _ 2 = 210 _ 2 = 208

65 _ 48 314 _ 216

72 _ 36 224 _ 147

226 _ 117 346 _ 279

125 _ 37 594 _ 347

322 _ 314 655 _ 496

7D gIaf.sh8q;8A’]q[ gxao9eo;o4h;oly[D 532 _ 526
8q;1jk’ G 75 _ 27 = ( 70 _ 27 ) + 5 = 43 + 5 = 48 478 _ 316
488 _ 218
58 _ 23 562 _ 168
72 _ 26 569 _ 116
89 _ 27
69 _ 34
56 _ 26

20

CD gruj, s^n s^5f8q;]q[.shgxao9eo;o4h;oly[D
8q;1jk’ G 275 _ 58 = ( 275 _ 60 ) + 2 = 215 + 2 = 217

73 _ 68 108 _ 91

93 _ 68 379 _ 358

65 _ 59 385 _ 272

363 _ 279 264 _ 103

476 _ 388 416 _ 219

@D 9q’j 7yfw]3j fpoe.-hs^addko]5j,oU G

[;d9eo;ofP;.l8j q;8A’]q[ c]t 8q;]q[

8q;1kj ’ G

_ 7 2 8 +3 _ 7 3 1 +10 _ 741
400
387 +3 390 +10 ສະຫງສ.ວວນ.ລິສຂະສິດ
341
341 341

629 _ 293 976 _ 477
824 _ 378 951 _ 876

II. .97;k,D

.odko]q[g]d,us^kpg8adoydg-ajo G

{ gvqk8q;8A’]q[F ]q[vvd8q;]q[3fpg]uj,8Qoc8js^ads^kpl5fwxsks^ad|hvpl5fD
8q;1jk’ G 57 _ 35 = 57 _ 30 _ 5 = 22

{ gIaf.shsq;|;j p0v’8q;8A’]q[ c]t 8q;]q[gmqjkdaoD
8q;1kj ’ G 82 _ 47 = ( 82 _ 42 ) _ 5 = 35

21

{ gIaf.sh9eo;o]q[gxao9eo;o4h;oly[D
8q;1kj ’ G 95 _ 36 = ( 90 _ 36 ) + 5 = 59

{ gru,j s^n s^5f 8q;]q[.shgxao9eo;o4h;oly[D
8q;1kj ’ G 100 _ 91 = ( 100 _ 90 ) _ 1 = 9

96 _ 88 = ( 96 _ 90 ) + 2 = 8

{ [;d9eo;ofP;.lj8q;8A’]q[ c]t 8q;]q[D

8q;1jk’ G

_ 86 +8 _ 9 4
72 +8 8 0

14 14

ສະຫງສ.ວວນ.ລິສຂະສິດ
III. [qfg/ydsafD
!D 9q’j gvqk8q;8A’]q[F ]q[ vvd8q;]q[ 3fpg]uj,8Qoc8js^ads^kpl5fwxsks^ad|hvpl5fD

88 _ 32 ; 669 _ 226 ; 486 _ 242 ;
564 _ 121 ; 529 _ 137 ; 379 _ 124 .

@D 9q’j 7yfw]3j fpgIaf.shsq;|;j p0v’8q;8A’]q[ c]t 8q;]q[gmqjkdaoD

585 _ 218 ; 353 _ 145 ; 976 _ 475 ;

336 _ 145 ; 715 _ 623 ; 286 _ 144 .

22

#D 9qj’7yfw]j3fpgIaf.sh8q;8A’]q[gxao9eo;o4h;oly[D

99 _ 33 ; 346 _ 245 ; 155 _ 122 ;
715 _ 328 .
592 _ 137 ; 583 _ 218 ;

$D 9q’j 7yfw]3j fpgruj, s^n s^5f8q;]q[.shgxao9eo;o4h;oly[D

156 _ 49 ; 274 _ 68 ; 567 _ 88 ;
398 _ 92 .
456 _ 42 ; 748 _ 11 ;

&D 9qj’7yfw]3j fp[;d9eo;ofP;dao.l8j q;8A’]q[ c]t 8q;]q[D

_7 9 4 _ 546 _ 666

382 374 444ສະຫງສ.ວວນ.ລິສຂະສິດ

*D 9qj’0Po9eo;oc8j ! sk !$ .l.j o;q’,qom5dvao3fp[+.sh-Edao c]t .shzqo[;d
c8j]tc4;gmqkj #W

2

14 6
4 7

12

3

5

23

[qfmu 7 dko76o

I. dyf9tdeD

!D xhk [5o,u gIafrk0;ao[klu .o’ko[5oxu.\j ]k;gvqkdhkorhk;Ihvpfvd9exk

faj’oU G

{ dhkomuj,u !W fvd 9eo;o !$ dhko

{ dhkomu,j u ) fvd 9eo;o !* dhko

{ dhkomuj,u ( fvd 9eo;o @W dhko

{ dhkomuj,u & fvd 9eo;o ) dhko

4k,;jkfvd9exk16.j ork0;ao,uma’\qf9adfvd L

@D 9q’j 7yfw]lj t4kotdko8jk’M mucj dhfh;pdko76o]5,j oU G

• 9q’j -vdsk9eo;o • 9q’j -vdsk9eo;o • 9q’j -vdsk]k7k ສະຫງສ.ວວນ.ລິສຂະສິດ
8kdk3i fvdw,hma’\qf
g0Qk|q,

&WW du[

+

&WW du[

+

&WW du[

+

&WW du[

D D D du[

20 + 20 + 20 + 20 = . . . 6 +. . .+. . .+. . . = 24 4 V . . . = . . . du[
500 V . . . = . . . du[
20 V 4 = 4 V 20 =. . . 4 V . . . = 6 V . . . = 24

#D 9q’j 0Po9eo;o8+wxoU rkp.8hs^kpI6[c[[dko76oD
8q;1jk’ G * V $ = @$F ) V # = @$ s^n !@ V @ = @$
!) S #* S (@ S !WW S !$W D

24

II. .97;k,D
dko76oc,jodko[;d-E9eo;ofP;s^kpgmnvj D
8q;1jk’ G @ T @ T @ = * s^n @ V # = *
9eo;o.f|b’j lk,kf0Porkp.8hs^kpI6[c[[0v’dko76oD
8q;1kj ’ G #* = $ V _ s^n * V * = #*

III. [qfg/ydsafD

!D 9qj’la’gdfg[yj’8q;1kj ’ c]h;0Pozqo76o8+wxoUgxaoI6[c[[dko[;dD
8q;1kj ’ G @ V $ = @ T @ T @ T @ s^n $ T $ D

)V&S _V@S @V@S *V(S #V&S $V&D

@D 9q’j 0Po9eo;o8+wxoUrkp.8hs^kpI6[c[[dko76oD

8q;1jk’ G !@ = * V @ s^n #V$

!& S @W S #@ S $W D ສະຫງສ.ວວນ.ລິສຂະສິດ

#D 9qj’oa[g[y’j 9eo;o8kdk3i.oI6[ 0 c]h;0Pogxaos^kpI6[c[[dko76ofaj’
8q;1jk’ XI6[ d ? G * V !W = * V X $ T * ?= X * V $ ? T X * V * ?

dD 0D

$D 9qj’7yfw]jzqo76o8+wxoU3fp[+.sh8A’[A’g]dD

dD ) V @ S !W V @ S @& V @ S !# V @D
0D ( V $ S !$ V $ S !# V $ S @& V $D
7D * V ) S !W V ) S !@ V ) S @& V )D

25

[qfmu 8 g8adoyddko76o

I. dyf9tdeD

!D 9qj’la’gdf;ymu76og]dc[[8jk’M c]h;0Po8nj,.l[j vj o9Eg,afD
dD #@& V !$ = . . .

#WW @W & 3250
...
!W 3 000 200 50 4550
$ 1 200 ... ...
... ...
4 200

0D #@& V !$ = #@& V X !W T $ ? ສະຫງສ.ວວນ.ລິສຂະສິດ
= X #@& V !W ? T X#@& V $ ?

... ...

...

7D #@& #@& #@&
V !$ V !$ V !$
@W
)W !#WW !#WW
!@WW #@&
&W #@&W DDDD
@WW
#WWW DDDD )W$ V #! S
DDDDD @&)# V !! D

@D 9qj’7yfw]gj ]d76o]5j,oUD

@&@ V !@ S *@( V @$ S
_*# V ## S !&$! V $@ S

26

#D 9q’j la’gdf8q;1jk’c]h;xt8y[af0=h8+wxD
8q;1kj ’G &$ V @ = &$ T &$ = &$ T &W T $ = !W)

117 x 2 = 117 + 117 = 117 + 100 + 17 = 234

113 x 2 ; 154 x 2 ; 47 x 2 ; 84 x 2 ; 126 x 2 .

$D 9q’j la’gdf8q;1kj ’c]h;7yfw]j0=h8+wxD
8q;1jk’ G 28 x 4 = ( 28 x 2) x 2 = 112

172 x 4 ; 75 x 4 ; 212 x 4 ; 67 x 4 ; 135 x 4

II. .97;k,D ສະຫງສ.ວວນ.ລິສຂະສິດ
dko76ogIqklk,kfoe.-hg8adoydfa’j oUD

1. 115 x 12 = 115 x ( 10 + 2 )
= ( 115 x 10 ) + ( 115 x 2 )
= 1150 + 230
= 1380

2. 200 10 5 215 x 10 = 215 215
2 000 1 00 50 215 x 2 = x x

10 10 12 12

2 400 20 430 430

2150 215

2580 2580

#D 1kd76o9eo;o|bj’da[ @ gIqkgvqk9eo;ooAo[;dda[8q;,aogv’D
8q;1jk’ G 112 x 2 = 112 + 112 = 224

27

$D 1kd76o9eo;o|bj’da[ $ gIqk76o9eo;ooAoda[ @ c]h;gvqkzqo76ooAo,k76oda[

@ vudD
8q;1jk’ G 14 x 4 = ( 14 x 2 ) x2 = 56

III. [qfg/ydsafD 5

!D 9q’j 0Po8nj,.lj[jvos;kj ’.o8k8t]k’]5j,oUD
dD 425 x 24

400 20

20
4

0D 617 x 32 ສະຫງສ.ວວນ.ລິສຂະສິດ

@D 9q’j 0Po8n,j .lj[vj o9Eg,af]5j,oUD 0D 752 x 35
dD 423 x 24
752 x (30 + 5 )
423 x (20 + 4 ) ( 752 x 30 ) + ( 752 x 5 )
( 423 x 20 ) + ( 423 x 4 )
... ...
... ...

... ...

28

#D 9qj’8n,j 8q;g]d.lj[vj os;jk’D 47 47
x x
40 7
30 . . . . . . 34 34
4 ... ... ... ...
... ...
$D 9qj’7yfw]gj ]d]5,j oUD ... ...
... ...
x423 x 564 ... ...
22 13
x 782 x 894
32 45

156 684 863 ສະຫງສ.ວວນ.ລິສຂະສິດ975
x x x x

24 31 43 56

&D 9qj’7yfw]jg]d]5,j oUD 252 x 2 ; 168 x 2 ; 232 x 2
78 x 4 ; 156 x 4
170 x 2 ;

250 x 4 ; 122 x 4 ;

*D 8vog-Qk;ao9aooadIPoshv’ x$ 0v’3I’IPoxt4q,csj’|b’j 1no]Poc4;grnvj
g7qk]q[m5’-kfF r;dg0qk1nogxao * c4; c8]j tc4;,u !! 7qo D 4k,;jkoadIPo
shv’ x$ ma’\qf,u9ad7qoL

29

[qfmu 9 dkoc[’j xao

I. dyf9tdeD 87 = ( 4 x . . . ) + 3
!D 9q’j 0Po8nj,.l[j jvo9Eg,afD

95 = ( . . . x 11 ) + 7 ;

72 = ( 14 x . . . ) + 2 ; 112 = ( . . . x 22 ) + 2

@D c,oj 7hkz6h|b’j c[j’\kddhP’ _( |;j p.lj & 4q’D 4k,;jkc8]j t4q’,u9ad|;j p L
gs^nv9ad|;j p L

#D Ihko0kpv5xtdvodkolbdlkcsj’|bj’ 9afl=fe.sh3I’IPocsj’|bj’3fp9af
.ljda[M]t !@ glAoD shv’ x! 8hv’dko *W glAoF shv’ x@ 8hv’dko &W glAoF
shv’ x# 8hv’dko &# glAoF shv’ x$ 8hv’dko #) glAoF shv’ x& 8hv’dko (&
glAoD 4k,;jkIhko0kpg7nvj ’9t8hv’lqj’l=fe.sh3I’IPocs’j oAo9adda[ L
{ 9q’j 7eo;o3fpdko.-hdko[;dF dko]q[F dko76o grnvj cdh[aoskD
ສະຫງສ.ວວນ.ລິສຂະສິດ

II. .97;k,D
lt4kotdkoc[j’xaom5dvao[+c,jodkosko\qfD grnjv.shlt4kotdkoc[j’
xaogxaodkosko9t8hv’.sh G
!D gxaodkoc[’j xaogxaolj;ogmqkj daoD
@D lyj’mujgs^nv9kddkoc[’j xao9t8hv’|hvpd;kj 8q;sko X v5xt76o?D

8q;1jk’ G gIqkc[’j w0jwdj @# |j;p.shoadIPo $ 7qo.shwfhgmqjkdaoD

23 = ( 4 x 5 ) + 3

wfhz6h]t & |j;p c]t gs^nv # |;j pD

30

III. [qfg/ydsafD 151 2
11 75
!D 9qj’la’gdf8q;1jk’c]h;7yfw]0j =h8+wxD 1

151 = ( 75 x 2 ) + 1

180 ' 4 ; 316 ' 5 ; 52 ' 6 ; 144 ' 7 ;
167 ' 13 ; 96 ' 15 ; 73 ' 61 ;
D499 ' 80

@D 9q’j 7yfw]cj ]h;0Po8n,j .lj8k8t]k’]5j,oUD

9eo;o c[’j xao zqoIa[ pa’gs^nv

19 4 ສະຫງສ.ວວນ.ລິສຂະສິດ
24 5
38 6
50 7
57 8
65 9
75 10

#D mhk; mv’lu gvqk\kdoaf !#$ |;j p c[j’gmqjkMdao.ljdt8kj M]t ) |j;pD
4k,;kj ]k;8hv’.-hdt8kj 9ad|j;p L

$D c,j xaog’yo9eo;o @) WWW du[ .sh]6d $ 7qoF 3fpc8]j t7qowfhIa[gmqkj daoF
4k,;jk]6dc8]j t7qowfhIa[g’yozh6]tgmqkj .f L

&D 3I’IPoxt4q,cs’j |b’j ,uoadIPoma’\qf $&# 7qo gruoj c[j’oadIPovvdgxao _
95gmqkj daogrnvj vtokw,3I’IPoD 4k,;jkc8j]t959t,uoadIPo9ad7qo L

31

[qfmu 10 dkosko

I. dyf9tdeD
!D ok’ lyo c]t mhk; lqo wfh-vd;ymucdhg]d39f8+wxoUG

7qo]hP’wdgj da[w0wj fh(& |;j p c]t
wfh9af.ljc8tmu[j ao95w0wj fh !@ |;j pD
9q’j -vd9eo;oc8tmuj7qo]hP’wdjwfh9afw0.j lj
c]t -vd9eo;ow0jmugj s^nv9kdc8tD

dD ok’ lyo g;Qk G 0hvp-vdsk9eo;ogmnjvmuj ສະຫງສ.ວວນ.ລິສຂະສິດ

76oda[ !@ c]h;.shzqo76o.dh7P’da[(&D
- 9q’j gIafdko7yfw]j0v’ ok’ lyoD

0D mhk;lqo g;Qk G 0hvp-vdsk9eo;o7A’

mugj vqk !@ vvd9kd (& D
- 9q’j gIafdko7yfw]j0v’ mhk; lqoD

7D 9q’j xP[mP[lv’dko7yfw]jfa’j dkj ;D
- c8t[ao95w0j,ugmqjk.f L X9eo;ofa’j dkj ;c,oj zqosko0v’ (& .sh !@ ?D
- w0mj ugj s^nv,u9ad|;j p L X9eo;ofa’j dkj ;c,jo8q;glf0v’dkosko0v’ (&

.sh !@?D

@D rtoad’koz6h|bj’9afoEfn,j 9eo;o !@_( d;f.ljcdaf g-y’j c8j]tcdaf[ao95wfh @$
d;fD 4k,;jk9twfh9adcdaf c]t gs^nv9add;f L

II. .97;k,D
gIqklk,kfoe.-hs^kp;ymu grnvj cdhlt4kotdko dkoskoF 8q;1kj ’ G 1kd I6h;jk
.o *&W ,u9adgmjnv @$ gIqkxt8y[affa’j oUG
;ymumu ! G oe.-hdko76oD
@$ V #W = (@W gIqkwfh #W gmnjvF s^kp3rf

32

@$ V @W = $)W gIqkwfh @W gmnvj F |hvp3rf
@$ V @& = *WW gIqkwfh @& gmnjvF |hvp3rf
@$ V @) = *(@ gIqkwfh @) gmnjvF s^kp3rf
@$ V @( = *$) gIqkwfh *&W = X @$ V @( ? T @

;ymumu @ G oe.-h dko76o c]t dko]q[D

_ 650 1 gmnjv @$ ສະຫງສ.ວວນ.ລິສຂະສິດ
24
+
_ 626
48 2 gmnjv @$

_ 578 +
96
4 gmnjv @$
_ 482
+
192
8 gmnvj @$
_ 290
192 +

_ 98 8 gmnvj @$
96
+

4 gmnjv @$

2 27 gmnvj @$ F glf @

III. [qfg/ydsafD

!D 9qj’oe.-h;ymumu ! .o[qfIPo grnjvgIafg]dsko8+wxoU G

728 ' 40 450 ' 32 847 ' 55
2430 ' 21
254 ' 18 780 ' 37

@D 9q’j oe.-h;ymumu @ .o[qfIPo grnjvgIafg]dsko8+wxoU G

1421 ' 81 648 ' 42 127 ' 12
628 ' 42 3750 ' 25 3050 ' 145

#D gfadohvp * 7qo8hv’dkoxaog0Qk|q, () dhvo c8j]t7qo8hv’dko.shwfh9eo;o
g0Qk|q,gmqkj daoD 9q’j -vdsk9eo;og0Qk|q,mujm5d7qowfhIa[7qo]tgmqkj .f L

33

[qfmu 11 dkosko X8+?

I. dyf9tdeD

!D 9qj’7yfw]j c]h;0Po8nj,.lj[jvo9Eg,af.o8k8t]k’mt;u76o]5j,ouhG

x10 x10 x10 x10

25 x 1= 25 250 2500 32 x 1 =32 320 3200
25 x 2 = 50 500 ..... 32 x 2 =64 640 6400
25 x 3 = 75 ..... ..... 32 x 3 =96 ..... .....
25 x 4 = 100 ..... ..... 32 x 4 =128 ..... .....
25 x 5 = 125 ..... ..... 32 x 5 =160 ..... .....
25 x 6 = 150 ..... ..... 32 x 6 =192 ..... .....
25 x 7 = 175 ..... ..... 32 x 7 =224 ..... .....
25 x 8 = 200 ..... ..... 32 x 8 =256 ..... .....
25 x 9 = 225 ..... ..... 32 x 9 =288 ..... .....

@D 9qj’oe.-h8k8t]k’.o0=h ! grnvj gIafg]dsko8=jwxouhG

_2 8 5 2 5 1165 25 884 32 1807 32
5883 25 2184 32 2767 32
250 10 ສະຫງສ.ວວນ.ລິສຂະສິດ

_0 3 5 +

25 1

10 11

I. .97;k,D

grnjv9tsko ($& .sh!* gIqkxt8y[affaj’ouhG { -vdsk9eo;o8q;g]d0v’zqoskoD
16 x 10 < 745 < 16 x 100 zqosko,u
@ V10 x10
8q;g]dD

16 x 1= 16 160 1600 { lhk’8k8t]k’mt;u76o0v’ !* c]h;
16 x 2 = 32 320 3200
16 x 3 = 48 480 4800 8A’g]dsko7nfa’j 8+wxoUG
16 x 4 = 64 640 6400
16 x 5 = 80 800 8000 _ 745 16
16 x 6 = 96 960 9600 40
16 x 7 = 112 1120 11200 640
16 x 8 = 128 1280 12800
16 x 9 = 144 1440 14400 _ 105 +
6
96
9 46

34

III. [qfg/ydsafD

!D 9qj’oe.-h8k8t]k’mt;u76o0v’ && c]t 0v’ _@ grnvj cdhg]d]j5,oU G

x10 x10 x10 x10

55 x 1= 55 550 5500 92 x 1 =92 920 9200
55 x 2 = 110 1100 11000 92 x 2 =184 1840 18400
55 x 3 = 165 1650 16500 92 x 3 =276 2760 27600
55 x 4 = 220 2200 22000 92 x 4 =368 3680 36800
55 x 5 = 275 2750 27500 92 x 5 =460 4600 46000
55 x 6 = 330 3300 33000 92 x 6 =552 5520 55200
55 x 7 = 385 3850 38500 92 x 7 =644 6440 64400
55 x 8 = 440 4400 44000 92 x 8 =736 7360 73600
55 x 9 = 495 4950 49500 92 x 9 =828 8280 82800

999 55 1342 55 898 92 6992 92

ສະຫງສ.ວວນ.ລິສຂະສິດ
3485 55 3590 55 2270 92 4956 92

4772 55 4620 55 5234 92 7892 92

@D ]5’myf-P’0kpw0wj drj ao|;j p]t && du[ c]t wfhg’yoma’|qf !*@ &@& du[D 4k,
;jk]k;0kpw0mj a’|qf9ad|;j p L

#D de,tdvoxjkw,hg0f|bj’ wfhc[j’daogxao _@ 95 grnjvx6dg[hpw,h $!$W g[hpD
4k,;kj c8]j t 959twfhx6dg[hpw,h9adg[hp L

$D oadIPo-aho x # F x$ F x& csj’|bj’ 9eo;o $@@ 7qo wxmafltotlbdlk3fp
,u76oerk !) 7qoD I6h;kj ]qfg,7ao|b’j [aom5dwfh && 7qo g0qkg9qhk9t8hv’wfhg-qjk
]qfg,9ad7ao L

&D 3I’’kocsj’|bj’8hv’dkolqj’lyo7hk !*&* 38o wx.shz6h9e|jkp3fp0qo4hP;
]t !@ 38oD 4k,;jk9t8hv’wfh0qo9ad4hP; L

35

[qfmu 12 [qmdu !;@ f7nozqosko

I. dyf9tdeD

!D 9q’j oe.-hltg\uzqogrnjv0Po8n,j .lj8k8t]k’]5,j oUG

438 = ( 24 x 18 ) + 6 ; 1648 = ( 12 x 137 ) + 4 ;

762 = ( 25 x 30 ) + 12 ; 440 = ( 36 x 12 ) + 8 ;

500 = ( 62 x 8 ) + 4 ; 465 = ( 51 x 9 ) + 6 .

8q;8A’sko 8q;sko zqosko 8q;glf
$#) @$ !) *

ສະຫງສ.ວວນ.ລິສຂະສິດ
@D 9q’j la’gdfltg\uzqo8+wxoUc]h;[vd;kj lt\uzqo.fdq’da[dkoskomujleg]afc]h;

351 = ( 23 x 15 ) + 6 ; 405 = ( 10 x 40 ) + 5 ;

1570 = ( 32 x 49 ) + 2 ; 1766 = ( 12 x 147 ) + 2 ;

762 = ( 25 x 30 ) + 12 ; 5187 = ( 91 x 57 ) + 1 ;

1735 = ( 17 x 100 ) + 35 ; 6231 = ( 30 x 200 ) + 231 ;

8050 = ( 50 x 160 ) + 50 ; 7565 = ( 124 x 60 ) + 125 .

II. .97;k,D
grnjv9tskog]dgIqkxt8y[affa’j oU G 8q;1jk’ G 4732 ' 16

!D -vd9eo;o8q;g]d0v’zqosko G zqoskoc,jo9eo;omuj,u # 8q;g]d

16 x 100 < 4732 < 16 x 1000

@D lhk’8k8t]k’mt;u76o0v’ !*

36

#D 8A’[A’g]dc]h;skoD _ $(#@ !*
@WW gmnjv !* #@WW @_&

_W gmnvj !* _ !&#@ sq;|j;p
!$$W sq;ly[
& gmnjv !*
_ W_@ sq;Ihvp
)W

!@

gIqkwfh $(#@ = X !* V @_& ? T !@ ltg\uzqooUgIaf.shgIqkgsaowfh;kj dkosko
0v’gIqk4nd s^n [+ L 8q;skoc,oj !* S zqoskoc,oj @_& S 8q;glfc,oj !@ S 8q;glf
8hv’|hvpd;jk8q;skog]nhvpMD
III. [qfg/ydsafD

ສະຫງສ.ວວນ.ລິສຂະສິດ
!D 9q’j la’gdfg[yj’ltg\uzqo8+wxoU c]h;[vd;jk 38.fdq’da[dkoskomulj eg]afc]h;D

438 = ( 24 x 18 ) + 6 ; 373 = ( 9 x 40 ) + 13 ;

2736 = ( 27 x 100 ) + 36 ; 7340 = ( 82 x 89 ) + 42 ;

1648 = ( 12 x 137 ) + 4 ; 6013 = ( 30 x 200 ) + 13 ;

8014 = ( 50 x 160 ) + 14 ; 7038 = ( 224 x 30 ) + 318 .

@D 9qj’gIafg]dsko8+wxoU 3fpg]uj,fh;pdko0v[0Ao8q;8A’sko c]t l5fmhkp

.sh0Poltg\uzqo0v’dkosko D

6 483 ' 27 2 630 ' 48 3 728 ' 612
12 024 ' 128
752 ' 26 8 034 ' 53

#D 9q’j 0Po8nj,.lj8k8t]k’8+wxoUG

8q;8A’sko 8q;sko zqosko 8q;glf

72 608 435 37
2 743 85
18 714 56
13 018 120
627 42

[qfmu 13 dko0v[0Aogrnjv-vdsk9eo;o
8q;g]d0v’zqosko
I. dyf9tdeD

!D 9q’j 0Po8n,j .lj[jvos;jk’.o8k8t]k’D ' 10

x10 5 . . . 13 26 . . . 40 . . . . . . 70 75 . . .
. . . 60 130 . . . 380 . . . 520 630 . . . . . . 800

x100 5 . . . 13 26 . . . 40 . . . . . . 70 75 . . . ' 100

. . . 600 1300 . . . 3800 . . . 5200 6300 . . . . . . 8000

5 . . . 13 26 . . . 40 . . . . . . 70 75 . . . ' 1000

x1000

. . . 6000 13000 . . . 38000 . . . 52000 63000 . . . . . . 80000

@D 9qj’la’gdf8q;1jk’c]h;0Po8nj,.lj8k8t]k’D

8q;8A’sko 8q;sko dko0v[0Ao 9eo;o8q;g]d ສະຫງສ.ວວນ.ລິສຂະສິດ
0v’zqosko
$)W @$ 24 x 10 < 480 < 24 x 100
@$$)W @$W @
$!$WW )& DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD DDDDDDDDDDDDDDDDD
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD DDDDDDDDDDDDDDDD

#D 9qj’la’gdf8q;1jk’c]h;7yfw][j A’8+wxD

8q;1kj ’ G 1452 ' 12 638 ' 18 ; 3815 ' 214 ;
386 ' 23 ; 672 ' 24 ;
_1 4 5 2 100 gmnjv !@ 4567 ' 362 ; 765 ' 56 ;
1200 10 gmnjv !@ 987 ' 12 ; 984 ' 44 ;
10 gmnjv !@ 856 ' 14 ; 975 ' 15 .
_0 2 5 2 1 gmnjv !@
120

_ 132
120

_ 012
12

00

38

II. .97;k,D
4hkr;dgIqkskd0v[0Ao8q;8A’sko G !W S !WW S !WWW S D D D

gmnjv8q;skoF gIqk9tI6h9eo;o8q;g]d0v’zqosko c]t 9eo;og]d]q[mugj Iqk9t
wfhgIaf|hvpl5fD

8q;1jk’ G 3996 ' 36

36 x 100 < 3996 < 36 x 1000

zqosko16j.o]ts;kj ’ !WW sk !WWW D fa’j oAo zqosko9b’j c,jo9eo;omu,j u #ສະຫງສ.ວວນ.ລິສຂະສິດ
8q;g]dD gIqk9t8hv’wfhgIafg]d]q[ # [A’G

{ |bj’[A’le]a[8q;g]dsq;IhvpD
{ |bj’[A’le]a[8q;g]dsq;ly[D
{ |bj’[A’le]a[8q;g]dsq;|;j pD

III. [qfg/ydsafD
!D 9qj’0v[0Aozqo76ogrnjv-vdsk9eo;o8q;g]d0v’ zqosko rhv,skog]d]5j,oU

3fpgIafc[[]q[9eo;omt;u76o0v’8q;skoD
12212 ' 11 ; 4732 ' 36 S 488 ' 44 ; 373 ' 30 ; 8814 ' 42 D

@D 9qj’la’gdf8q;1kj ’c]h;oewx.-h.o[A’8+wxD

8q;1kj ’ G 1452 ' 12 638 ' 18 ; 3815 ' 214 ;
38436 ' 23 ; 67238 ' 124 ;
_1 4 5 2 100 gmnvj !@ 45678 ' 362 ;
1200 10 gmnvj !@ 98732 ' 12 ; 47654 ' 56 ;
10 gmnvj !@ 8567 ' 122 ; 4984 ' 44 ;
_0 2 5 2 1 gmnjv !@ 9765 ' 15 .
120

_ 132
120

_ 012
12

0 0 121 gmnvj !@

39

[qfmu 14 dkorq;raodko76o c]t dkosko

I. dyf9tdeD 150 ' 6 = 25
!D 9qj’7yfw]cj ]h;0Po8nj,.lj[jvo9Eg,afD 500 ' 4 = . . . . .
7626 ' 3 = . . . . .
25 x 6 =150 430 ' 10 = . . . . .
125 x 4 =... 1940 ' 20 = . . . . .
2542 x 3 =...
43 x 10 =...

97 x 20 =...

@D 9q’j 7yfw]cj ]h;0Po.l8j k8t]k’]5,j oUD

x4 123456789 '4

4 ' 10ສະຫງສ.ວວນ.ລິສຂະສິດ

x 10
40

II. .97;k,D

grnjvlhk’8k8t]k’0v’dkogxaovaf8klj;orq;raoF gIqkoe.-h75o]adltot

0v’8e]k j 7j o6 d[a j j sn^ 0v’8e]k j sj ko.sh Dj j 8;q 1kj ’ 8k8t]k’dkogxoa vfa 8kl;j o

rq;rao0v’ !*D

+

x2 x3

12 3456 7 8 9
x 16 '16

16 32 48 64 80 96 112 128 144
x 10 '10

160 320 480 640 800 960 1120 1280 1440

x2

+

40

III. [qfg/ydsafD
!D gIqklk,kfoe.-h8k8t]k’mt;u76o0v’ !) grnjv-vdmt;u76ovnjoM0v’ !) D

9q’j la’gdfc]h;0Po8nj,.l[j vj o9Eg,af]5j,oU G

1 x 18 = 18 10 x 18 = 18 0 100 x 18 = 1800
2 x 18 = 36 20 x 18 = 360 200 x 18 = 3600
3 x 18 = 54 ... x ... = ... ... x ... = ...
4 x 18 = 72 ... x ...= ... ... x ... = ...
5 x 18 = 90 ... x ...= ... ... x ... = ...
6 x 18 = 108 ... x ...= ... ... x ... = ...
7 x 18 = 126 ... x ...= ... ... x ... = ...
8 x 18 = 144 ... x ...= ... ... x ... = ...
9 x 18 = 162 ... x ...= ... ... x ... = ...

@D 9qj’0Po8nj,.l8j k8t]k’]5,j oUD ສະຫງສ.ວວນ.ລິສຂະສິດ

5 6 7 8 9 10 11 12
x 8 '8

40
x 20 '20

1920

#D 9qj’skog]d]5j,oUD 1710 95 1472 3

1325 25

2576 56 2898 95 1404 78

1908 36 2650 50 5760 30

41

15[qfmu m;o7nodko[;dF dko]q[F dko76o c]t dkosko

I. dko[;dD
!D 9q’j 0Po8nj,.lj8k8t]k’8k,8q;1jk’]5j,oUD

d 0 7 XdT0? XdT0?T7 X0T7? dTX0T7?

258 7 15 13 15

12 7 13

15 13 7

4 14 24 ສະຫງສ.ວວນ.ລິສຂະສິດ

16 12 36

@D s^a’9kdda[,kc88j ts^kf ok’ 7efu ,ug’yogs^nv @( WWW du[F .og;]k168j ts^kf

]k;wfh9kj p-Ng7vnj ’\qfg’yo &_ WWW du[D 4k,;kj dvj owx8ts^kf]k;,ug’yoma’\qf

gmqkj .f L 816
#D 9qj’d;f7nozqo[;d9eo;o8k,c4;F 8k,4aoF 357

8k,glAogoa’j 9v,0v’I6[9t85]af

0hk’oUd=9twfhzqo[;dvaofP;dao X gmqkj dao ?D 492

$D 9q’j 8nj,9eo;o.lIj 6[9t85]af160j hk’oU

grnvj .shwfhzqo[;d8k,c4;F 8k,4aoF 7

8k,glAogoaj’9v,.shwfhgmqjkdaoD 6 11 4

42

II. dko]q[D @D 9q’j 7yfw]j7;k,s^5f]njo.l.j o
!D 9q’j 8nj,9eo;o.l8j k8t]k’]5,j oU D 8k,mujdeoqf.shD

d 0 7 dT0T7 30 21 14 9

41 26 72

20 12 45

27 29 70

20 30 90

#D 9q’j la’gdfI6[]5,j oUD d=]toumulv’
d=]toumu|bj’

157 cm 143 cmສະຫງສ.ວວນ.ລິສຂະສິດ

152 cm 138 cm

ok’ lu mhk; \vo ok’ lu mhk; \vo

.oc8]j td=]tou 9qj’-vdsk7;k,s^5f]njogxao cm ]ts;jk’];’l6’0v’
ok’ lu c]t mhk; \vo L 7;k,s^5f]njogxaoco;.f L

$D dvj o9twx-Ng7njv’muj8ts^kf ok’ o;olu ,ug’yoma’\qf !@W WWW du[ s^a’9kd
-Ng7nvj ’c]h; ]k;pa’gs^nvg’yo16j $& WWW du[ D 4k,;jk ]k;wfh9kj pg’yoma’
\qfgmqjk.f L

43

III. dko76oD

!D 9qj’la’gdfI6[lujc9lkdmuj,u8kdk3i0hk’0;koUD
dD djvo8afD 9q’j -vd9eo;o8kdk3i

mu,j u.oI6[lujc9lkdrkp.8hI6[c[[
dko76oD
0D s^a’8afD 9qj’-vd9eo;o8kdk3i
mu,j u.oI6[lucj 9lkdmu4j ndc[’j rkp.8h
I6[c[[dko76o;jk,uma’\qfgmqjk.f L

@D 9qj’7yfw]cj ]h;xP[mP[3fp.-hg7njv’\kp = ; = .

( 12 x 7 ) . . . . . . ( 10 x 7 ) + ( 2 x 7 ) ; ( 13 x 9 ) . . . . . . ( 15 _ 2 ) x ( 10 _ 1 ) ;
( 12 x 7 ) . . . . . . ( 10 x 7 ) + ( 2 + 7 ) ; ( 13 x 9 ) . . . . . . ( 10 + 3 ) x ( 10 _ 1 ) ;

( 12 x 7 ) . . . . . . ( 8 x 7 ) + ( 4 x 7 ) ; ( 13 x 9 ) . . . . . . ( 13 x 10 ) +13 .
ສະຫງສ.ວວນ.ລິສຂະສິດ
#D 9q’j -vdskdko0Po.fdq’da[9eo;oI6[mu1j 6jfhko0hk’oUD

3x(4+5) (3x4)+5

2x(4+5)+9 3x9

(4 x 3 ) + ( 5 x 3 )

$D 0hvp-vdsk9eo;ovao|b’j D
{ 0hvp76o9eo;ooAoda[ @
{ 0hvp[;d @& .ljzqomuwj fhIa[
{ 0hvpwfh9eo;o !@&

9q’j -vdsk9eo;omu0j hvp-vdsk;kj c,oj 9eo;o.f L

44

IV. dkoskoD

!D 9q’j la’gdflv’I6[dko7yfw]j8+wxoU G

dD 9qj’la’gdfdko7yfw]Dj 0D 9qj’la’gdfltg\uzqo8+wxoU G

50 = ( 12 x 1 ) + 38 36 = 12 x 3

50 = ( 12 x 2 ) + 26 ltg\uzqooUdq’da[dkosko0v’ #*
50 = ( 12 x 3 ) + 14 .sh !@
50 = ( 12 x 4 ) + 2 zqoskoc,jo # 8q;glfc,jo W
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8q;1jk’ G $@ sko.sh $
42= (4 x 10 ) + 2 zqoskoc,jo !W F 8q;glfc,oj @

&& sko.sh * $& sko.sh & _@ sko.sh _
$* sko.sh ( &) sko.sh ) (& sko.sh !W

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47