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14 180800 186800
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98

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101

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d, I, fd, , f, -, ,,

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130 2 403
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104

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105

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0 1 2 3 4 5 6 7 8 9 10 11 12 13

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106

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10 10
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160 253
253 138
138 149
149

200 200

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1,47

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109

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5 5,1 5,2 5,3 5,4 5,5 5,6 5,7 5,8 5,9 6

gryoj c[’j 1 gxao 1
10
5,5 5,51 5,52 5,53 5,54 5,55 5,56 5,57 5,58 5,59 5,6 100

5,55 5,551 5,552 5,553 5,554 5,555 5,556 5,557 5,558 5,559 5,56 1 gxao 1
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{ 9q’j ]vdc[[I6[c[ !F @F # c]h;lhk’gxaoI6[dhvos^kp|hk

II. .97;k,D
dkolhk’I6[.odk’sk;7;olhk’gxaoI6[c[djvo c]h;]vdc[[F c8h,F
9kdoAo8af c]t xtdv[gxaoI6[dhvos^kp|hkD

114

ສະຫງສ.ວວນ.ລິສຂະສິດIII. [qfg/udsafD
!D 9q’j ]vdc[[I6[c[]5,j oU.ljg9hpc0’D 9kdoAo .sh8afc]h;xtdv[.shgxaoI6[
dhvos^kp|hkD

115

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I. dyf9tdeD 7
!D 9q’j g]nvd-njI6[c]h;0Po.ldj hv’c8j]tI6[.sh4nd8hv’D

d0

DDDDDDDDD DDDDDDDDD DDDDDDDDD
C 9 l

DDDDDDDD DDDDDDDD DDDDDDDDDສະຫງສ.ວວນ.ລິສຂະສິດ

{ I6[9;pS I6[|j;p,qoS I6[m+S I6[mkf]Pj ,S I6[dhvolkdS I6[da[lkd

@D 9q’j 0Po9eo;o|hkF ]jP,F 9v,0v’I6[]5,j oU.l[j vj o9Eg,afD

I6[mkf]Pj , I6[m+lk,]jP,

,u D D D D D D D D D D D D|hk ,u D D D D D D D D D D D D|hk
,u D D D D D D D D D D D D9v, ,u D D D D D D D D D D D D9v,
,u D D D D D D D D D D D D]Pj , ,u D D D D D D D D D D D D]Pj ,

116

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,u D D D D D D D D D D D D]jP, ,u D D D D D D D D D D D D]jP,

#D 9q’j la’gdfg[yj’I6[dhvos^kp|hk]5j,ouhc]h;0Po8bj,.l8j k8t]k’

d0 ສະຫງສ.ວວນ.ລິສຂະສິດ 7

c8]j t|hkgxaoI6[
I6[ 9eo;o|hk

9t85]af lujc9lkd lk,c9mPj ’

dD

0D

7D

117

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dD 0D

DDDDDDDDDD DDDDDDDDDD

&D 9q’j [vdI6[c[mujlk,kfxtdv[.shgxaoI6[dhvolkdwfhD #D
!D @D

$D &D *D ສະຫງສ.ວວນ.ລິສຂະສິດ

*D 9q’j 8afI6[lk,c9ltg\umu,j u0hk’pk; dD
!W cm grnjvlhk’gxaoI6[ Xd?D 4k,;kj
9t.-hI6[lk,c9ltg\u9advao9bj’9tr= L

118

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I6[dhvolkdlhk’fh;pI6[9t85]af * I6[gmqkj daoD I6[dhvo ) |hklhk’fh;p

I6[ lk,c9ltg\u ) I6[gmqkj dao

I6[da[lkdlhk’fh;pI6[lucj 9lkd * I6[g-yj’c8j
]tI6[16gj -yj’|hk
daogmqkj daoD

III. [qfg/udsafD
!D 9q’j c8h,I6[]5,j oU.lxj nh,0PoD

I6[da[lkd I6[mkf]Pj , ສະຫງສ.ວວນ.ລິສຂະສິດI6[m+dq,

@D 9q’j ]vdc[[I6[]5,j oUc]h;8af c]t xtdv[gxaoI6[dhvos^kp|hkF
dD 0D

7D

119

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V #F&

dtx6 dq[
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V &F)

g8qkj mtg]

@D ]5’ 7e ,uoE|adgmqjk\kdvb @W |j;pF \kdsj5’ #W |j;p c]t \kd
dhP’ohvp !@ |j;pF I6h;jk\kddhP’ohvp|j;p|bj’|adxt,ko WF!@& kgF
glAozkj o.9dk’cmdwfh WFW( mD \kds5j’|;j p|b’j |adgmqjk\kddhP’ohvp !W
|j;pF \kdvb|j;p|b’j |adgmqjk\kddhP’ohvp !& |j;pD
4k,;jk ]5’ 7e ,uoE|adgmqjk\kddhP’ohvp9ad|j;p L gxao9addy3]dik, L
4hkgvqk\kddhP’ohvpma’\qf mujgmqjkda[oE|ad ]5’ 7e ,k]Po8+dao9tpk;
9adc,af L

120

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8k8t]k’dkoxjPosq;|;j p;afcmdmugj Iqkg7up.-h

sq;rao s;q Ivh p sq;ly[ sq;|j;p l;j oly[ lj;oIhvp lj;orao

1000 100 10 1 1 s^n 0,1 1 s^n 0,01 1 s^n 0,001
10 100 1000

8k8t]k’;afcmd];’pk; 8k8t]k’;afcmd,;olko

d, I, fd, , f, -, ,, dd Id fdd d fd -d ,d

km hm dam m dm cm mm kg hg dag g dg cg mg

1 km = 1000 m 1 1 kg = 1000 g 1 g
1000 1 mg = 0,001 g = 1000
1 mm = 0,001 m = m ສະຫງສ.ວວນ.ລິສຂະສິດ

II. [qfg/udsafD

!D 9qj’xjPosq;|j;p;afcmd]5j,ouhS 4,641 kg = ............. g
6,53 kg = .............. g
3,582 km = ............ m 325 g = .............. mg
675 g = ............... hg
1,25 m = ............. dm 5246 g = .............. kg

2 m 51 cm = ............. cm

20 m = ............. cm

215 cm = ............. mm

@D 7v[7;q 0v’ mkh ; l;5 oa mv’ rkdoa wxcmd];’l’6 c]t -’aj oE|da 1l6j d5 lk]k[kh oF
c8j]t7qo,uoE|ad c]t ];’l6’faj’oUG r+l6’ !F*$ m c]t |ad (WF& kg S c,j
8ej d;jkr+ WFW) m c]t |ads^5fr+ !F) kg S mhk; l5;aomv’ 8jed;kj r+ WF@_ m
c]t |ads^5fr+ @_F_ kg S ok’ 8yd 8jed;kj r+ WF$$ m c]t |ads^5fr+ #$ kg
4k,;jkc,j c]t ]6dc8]j t7qo,uoE|ad c]t ];’l6’gmqkj .f L

121

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I. dyf9tdeD
!D 9qj’cmd];’pk;0v’38 c]t sk’|6F c]h;[vd-nj |6c8j]t383fpvu’.lj

8k8t]k’D

ສະຫງສ.ວວນ.ລິສຂະສິດ
-nj ];’pk;0v’38 ];’pk;0v’sk’
|6-y’ # cm &mm sk $ cm $mm # cm (mm sk # cm _mm
|6gInvo # cm !mm sk # cm $mm
$ cm sk $ cm $
|60u !W @ cm @mm sk @ cm *mm

|6ok $ cm &mm sk $ cm ) & cm !mm sk & cm $mm
!W

& cm sk &cm #mm

@S 9q’j la’gdfc]h;0Po8nj,.l.j o

dD 3,1 cm 6,2 cm 9,3cm

0D 4,3 cm 12,9 cm 17,2 cm

122

#D 9q’j 0Po9eo;o.o8k8t]k’]5j,oU

sq;Ihvp sq;ly[ sq;|;j p 1 11
10 100 1000
56 2 3 1 = 56, 231
135 4
764 8 =.......
831 2 1 =.......
596 4 5 5 =.......
678 3 7 2 =.......
4 =.......

$D 9qj’0Po9eo;o]5j,oUgxao9eo;omqfltoypq,Xgvqk m gxaosq;|j;p?

3m 5 dm ; 1m 138 mm ; 7 cm 6 mm ; 6m 8 dm ;

3 m 15 cm ; 9dm 8 mm ; 4m 67 cm ; 5m 5 mm ;
ສະຫງສ.ວວນ.ລິສຂະສິດ
6m 42 cm ; 7 dm 4 cm .

&D 9qj’xP[mP[9eo;omqfltoypq,c8]j t76j]5,j oU 3fp.-hg7nvj ’\kp X < ; > ; = ?

1,9 kg . . . . . . . . 1,90 kg 15,6 kg . . . . . . . . . 16,5 kg
6,4 m . . . . . . . . 5,8 m 20,10 m . . . . . . . . . 20,1 m
90,9 * . . . . . . . . 90,1 L 0,75 L . . . . . . . . . 7,5 L
5,3 L . . . . . . . . 8,3 L 28,4 m . . . . . . . . . 28,1 m
6,50m . . . . . . . . 6,7 m 0,01 kg . . . . . . . . . 0,010 kg

II. .97;k, D
9eo;omqfltoypq,];,,u @ rkdlj;o7n rkdl;j o4h;o c]t rkdl;j o
mqfltoypq,D 4hkoa[c8-j hkpsk0;kF 9eo;omu1j 6jmk’|hk\kp95fc,jo
rkdl;j o4h;oF 9eo;omuj16mj k’s^a’\kp95fc,oj rkdlj;omqfltoypq,D

123

8q;1kj ’ G 3, 105

rkdlj;o4h;o rkdl;j omqfltoypq,

1mm= 1 cm = 0, 1cm
10

l=fepk; !! cm & mm
s^n
s^n !! cm 5
10
!!F & cm

II. [qfg/udsafD ສະຫງສ.ວວນ.ລິສຂະສິດ
!D 9q’j 7yfw]j c]h;0Po8n,j .l[j vj o9Eg,af

dD 4 cm + 3 mm = ................................................cm

0D 5 cm 6 = ................................................cm
10

7D (3 # 1 cm) + 5cm = ................................................cm
10

CD (5 # 2 cm) = ..... cm = ................................................cm
10 10

@D dko0tspkp8q;0v’I;dD

vkmyfmu # vkmyfmu * vkmyfmu )

vkmyfmu !$ vkmyfmu !@

124

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# vkmyf WF( cm !F! cm
* vkmyf !F$ cm @F! cm
) vkmyf !F& cm @F! cm
!@ vkmyf !F* cm !F_ cm
!$ vkmyf !F( cm WF@ cm

dD 38I;dpk;vvdgmqjk.f9kdvkmyfmu # skvkmyfmu ) L
9kdvkmyfmu * skvkmyfmu !$ L
0D sk’0v’I;dpk;vvdgmqjk.f 9kdvkmyfmu # skvkmyfmu ) L
7D c,jow]pt9kdvkmyfmugmqjk.f skvkmyfmugmqjk.f muIj ;d0tspkp8q;w; L

#D 9q’j la’gdfc]h;0Po8n,j .lj.o ສະຫງສ.ວວນ.ລິສຂະສິດ

dD 1,2 cm 1,2 cm 3,6 cm

0D 3,5 cm 10,5 cm 14 cm

$D 9qj’xPj osq;|j;p]5,j oU.shgxao9eo;omqfltoypq,D

5 mm = cm 12 hm = km
hm
81cm = dm 1,45 km = dam
cm
107 dm = m 28,56 hm = cm

526 m = dam 5,74 dm =

6499 dam = hm 82,1 mm =

&D 9qj’0Po9eo;omqfltoypq,.shwfh !W 9eo;oD
*D gsa^d];fglAo|b’j pk; !#(&W cm. 4k,;jkgs^ad];fglAooAopk;9adc,af(m ) L

125

46[qfmu I6[c[[8kj ’M.odko0Po9eo;omqfltoypq,

I. dyf9tdeD
!D 9q’j la’gdfc]h;0uf8=jI6[c[[dko0Pomulj tcf’g4y’9eo;ofP;dao.ldj ao

cxfraog9afIhvpshkly[95fl6oshksqd 0,105

l6o95f|bj’l6oshk ( 4 x 10 ) + 1 + ( 9 x 0,1 ) + ( 3x 0,01 ) + ( 7x 0,001 )

56 93 7

8 000 + 700 + 50 + + 40 + 1 + + +
10 100 1 000
100 1000

9000 + 300 + 10 + 6 + 75
+
lulj y[gvaf95fgdQklk,g9af
10 1000
ສະຫງສ.ວວນ.ລິສຂະສິດ
41,937 gdQkraolk,Ihvply[sqd95fg9afl6oshk ( 10 x 0,01 ) + ( 5 x 0,001 )

(9 x 1000) + (3 x 100) + (1x 10) + 6 + (7 x 0,1) + (5 x 0,001) 15 8750,056
+

10 1 000

( 8 x 1 000 ) + ( 7 x 100 ) + ( 5 x 10 ) + ( 5 x 0,01 ) + ( 6 x 0,001 )

@D 9q’j 0Po9eo;o]5j,ouh.oI6[c[[dt9kp0v’dko[;d

8q;1jk’ G 95,153 = 90 + 5 + 0,1 + 0,05 + 0,003

86,3 = .............. 27,56 = ............... 5,92 =....................

5,78 = .............. 43,24 =................ 70,9 = ...................

8,01 = .............. 6,15 = ................ 64,21 = .................

126

#D 9q’j 0Po9eo;o]5j,oU.oI6[c[[dt9kp0v’dko76oD

8q;1jk’ G

8750,056 = (8 x 1000) + (7 x 100) + (5 x10) +( 5 x 0,01 )+ ( 6 x 0, 001)

0,105 = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

95,06 = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

27,216 =. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

311,01 = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

52,07 = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

$D 9q’j 0Po9eo;omqfltoypq,]5,j oUgxao7evjkoD

8q;1kj ’G $!F_#( = lujly[gvaf95fgdqhklk,g9af

801,05 = .......................................

92,281 =........................................

101,21 = ....................................... ສະຫງສ.ວວນ.ລິສຂະສິດ

30,01 = ......................................

341,002 = ......................................

&D 9q’j 0Po9eo;o]5j,oUgxao8q;g]dD
8q;1kj ’ G shkIhvpg9afly[lv’95f|bj’l6ogdQk &(@F!W_
sqdIhvp-k;shk95flk,g9af S gdQkly[lv’95fsqdcxf S
lujIhvply[g9af95f|b’j l6ocxf S shkly[sqd95flv’gdqhkluj S
cxfly[shk95flk,IhvpsqdgdQk S gdQkly[lk,95fcxfIhvpsqdg9afD

*D 9qj’0Po9eo;omqfltoypq,8=wj xoUgxaog]dlj;oD

8q;1jk’ G 7, 12 = 712
100

0,3 ; 3,5 ; 8,4 ; 9,5 ; 1,6 ;
25,1 ; 50,2 ; 72,3 ; 2,39 ; 0,002 .

127

II. .97;k,D
gIqklk,kf0Po9eo;omqfltoypq,rkp.8hs^kpI6[c[[D

8q;1jk’G

sq;Ihvp sq;ly[ sq;|j;p l;j oly[ l;j oIhvp lj;orao

2 17 45 3

217 + 0,453 = 217 + 4 + 5 + 3
10 100 1000

= ( 2 x 100 ) + ( 1 x 10 ) + 7 + ( 4 x 0,1 ) + ( 5 x 0,01 ) + ( 3 x 0,001 )

= 217 + ( 4 x 1 ) + ( 5 x 1 ) + ( 3 x 1 )

10 100 1000

= 217,453 ສະຫງສ.ວວນ.ລິສຂະສິດ

= lv’Ihvply[g9af95flusj hklk,

III. [qfg/udsafD 41 + 0, 3 + 0, 07=.................
!D 9q’j 0Po9eo;o8nj,.lj[jvo9Eg,afD
8q;1jk’G 3 + 0, 2 + 0, 03 = 3, 23 8 + 3 + 2 =......................
10 100
8 + 0, 03 + 0, 007 =........
451 + 0, 4 + 0, 07=..............
51 + 0, 1 + 0, 07 =...........
315 + ^4 # 0, 5h =............. 39 + 0, 1 + 0, 09 =...............
98 + 0, 4 + 0, 08 =...........
12 + 3 + 2 =.....................
112 + 0, 1 + 0, 01 =......... 10 100

128

@D 9q’j 0uf8+I6[c[[dko0Pomulj tcf’g4y’9eo;ofP;daoD

5 x 1000 + 4 x 100 + (1 x 10 ) + 5 + ( 7 x 0,01 ) + ( 6 x 0,001 ) shkraoljuIhvply[shk95fl6og9afsqd

61 3

7000 + 300 + 60 + 4 + + + 0,542
10 100 1 000

5415,076 g9afraolk,Ihvpsqdly[lu9j 5fsqd|bj’lk,
l6o95fshklulj v’
76

5000 + 400 + 10 + 5 + +

100 1000

7 x 1000 + 3 x 100 + 6 x 10 + 4 + ( 6x 0,1 ) + ( 1 x 0,01 ) + ( 3 x 0,001 )

7364,613 54 2
++

10 100 1000

ສະຫງສ.ວວນ.ລິສຂະສິດ
#D 9qj’0Po9eo;o]5,j oUgxao8q;g]dD
lk,95fl6oshk DDDDDDDDDDDDDDDDDDDDDDDDD S shkly[95flk,ly[gdqhk DDDDDDDDDDDDDDDDDDDS
cxfly[luj95fg9afly[lv’ DDDDDDDDDD S sqd95f-k;cxf DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDS
lujIhvpsqdly[lv’95f|bj’Ihvp-k;gvaf DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD D

$D 9q’j 0Po9eo;o]5j,oUgxao7evkj oD 48,214 = ....................... S
2,38 = .................... S 67,432 = ....................... S
6,29 = .................... S
34,57 = ................... S 125,50 = ...................... .

&D 9qj’0Po9eo;o]5,j oU.oI6[c[[dt9kp0v’dko[;dD
8q;1kj ’ G 3,25 = 3 + 0,2 + 0,05
6,18 = ................... S 8,37 = ...................... S 12,34 =.....................S
27,46 = ................. S 51,27 = .................... .

129

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I. dyf9tdeD
!D 9q’j la’gdf8q;1kj ’c]h;0Po9eo;omqfltoypq,]5j,oU.oI6[c[[dt9kpD

74,319

( 16j.os^ad $ 16.j o # 16j.os^ad ! 16j.os^ad _ 16j.os^ad
ly[,u s^ad|;j p l;j oly[ lj;oIhvp l;j orao
7jk (W ,u7kj $ ,u7kj WF# ,u7kj WFW! ,u7jk WFWW_

{ fa’j oAo 0Po ($F #!_ .oI6[dt9kpwfhfaj’oU G ສະຫງສ.ວວນ.ລິສຂະສິດ95,153 S

74,319 = 70 + 4 + 0,3 + 0,01 + 0,009 81,701 .

86,3 S 65,19 S 7,532 S 3,256 S
487,381 S 54,21 S 78,351 S 96,765 S

@D 9q’j [;dg]d]5,j oU G

6,3 13,2 61,75 52,35 78,14
+ + + + +

3,7 6,4 6,21 7,83 6,95

57 + 33,09 = .................. 381 + 71, 68 = ...................
48,11 + 35,89 = ................. 105,2 + 55,84 = ...................
132,60 + 28 = ................. 774 + 0,07 = ...................

130

II. .97;k,D

dko[;d9eo;omqfltoypq,8hv’xt8y[affaj’oU G
i 8ah’g]d.shg7njv’\kp95fg-yj’g7nvj ’\kp95f c]t 8q;g]ds^ad.f.shg-y’j

8q;g]ds^adoAoD
i dko[;d.shxt8y[af7ndaoda[dko[;d9eo;o4h;oD
i .l\j kp95f.ozqo[;d.sh-ndj ao]q’,kD

III. [qfg/udsafD
!D 9qj’[;dg]d]5j,oU G

27,3 35,05 42,45 79,43 38,54
+ + + + +

4,1 4,31 38,24 6,12 21,3

DDDD DDDD DDDD DDDD DDDD
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@D .odkoc0’j 0aocd;’j oE|ad mhk; 7eI5j’ cd;’j wfhwd !#F$& c,afF mhk; 9aomu
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c,af L

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gmy’38t sq;0v’oadIPo7qooUl6’9kdrnho9adc,af L

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pkj ’8+9oq g4’y 3I’IPovdu WF#& d3y ]c,fa ];,w]ptmk’9kd[kh o0v’mkh ; cd;h
g4y’3I’IPo,u9addy3]c,af L

131

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8q;1jk’ G mjvo-njpk; #F( 8afvvd @F$

3,7

6 4 4 4 4 4 44 7 4 4 4 4 4 44 8

1 4 4 4 4 44 2 4 4 4 4 44 31 4 4 4 4 44 2 4 4 4 4 44 3 144444424444443

8afvvd @ pa’gs^nv !F # 8afvvd WF$

3, 7 _ 2,4 = 1,3

dD mvj o-npj k; !WF& 8afvvd $F@ ສະຫງສ.ວວນ.ລິສຂະສິດ
0D mvj o-njpk; (F( 8afvvd #F#
7D mjvo-npj k; &F) 8afvvd @F*

@D 9qj’]q[g]d8=jwxoU G

_ 481,3 _ 134,27 _ 123,46 _ 354,68 _ 24,212

150,1 46,95 31,23 34,25 6,8

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

II. .97;k,D

dko]q[9eo;omqfltoypq,8hv’xt8y[affaj’oU G

!D 8A’g]d.shg7njv’\kp95fg-yj’g7njv’\kp95f c]t 8q;g]ds^ad.f.shg-yj’8q;g]d

s^adoAoD

@D dko]q[.shxt8y[af7nda[dko]q[9eo;o4h;oD

#D .l9j 5f.ozqo]q[.sh-njdao]q’,kD

132

sq;Ihvp sq;ly[ sq;|;j p |b’j lj;oly[ |bj’lj;oIhvp
_5
6 7, 2 5

4 1 5, 3 2

1 5 1, 9 3

III. [qfg/udsafD

!D 9q’j lhk’mjvo-nmj u,j u];’pk;8k,deoqf.sh c]h;8afvvd8k,mudj eoqfD

dD mvj o-njpk; )F* 8afvvd &F!

0D mvj o-njpk; !WF# 8afvvd *F@

7D mvj o-njpk; !@F& 8afvvd !WF$

@D 9qj’]q[g]d8=jwxoUD

_ 6, 34 _ 7, 71 _ 5, 94 _ 3, 61 _ 42, 64
2, 16 2, 46 3, 47 2, 47 24, 35

#D 9q’j 8A’[ha’g]dc]h;7yfw]jD ສະຫງສ.ວວນ.ລິສຂະສິດ

4,37 - 2,58 = 8,25 - 9,36 = 7,64 - 5,24 =
34,56 - 32,18 =
75,7 - 24,9 = 68,7 - 21,9 =

$D 9q’j 0Po8q;g]d8nj,.lj.o ]5j,oUD

_ 4, 7 _ 3, 7 _ 8, 6 _ 9, 4
5, 3 8 3, 6
2, 8 2, 6

22 1, 2 5 3, 9 ,28

&D g,njvmhk;7elvovkp5wfh * xu ]k;,uoE|ad @$F( kg c]t ,u];’l6’ !F!( mF
g,nvj vkp50v’]k;wfh !W xu ]k;-aj’wfh #)F@ kg c]t cmd];’l6’wfh !F$@ m

i 9q’j 7yfw]vj af8kgruj,0Bo0v’oE|ad

c]t ];’l6’0v’]k; .o]ts;j k’

* xusk !W xu

133

49[qfmu dko76o9eo;omqfltoypq,da[9eo;o4h;o

I. dyf9tdeD

!D 9q’j la’gdfg[yj’8q;1kj ’c]h;7yfw]j0=h8+wx D

8q;1kj ’G 4 x 3,8 = 3,8 + 3,8 + 3,8 + 3,8 = 15,2

6 x 2,7 = 3 x 4,25 =

7 x 5,5 = 4 x 8,5 =

5 x 7,8 = 8 x 6,4 =

@D 9qj’7yfw]jc]h;0Po8n,j .l8j k8t]k’]5,j oU D

x 10 100 1000 x 10 100 1000
1,5 150 2,31
3,45 3450 4,6 ສະຫງສ.ວວນ.ລິສຂະສິດ
5,12 8,42
63,4 85,3
70,2 93,81

II. .97;k,D
dko76o9eo;omqfltoypq,da[9eo;o4h;od=xt8y[af7ndaoda[ dko76o9eo;o

4h;oda[9eo;o4h;o c]h;9yj’\kp95f.ljzqo76o3fp.sh9eo;o8q;g]d16js^a’95f0v’
zqo76ogmqkj da[9eo;o8q;g]d16js^a’95f0v’9eo;omqfltoypq,mujgvqk,k76oD

8q;1kj ’ G

1,5 x 7 = 1,5 + 1,5 + 1,5 + 1,5 + 1,5 + 1,5 + 1,5 = 10,5

s^n 1, 5
x7

10, 5

134

III. [qfg/udsafD lD 2,121 x 3 = ...............
!D 9q’j 7yfw]gj ]d8=jwxoUG -D 4,053 x 4 = ...............
pD 5,215 x 5 = ..............
dD 2,64 x 3 = .......... 9D 7,502 x 6 = ..............
0D 3,42 x 5 = ............ 8D 8,476 x 7 = ...............
7D 5,25 x 6 = ...........
CD 6,51 x 7 = ...........
9D 9,73 x 8 = ............

@D 9qj’7yfw]cj ]h;0Po8nj,.lj8k8t]k’]5j,oUD

x 10 23 x 10 102 3
2,76 10 10 6,14 10
31,4 15,3
8,25 9,125 ສະຫງສ.ວວນ.ລິສຂະສິດ
91,6 27,42
6,232 84,37

X @ = !W V !W = !WW c]t # = !W V !W V!W = !WWW ?

!W !W

#D ]5’ 7e,u -nhoEfjn,[=]yl5f grnvj ,k1kp.shc0dfn,j .o’koz6dc0oxu.\jmugj Invo
0v’]k; 9eo;o @ cdaf Xcdaf|bj’,u #W cdh;? I6h;jkoEfn,j cdh;|b’j [ao95oE
WF& ]yfD 4k,;kj oEfn,j ma’\qf,u9ad]yf L

$D xhk 7e9ao -nhxk @F$ kg, dy3]dik,]t !& WWW du[D 4k,;jk]k;8hv’
9jkpg’yo7kj xkma’\qfgmqjk.f L

135

[qfmu 50 m;o7nodjP;da[9eo;omqfltoypq,

I. dyf9tdeD

!D 9q’j la’gdfI6[dko0Poltg\uzqo]5,j oUc]h;7yfw][j A’8+wxD

8q;1jk’G 342 = 34 + 2 = 34, 2
10 10

625 = 6 + 2 + 5 = 6, 25
100 10 100

82648 = 82 + 6 + 4 + 8 = 82, 648
1000 10 100 1000

54 =................; 642 =......................; 758 =...................;
10 10 10

1251 =................; 9872 =......................; 6544 =...................;
100 100 100

82643 =................; 96482 =......................; 75637ສະຫງສ.ວວນ.ລິສຂະສິດ=...................;
1000 1000 1000

@D 9q’j 0Po.l[j vj o9Eg,afD

100 10 1 1 11
10 100 1000

sq;Ihvp sq;ly[ sq;|;j p |b’j lj;oly[ |’bj l;j oIhvp |b’j l;j orao

42 3 = 42,3

52 6 =.......

46 5 7 8 =.......

9 0 5 3 =.......

136

#D 9qj’0Po9eo;o]5,j oUgxao8q;g]dD

8q;1kj ’ G

g9afly[lv’95fcxf = 72,8

gdQkly[lk,95fg9afly[luj = ......
......
gdQkIhvpsqdly[lu9j 5flk,ly[g9af = ......
......
sqdIhvplk,ly[lv’95fsqdIhvplk,ly[gvaf= ......

g9afIhvp-k;cxf95fgdQkly[sqd =

lv’raosqdIhvpluj95fg9afIhvpshkly[luj =

$D 9qj’0Po9eo;o]5,j oUgxao7evkj oD ສະຫງສ.ວວນ.ລິສຂະສິດ

41,74 = . . . . . . 5
53,92 = . . . . . .
541,36 = . . . . . .
375,743 = . . . . . .
604,856 = . . . . . .

&D 9q’j 0Po9eo;o8n,j .lj.o

4
4,2

6,20 6,30
6,22

II. [qfg/ydsafD
!D 9qj’9af]Po9eo;o8+wxoUc8|j hvpsks^kp D

4,5 ; 3,2 ; 11 ; 5 ; 7,3 ; 1,2 ; 8,4 ; 6,9 ; 10,4 ; 9 ; 2 .

137

@D 9qj’[vd9eo;omuj|hvpd;j k\6.j oc8j]t0=h8+wxoUD
dD 5,8 ; 7,2 ; 6,2 ; 5,2 ; 4,1 7D 5,4 ; 6,2 ; 7,5 ; 5,5 ; 6,3

0D 9,3 ; 9,1 ; 9,6 ; 9,5 ; 9,9 CD 8,2 ; 7,9 ; 8,1 ; 7,9 ; 8,7

#D 9qj’0Po9eo;o.lj.o .sh4nd8hv’D

3 4 4,2 5

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

$D 9qj’0Po.lj[jvo9Eg,afD

sq;Ihvp sq;ly[ sq;|;j p |b’j lj;o |bj’lj;o |bj’lj;o = 76,38ສະຫງສ.ວວນ.ລິສຂະສິດ
rao =.......
ly[ Ihvp =.......
1 =.......
76 3 8 7 =.......
38 2 5 5
10 5 6
62 4 1 3
59 1 2 0

&D 9qj’0Po9eo;o.l8j k8t]k’D sq;ly[ sq;|;j p |bj’lj;o |bj’lj;o |bj’lj;o

12,735 ly[ Ihvp rao
0,304
(3 x 10)+(5 x 0,01)+( 6x 0,001) 12 7 3 5

sqdIhvplk,l;j orao
g9af95fl6oshk|b’j

138

*D 9q’j la’gdf];’l6’0v’c8]j t7qo c]h;8v[7e4k,D

1m 25 m 8m 10 100 1m 24 cm
100 1m 18 m
9
c]t 100
1m 4 c]t 5 m

10 100

ok’ 7efuD mhk; cdh;D mhk; 7eD ok’ lq,luD ok’ \voD

dD 9q’j [vd];’l6’0v’c8]j t7qogxao cm.

0D 9qj’[vd7qomujl6’d;kj \6j c]t 7qomuj8+kd;jk\6Dj

7D 9qj’7yfw]j7;k,]5f]njo]ts;jk’7qomu8j +kl5fda[7qomujl6’l5fD

(D 9qj’0Po9eo;o8nj,.lj[jvo9Eg,afD

10 x 0,01 = . . . . . . 10 x 0,001 = . . . . . . 0,001 x 100 = . . . . .
1217 x 10 = . . . . . . 1217 ' 100 = . . . . . .
0,017 x 10 = . . . . . . 0,017 x 1000 = . . . . . . 1217 ' 1000 = . . . . .
12,17 x 10 = . . . . . . 17 ' 10 = . . . . . . 17 ' 100 = . . . . .
0,1 ' 10 = . . . . .
ສະຫງສ.ວວນ.ລິສຂະສິດ
)D 9qj’]vdc[[8k8t]k’oU7noc]h;8n,j .lj8k,8q;1kj ’D

sq;Ihvp sq;ly[ sq;|j;p 1 1 1 9eo;o g]dlj;o
10
3 100 1000 mqfltoypq, mqfltoypq,
5
8 3,5 3 + 5
12 2 10
4
7 0 5
8 0
0 3 56
0 0
0 0 6
18 2
32 2 05

5
08
0
00

139

[qfmu 51 ];’Iv[

I. dyf9tdeD gxaosq;|;j pgrnvj ;afcmd];’Iv[0v’I6[]5,j oUc]h;8v[
! 9q’j oe.-h0hk’0v’

7e4k,D

I6[ d I6[ 0

I6[ 7 ສະຫງສ.ວວນ.ລິສຂະສິດ
I6[ 9

I6[ C

{ c8j]t0hk’0v’c8]j tI6[,u9ad8k X sq;|;j p ? L
{ zqo[;dma’\qfm5d0hk’0v’c8]j tI6[,u9ad8k X sq;|;j p ? L
@D 9qj’-vdsk];’Iv[0v’c8j]tI6[]5j,oU g,nvj I6h;jk c8j]t0hk’0v’sq;|j;p
cmdwfh ! cm

I6[ 0 I6[ 7
I6[ d I6[ 9
I6[ C
I6[ l

{ c8j]t0hk’0v’c8j]tI6[,u9ad-a’8uc,af X cm ? L
{ zqo[;dma’\qfm5d0hk’0v’c8j]tI6[,u9ad-a’8uc,af X cm ? L

140

II. .97;k,D
{ dvj o9t;afcmd];’Iv[0v’I6[|bj’ s^n s^kpI6[8hv’lhk’sq;|;j p;afcmd
];’Iv[glpdvj oD
{ sq;|;j p;afcmd];’Iv[c,oj c,af X m ?F v5xt76o c]t mt;u76o0v’c,afD
{ ];’Iv[0v’c8]j tI6[c,jo];’pk;ma’\qf0v’0hk’ s^n gmqjkdaoda[zqo[;d
];’pk;0v’[aofk0hk’0v’I6[oAoD

III. [qfg/udsafD
!D 9qj’7yfw]j];’Iv[0v’c8j]tI6[]5j,oU3fpoe.-hsq;|;j pc,jo0hk’0v’ D

I6[ d I6[ 0 I6[ 7

I6[ C

I6[ 9 I6[ l I6[ - ສະຫງສ.ວວນ.ລິສຂະສິດ

@D 9qj’7yfw]]j ;’Iv[0v’c8j]tI6[]5,j oUgxao cm g,njvI6h;kj gmqjkda[ ! cm

I6[ 0D I6[ 7D
I6[ dD
36 m
#D l;o8vo|b’j gxaoI6[lucj 9lkdg-yj’,u
];’pk;cmdwfh #* m c]t ];’ 12 m
d;hk’cmd wfh !@ m D 4k,;jk l;o
8vofa’j dk;,u];’Iv[gmqkj .f L

141

[qfmu 52 goNvmuj

I. dyf9tdeD

!D rNoshv’oEgxaoI6[ * c9ltg\uD gryoj .-hfyo]kpgxaoI6[ # c9ltg\ux6shv’oEoUD
i 9qj’oa[g[yj’;jkgryoj .-hfyo]kp9adczoj 9b’j r=fu L
i 9qj’c[j’rNoshv’oEoUgxao * l;j oltg\udaoc]h;mkluc8]j tlj;o
X c[j’9kd.9dk’ ?
i 9qj’0tspkpI6[rNoshv’oEoU.sh.spdj ;kj gdqkj c]h;8afgxao * l;j olt
g\udao3fpg]u,j 9kd.9dk’0v’I6[ * c9D

ສະຫງສ.ວວນ.ລິສຂະສິດ
@D 9q’j oe.-hsq;|;j p grnvj ;afcmdgoNvmuj0v’I6[]5,j oUc]h;8v[7e4k,D
d0

{ c8]j t0hk’,u9ad8k L { c8j]t0hk’,u9ad8k L
{ goNvmumj a’\qf,u9ad8k L { goNvmumj a’\qf,u9ad8k L

142

#D lt4komucj s’j oUgxaome,t-kfmujl;p’k,csj’|b’j
9q’j -vd;ymugrnjvxP[mP[ goNvmuj0v’|v’lv’cs’j oUD

$D I6[/kgInvogrD 9qj’-vdskgoNvmu0j v’/kgroAo9tgmqkj da[fyo9u9j addhvoDສະຫງສ.ວວນ.ລິສຂະສິດ
g0fmjugr

&D 9q’j gvqkI6[9t85]afmu,j u0hk’ ! cm gxaosq;|j;pgrnjv;afcmdgoNvmuj
I, II, III 0v’I6[ dF 0F 7D

! cm III
II IIII III

d 07

143

II. .97;k,D

{ djvo9txP[mP[goNvmuj0v’ @ I6[ s^n s^kpI6[8hv’lhk’sq;

|j;p;afcmdgoNvmujdjvoD

{ sq;|;j p;afcmdgoNvmuj c,oj goNvmuj0v’I6[9t85]afmuj,u0hk’ G

! cm 8+ ! cm ! cm2

! dm 8+ ! dm !WW gmnvj ! dm2

! m 8+ ! m !W WWW gmnjv ! m2

{ I6[c8d8jk’daolk,kf,ugoNvmujgmqjkdaoD
8q;1jk’ G I6[c[8kj ’Mgs^qkj oUxtdv[fh;pI6[9t85]afmujgmqkj daoD

ສະຫງສ.ວວນ.ລິສຂະສິດ

III. [qfg/udsafD
!D .oI6[ * vaooU,u & I6[ mu,j ugoNvmujgmqjkdaoF ,u ! I6[ mu,j ugoNvmuj 8jk’\6Dj 9q’j -vdsk

I6[mu,j ugoNvmu8j kj ’\6j 3fp.-hI6[lk,c9 gxaog7nvj ’,n Xsq;|;j p;afcmd?
.odko;afcmdD

144

0 7
d

C l
9

@D ]5’ [q;lu vvdc[[shv’oEgxaoI6[ $ c9lkd c]t I6[9t85]af 7nI6[]5,j oUD 9kd
oAo gryoj .-hfyo]kpgxaoI6[9t85]af x6shv’oEfaj’djk;D
{ 9q’j oa[g[y’j ;jk gryjo.-hfyo]kp9adczjo.oc8]j tI6[ L
{ ma’lv’I6[.-hfyo]kpma’\qf9adczoj L
ສະຫງສ.ວວນ.ລິສຂະສິດ
X I6[ d ? X I6[ 0 ?

#D I6[/kgInvomujd+[+maoc]h;D 9q’j -vdskgoNvmuj0v’/kmujd+[+maoc]h;oAo9tgmqkj da[
fyo9uj9addhvo L
g0fmujd+[+c]h;

$D 9qj’c8h,I6[lujc9lkdmu,j u];’pk;gmqjk ( 8kdk3i c]t ,u];’dh;k’ * 8kdk
3iD 4k,;jk g9hpmujc8h,,uma’\qf9ad8kdk3iD

145

[qfmu 53 sq;|;j p;afcmdgoNvmuj

I. dyf9tdeD
!D 9q’j g]nvdgvqksq;|;j p;afcmdgoNvmuj ! cm2S ! m2 ; 1 km2 mujg\ktlq,le

]a[;afcmdgoNvmuj8+wxoU G

goNvmujshv’IPo goNvmuxj tgmf l x x ]k;

goNvmu|j hkxqd0v’xB,0Po goNvmujfyogInvoD

@D 9qj’0Po9eo;o.l.j o8k8t]k’]5,j oU G

kdm,@2 hIm,@2 dfadm,@2 m,@2 dfm,@2 c-m,@2 m,m,@2

95676 dm2 95676

127,54 dam2 12754

7,49 km2 ສະຫງສ.ວວນ.ລິສຂະສິດ

32765 m2

50 000 cm2

II. .97;k,D
sq;|;j p;afcmdgoNvmujmuj.-hs^kpc,oj G km2 ; m2 ; cm2

8k8t]k’sq;|j;p;afcmdgoNvmuj G

d,@ I,@ fd,@ ,@ f,@ -,@ ,,@

km2 hm2 dam2 m2 dm2 cm2 mm2
50000
00 1

3500000
2900

5 m2 = 50 000 cm2 ; 1 dm2 = 0,01 m2 ;
3,5 km2 = 3500 000 m2 ; 29 cm2 = 2 900 mm2 .

146

III. [qfg/udsafD

!D 9q’j oe.-h8k8t]k’grnjvxjPosq;|;j p;afcmd]5j,oUD

m2 dm2 cm2 42 m2 7 dm2= . . . . . . . . . . cm2
3285 cm2 = . . . . . . . . . . . dm2
42 07 85 180 cm2
32 80 = . . . . . . . . . . . dm2
6
1 52 dm2 = . . . . . . . . . . . m2
52
80 6 m2 80 dm2 = . . . . . . . . . . . cm2

@D 9q’j xPj osq;|j;p;afcmdgoNvmu]j 5j,oUD

60 km2 = . . . . . . . . . . . . hm2 1,4 dm2 = . . . . . . . . . . . . . . mm2

300 mm2 = . . . . . . . . . . . dm2 5 cm2 ສະຫງສ.ວວນ.ລິສຂະສິດ= . . . . . . . . . . . . . . dm2

18 hm2 = . . . . . . . . . . . . dam2 120 m2 = . . . . . . . . . . . . . . cm2

36,4 m2 = . . . . . . . . . . .. hm2 9 dam2 = . . . . . . . . . . . . . . m2

650000 cm2 = . . . . . . . . . . . m2 48000 dm2 = . . . . . . . . . . . . . . m2

#D 9qj’la’gdf8q;1jk’c]h;oe.-h.o0=h8+wxD

115 dm2 25 cm2 = 1 m2 15 dm2 25 cm2
340 m2 50 dm2 = 3 dam2 40 m2 50 dm2
247 dam2 40 m2 = 2 hm2 47 dam2 40 m2
242 dm2 42 m2 =
546 dm2 60 cm2 = ......................
5379 hm2 38 dam2 =
1345 dam2 60 m2 = ......................

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

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

147