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v©fS« ÏlkÂ¥ò«

Xçy¡fXçy¡f v©fŸ
v©âš äf¥bgçaJ
äf¢Á¿aJ

1 2 3 4 5 6 7 8 9
äf¢Á¿aJ
<çy¡f <çy¡f v©fŸ
v©âš äf¥bgçaJ
10 20 30 40 50 60 70 80 99

äf¢Á¿aJ
_‹¿y¡f v©âš v©fŸ
_‹¿y¡f äf¥bgçaJ
100 200 300 400 500 600 700 800 999

eh‹»y¡f äf¥bgçaJ
äf¢Á¿aJ
eh‹»y¡f v©âš v©fŸ
1000 2000 3000 4000 5000 6000 7000 8000 9999
v© cU vGJf

v© bga®

9000
7000
5000
8000
1000

Mæu§fŸ

400
900
000
700
600

üWfŸ

80
40
30
00

g¤JfŸ

0
6
2
0

x‹WfŸ

v© cU

Mæu¤J mWüW
Mæu¤J

Iahæu¤J eh‰g¤J
Ïu©L

VHhæu¤J¤
bjhŸshæu¤J
v©g¤jhW
v£lhæu¤J vGü‰W
K¥gJ
x‹gjhæu¤J eh}‰W
v©gJ

mWüW

Iahæu¤J eh‰g¤J
Ïu©L
Át¥ò t©zä£l v©å‹ ÏlkÂ¥ig vGJf

5 7
5000

Át¥ò t©zä£l v©å‹ ÏlkÂ¥ò
éçΡ F¿p£oš vGJf

2 3 8
3 2 3 80
00 0
00

+
+

+
+

++
£l toéš vGJf

2000 + 400 + 20 + 7

3000 + 500 + 60 + 5
v©fëš bgça v©, Á¿a v© fhz Kjèš Ïy¡f§fë‹ v©â¡ifia x¥Ãl nt©L«. Ïy¡f§fŸ rkkhæ‹ ÏläUªJ tykhf Ïy¡f§fë‹
ÏlkÂ¥ig x¥Ãl nt©L«

bgça v©iz t£läLf

M

ü

g

Mæu§fŸ
rk«

x

üWfŸ
rk«

g¤Jfëš
70 bgçaJ

6 22 77 0 0
6
0000
6 22 000 0
6 066 0
6
6 22 0000
0 66 7
bgça v©

MF«
Mâ kâ¢r£l« fh£L« v© 2 9 ,3 7,4 6 5

nfh

gÏ

2

Ï

9
0

gM

3
0

2×1 0 0 0 0 0 0 9×10 0 0 0 0

+

+

M

0
7
0

ü

g

x

0
4
0

0
6
0

0
5

3×10 0 0 0

+

7×10 0 0

+

4×100

+

6×1 0

5×1

+
ËtU« v©Q¡fhd
kâ¢r£l« mik¤J
Ïlk¥Énf‰wh‰
nghš
kâfis Ï£L
v© bga® k‰W«
éçΡ
F¿p£oš vGJf.

2 3, 4 7, 2 8 0

nfh

gÏ

2

Ï

0
3

gM

0
4

M

0
7

ü

g

x

0
2

8
0

5
0

0
8×10 0
0, 0 0 0
000
00
22×10000000 0 3,3×100000 0 4 4×10000 7,7×1000 2 2×100 8 0 0×1
0, 0 0, 0
0 0, 0 0

+

+

+

+

ÏUg¤J _‹W y£r¤J
ÏUü‰W

+

+

eh‰g¤njHhæu¤J
v©gJ
4 Ï‹ ÏlkÂ¥ò 4 × 1

=

4

1 Ï‹ ÏlkÂ¥ò 1 × 10

=

10

0 Ï‹ ÏlkÂ¥ò 0 × 100
000

=

9 Ï‹ ÏlkÂ¥ò 9 × 1,000

=

9,000

2 Ï‹ ÏlkÂ¥ò 2 × 10,000

=

20,000

8 Ï‹ ÏlkÂ¥ò 8 × 1,00,000
8,00,000

=
35,826 k‰W« 9,586 M»at‰¿š Á¿aJ vJ?

M

ü

g

x

9 5 8 6

gM

M

ü

g

x

3 5 8 2 6

4 Ïy¡f§fŸ

5 Ïy¡f§fŸ

mÂf Ïy¡f§fis¡ bfh©l v©fŸ bgça v©fŸ MF«

Fiªj Ïy¡f§fis¡
bfh©l v©

<

mÂf Ïy¡f§fis¡
bfh©l v©
gM

f£oè‹ éiy =

M

ü

g

x

2 3
1 2, 7 0 0

Õnuhé‹ éiy =

12 3
9, 10 0 0

nkiræ‹ éiy =

14 7
2, 17 0 0

1 1
4 7 0 0
gM

M

ü

g

x

3 8, 6
1 10 4

4
3 6
1 11 13 0 11
5
4 1, 7
6 6, 4 7
2 17 17 11 0
9 9, 3 9
3 26 20 20 0

6 2 0
2 20 2
0

1
gM

M

ü

g

x

3 8, 6
1 10 4

4
3 6
1 11 13 0 11
5
4 1, 7
6 6, 4 7
2 17 17 11 0
9 9, 3 9
3 26 20 20 0

6 2 0
2 20 2
0

1
ÏlkÂ¥ò

10 17 10 12 12
50 20
10
gM

20,000

1
2

fê¡f (▬)

M

ü

g

x

7, 600 30 2
6 3 /
5 1
1 2

7,000

8, 2

6

7

9

6

5

3

X‹wh« Ïl¤ÂèUªJ
eh« fê¤jiy¤ bjhl§f
nt©L« X‹wh« Ïl¤Âš
nkny 2 –x‹WfŸ cŸsJ .
2 - x‹WfëèUªJ
7 - x‹Wfis¡ fê¡f KoahJ
Vdnt mU»š cŸs g¤jh«
Ïl¤ÂèUªJ xU g¤ij g¤J
x‹Wfsh¡» x‹wh«
Ïl¤ÂYŸs 2 cl‹ nr®¤jhš
bkh¤j« 12- x‹WfŸ
»il¡F« . 12- x‹Wfëš
ÏUªJ 7-x‹Wfis¡
fê¤jhš Ûj« 5-MF«.
gM

M

ü

g

x

7 - 4
4

=

3

4 6, 3
fê¡f (▬)

5

7

5 - 4
4

=

1

*

*

*

*

=

2

2 1, 2

1

3

3 - 1
1
5
6 - 5

=

1

4 - 2
2

=

2

*

46,357 – 25,144

= 21,213
M

ü

g

x

bgU¡f¥gL« v©

9, 5 0 0
1 9, 0 0 0

bgU¡F« v©

2

=

0

=

0

= 1 0

= 1 8
9
9,
=

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Maths by singaraj 5th first term

  • 1. v©fS« ÏlkÂ¥ò« Xçy¡fXçy¡f v©fŸ v©âš äf¥bgçaJ äf¢Á¿aJ 1 2 3 4 5 6 7 8 9 äf¢Á¿aJ <çy¡f <çy¡f v©fŸ v©âš äf¥bgçaJ 10 20 30 40 50 60 70 80 99 äf¢Á¿aJ _‹¿y¡f v©âš v©fŸ _‹¿y¡f äf¥bgçaJ 100 200 300 400 500 600 700 800 999 eh‹»y¡f äf¥bgçaJ äf¢Á¿aJ eh‹»y¡f v©âš v©fŸ 1000 2000 3000 4000 5000 6000 7000 8000 9999
  • 2. v© cU vGJf v© bga® 9000 7000 5000 8000 1000 Mæu§fŸ 400 900 000 700 600 üWfŸ 80 40 30 00 g¤JfŸ 0 6 2 0 x‹WfŸ v© cU Mæu¤J mWüW Mæu¤J Iahæu¤J eh‰g¤J Ïu©L VHhæu¤J¤ bjhŸshæu¤J v©g¤jhW v£lhæu¤J vGü‰W K¥gJ x‹gjhæu¤J eh}‰W v©gJ mWüW Iahæu¤J eh‰g¤J Ïu©L
  • 3. Át¥ò t©zä£l v©å‹ ÏlkÂ¥ig vGJf 5 7 5000 Át¥ò t©zä£l v©å‹ ÏlkÂ¥ò
  • 4. éçΡ F¿p£oš vGJf 2 3 8 3 2 3 80 00 0 00 + + + + ++
  • 5. £l toéš vGJf 2000 + 400 + 20 + 7 3000 + 500 + 60 + 5
  • 6. v©fëš bgça v©, Á¿a v© fhz Kjèš Ïy¡f§fë‹ v©â¡ifia x¥Ãl nt©L«. Ïy¡f§fŸ rkkhæ‹ ÏläUªJ tykhf Ïy¡f§fë‹ ÏlkÂ¥ig x¥Ãl nt©L« bgça v©iz t£läLf M ü g Mæu§fŸ rk« x üWfŸ rk« g¤Jfëš 70 bgçaJ 6 22 77 0 0 6 0000 6 22 000 0 6 066 0 6 6 22 0000 0 66 7 bgça v© MF«
  • 7. Mâ kâ¢r£l« fh£L« v© 2 9 ,3 7,4 6 5 nfh gÏ 2 Ï 9 0 gM 3 0 2×1 0 0 0 0 0 0 9×10 0 0 0 0 + + M 0 7 0 ü g x 0 4 0 0 6 0 0 5 3×10 0 0 0 + 7×10 0 0 + 4×100 + 6×1 0 5×1 +
  • 8. ËtU« v©Q¡fhd kâ¢r£l« mik¤J Ïlk¥Énf‰wh‰ nghš kâfis Ï£L v© bga® k‰W« éçΡ F¿p£oš vGJf. 2 3, 4 7, 2 8 0 nfh gÏ 2 Ï 0 3 gM 0 4 M 0 7 ü g x 0 2 8 0 5 0 0 8×10 0 0, 0 0 0 000 00 22×10000000 0 3,3×100000 0 4 4×10000 7,7×1000 2 2×100 8 0 0×1 0, 0 0, 0 0 0, 0 0 + + + + ÏUg¤J _‹W y£r¤J ÏUü‰W + + eh‰g¤njHhæu¤J v©gJ
  • 9. 4 Ï‹ ÏlkÂ¥ò 4 × 1 = 4 1 Ï‹ ÏlkÂ¥ò 1 × 10 = 10 0 Ï‹ ÏlkÂ¥ò 0 × 100 000 = 9 Ï‹ ÏlkÂ¥ò 9 × 1,000 = 9,000 2 Ï‹ ÏlkÂ¥ò 2 × 10,000 = 20,000 8 Ï‹ ÏlkÂ¥ò 8 × 1,00,000 8,00,000 =
  • 10. 35,826 k‰W« 9,586 M»at‰¿š Á¿aJ vJ? M ü g x 9 5 8 6 gM M ü g x 3 5 8 2 6 4 Ïy¡f§fŸ 5 Ïy¡f§fŸ mÂf Ïy¡f§fis¡ bfh©l v©fŸ bgça v©fŸ MF« Fiªj Ïy¡f§fis¡ bfh©l v© < mÂf Ïy¡f§fis¡ bfh©l v©
  • 11. gM f£oè‹ éiy = M ü g x 2 3 1 2, 7 0 0 Õnuhé‹ éiy = 12 3 9, 10 0 0 nkiræ‹ éiy = 14 7 2, 17 0 0 1 1 4 7 0 0
  • 12. gM M ü g x 3 8, 6 1 10 4 4 3 6 1 11 13 0 11 5 4 1, 7 6 6, 4 7 2 17 17 11 0 9 9, 3 9 3 26 20 20 0 6 2 0 2 20 2 0 1
  • 13. gM M ü g x 3 8, 6 1 10 4 4 3 6 1 11 13 0 11 5 4 1, 7 6 6, 4 7 2 17 17 11 0 9 9, 3 9 3 26 20 20 0 6 2 0 2 20 2 0 1
  • 14. ÏlkÂ¥ò 10 17 10 12 12 50 20 10 gM 20,000 1 2 fê¡f (▬) M ü g x 7, 600 30 2 6 3 / 5 1 1 2 7,000 8, 2 6 7 9 6 5 3 X‹wh« Ïl¤ÂèUªJ eh« fê¤jiy¤ bjhl§f nt©L« X‹wh« Ïl¤Âš nkny 2 –x‹WfŸ cŸsJ . 2 - x‹WfëèUªJ 7 - x‹Wfis¡ fê¡f KoahJ Vdnt mU»š cŸs g¤jh« Ïl¤ÂèUªJ xU g¤ij g¤J x‹Wfsh¡» x‹wh« Ïl¤ÂYŸs 2 cl‹ nr®¤jhš bkh¤j« 12- x‹WfŸ »il¡F« . 12- x‹Wfëš ÏUªJ 7-x‹Wfis¡ fê¤jhš Ûj« 5-MF«.
  • 15. gM M ü g x 7 - 4 4 = 3 4 6, 3 fê¡f (▬) 5 7 5 - 4 4 = 1 * * * * = 2 2 1, 2 1 3 3 - 1 1 5 6 - 5 = 1 4 - 2 2 = 2 * 46,357 – 25,144 = 21,213
  • 16. M ü g x bgU¡f¥gL« v© 9, 5 0 0 1 9, 0 0 0 bgU¡F« v© 2 = 0 = 0 = 1 0 = 1 8 9 9, =