Page 210 - Math Grade 12 (Advance)

PROEUS DARA

2. n = 1000a + !OOb + 10c + d

= ( 1100- 110 + 11 1 )a+ ( 110- 11 + 1 )b + (11 - 1 )c + d

= ( ll 00- 110 + 11 )a- a + ( 110 - 11 )b + b + 11 c- c + d

= 11(91a+96+c)+(b+d)-(a+c)

t:Wt2g n &tHii:htfsb 11 fflhlHl.m (b+d)-(a+c) &tsrii:htfsb 11 '1
u
f11fif1if: t?i'i:fl2G22 n = 8x6y ( Hllthmru 10) '1 d5Gtl5?irul~2ttl52fbil
U tl IJ 10 I &
xy = 12 '1 ~~firu~~ n t~'tlj2Jn&uni:htfst~ 3 '1

...
""
2.1. sruman
i(l111l1M
"' :
0 .. 0
- 1322 65x22<1473<65x23 ttHmmdlu22 1473 = 65x22+43
IJ ~ IJ
t2g'i:fl2arum m~&un 1473 sb 65 2Joru&un 22 sbn'iru~rn 43 '1

- 822 65x(-23)<-1473<65x(-22) t?inHbiitmmm 822
IJ n ~ IJ

-1473=65x(-23)+22 &2g'i:fl2Srudl m~&un -1473 sb 65 2Joru&un -23
st~n'iru~rn 22 '1 'lti&un~m]m2g t'i51lm 1afonfuull6tr'1

.!! II C»~ C» eJ eJ t::::ll Ql ':) 0 I t:::b Q1 Q 0 I Q ~
i:il!1f:!lilt1.1: tq~tH13nt'i5tiH~nt213~2?i6i llijlltti a 2bti~S?i6ifi~thii b ?i
0 I 0 I c::ft t::J1 Q 0 I Q C)
nrul611322?i6i H109ti q 2·tl1322?i6ifi'tl0l6i r. tt:lru a= bq+r U::hru 0';5;r<b '1
u 1 u· u ~
a &'i511 m ~run b &u n b t'i51l dl 61 &u n q t'i51l dl d ru &u n s b r tUli dl rJ ru1 rn '1
IJ

0 I
MfnflJ:

- tU 0 ::;; a< b t S1 g q = 0 S b r = a '1

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