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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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Ca`rlglf eqxmeda}Ca`rlglf eqxmeda} A~c`gl xba eokamxgya} ei `mmeqlxglf,
Haigla xba `}}ax# cg`ogcgxw# m`~gx`c# rayalqa `lh a~al}a
`mmeqlx}, Ha}mrgoa xba igl`lmg`c }x`xadalx} "]x`xadalx ei Igl`lmg`c
^e}gxgel# ]x`xadalx ei Med~rabal}gya Glmeda# ]x`xadalxei M`}b Icev} `lh ]x`xadalx ei Mb`l a} gl A qgx ,
Ha}mrgoa xba q}ar} ei igl`lmg`c }x`xadalx} `lh xbagrglierd`xgel`c laah},
Hg}xglfqg}b xba pq`cgx`xgya `}~amx} ei igl`lmg`c }x`xadalx}xb`x d`ja gx q}aiqc# }qmb `} racay`lma# med~`r`ogcgxw#qlhar}x`lh`ogcgxw# racg`ogcgxw `lh mel}g}xalmw,
Ha}mrgoa xba cgdgx`xgel} ei igl`lmg`c }x`xadalx},
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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^reocad @l`cw}g}^reocad @l`cw}g}
]axxglf q~
Med~`lw5 _apqgradalx}5
@mmeqlx}5
Vbe ra`h}@mmeqlx}5
555
Ierd`x ei@mmeqlx}5
]`d~ca ei@mmeqlx}5
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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@mmeqlxglf5@mmeqlxglf5@mmeqlxglf g} melmarlah vgxb xba ramerhglf
ei igl`lmg`c xr`l}`mxgel} ) xba ~ra~`r`xgel eiigl`lmg`c ra~erx} xe meddqlgm`xa ~`}x
igl`lmg`c arierd`lma,
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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Igl`lmg`c ]x`xadalx}Igl`lmg`c ]x`xadalx}Pqa}xgel; Vb`x `ra xba igl`lmg`c }x`xadalx} xe
oa ~ra}alxah ow med~`lga}5
]x`xadalx ei med~rabal}gya glmeda
]x`xadalx ei mb`lfa} gl apqgxw
]x`xadalx ei m`}b icev}
Lexa} xe @mmeqlx}Lex mel}gharah ` igl`lmg`c }x`xadalx oqx lama}}`rw gl
erhar xe ~reygha ` med~caxa ~gmxqra,
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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]x`xadalx ei igl`lmg`c ~e}gxgel]x`xadalx ei igl`lmg`c ~e}gxgel @c}e jlevl `} O`c`lma ]baax vbgmb }bev} xba igl`lmg`c
~e}gxgel ei ` oq}gla}},
]l`~}bex 4 @x ` ~`rxgmqc`r ~eglx ei xgda "a,f, @} `x =0Hamadoar ?>>6',
^ra}alx} xba `}}ax} evlah ow `l alxgxw# xba cg`ogcgxga} evahxe exbar} `lh xba `mmqdqc`xah glya}xdalx ei gx} evlar},
Xba cg}xglf ei`}}ax} }bev} q} vb`x xba oq}gla}} evl},
Xba cg}xglf eim`~gx`c `lh cg`ogcgxga} }bev} q} vbe }q~~cgahxba}a ra}eqrma} xe xba oq}gla}} `lh bev dqmb a`mb freq~}q~~cgah,
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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]x`xadalx ei med~rabal}gya glmeda]x`xadalx ei med~rabal}gya glmeda@c}e jlevl `} Glmeda ]x`xadalx er ^reigx `lh Ce}}
]x`xadalx vbgmb }qdd`rg}a} ~reigx`ogcgxw ei
e~ar`xgel},
Eyar ` ~argeh ei xgda "a,f, Ier xba wa`r alhah =0,
_ayalqa g} glmeda ired xba }`ca} ei ~rehqmx}#darmb`lhg}a# `lh }arygma}: `lh a`rlglf} ired glxara}x
glmeda# hgyghalh}# ralx}# axm,
A~al}a g} ` ~`wdalx# agxbar gl m`}b er ow `}}qdglf `cg`ogcgxw,
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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]x`xadalx ei mb`lfa} gl apqgxw]x`xadalx ei mb`lfa} gl apqgxw ]bev} `cc mb`lfa} gl apqgxw ga, m`~gx`c# ra}arya}#
rax`glah a`rlglf},
Eyar ` ~argeh ei xgda,
_a~ra}alx} glmra`}a % hamra`}a gl gx} lax `}}ax}hqrglf xba ~argeh falar`xah ow xba alxgxw}`mxgygxga}%e~ar`xgel},
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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]x`xadalx ei m`}b icev}]x`xadalx ei m`}b icev} ]bev} bev m`}b b`} oaal falar`xah `lh q}ah ow xba
oq}gla}},
Eyar ` ~argeh ei xgda,
@l glhgm`xgel ei cgpqghgxw,
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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Lexa} xe @mmeqlx}Lexa} xe @mmeqlx}Xba}a `ra lexa} `xx`mbah xe xba igl`lmg`c
}x`xadalx},^reygha} }eda glierd`xgel el xba oq}gla}}
ei xba med `l `lh }eda mmeqlxgl
~ecgmga} `he~xah,
^reygha} }eda hax`gc} xe marx`gl gxad} el
xba igl`lmg`c }x`xadalx a,f, Iqrxbarglierd`xgel el xba glya}xdalx} bach ow `
med~`lw,
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Vbw Igl`lmg`c ]x`xadalx}5Vbw Igl`lmg`c ]x`xadalx}5Pqa}xgel; Vb`x g} xba ~qr~e}a ei ~ra~`rglf xba igl`lmg`c}x`xadalx}5
]xrqmxqrah ra~ra}alx`xgel ei xba igl`lmg`c ~e}gxgel `lhigl`lmg`c ~arierd`lma ei `l alxgxw,
^reygha glierd`xgel ei `l alxgxw xb`x g} q}aiqc xe ` vghar`lfa ei q}ar} gl d`jglf ameledgm hamg}gel},
]bev xba ra}qcx} ei d`l`fadalx} }xav`rh}bg~ ei xba
ra}eqrma} alxrq}xah xe gx,
Caf`c rapqgradalx
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
12/23
@mmeqlxglf@mmeqlxglf Xard}Xard}Pqa}xgel; H`vl g} ql}qra `oeqx xba xard} q}ah gl xbaigl`lmg`c }x`xadalx}; ]x`xadalx ei Igl`lmg`c ^e}gxgel
@}}ax}
`lwxbglf evlah ow oq}gla}} a,f, glyalxerga}
Cg`ogcgxga}
`lwxbglf evglf xe exbar} a,f, mrahgxer}
Evlar} apqgxw
eocgf`xgel ei oq}gla}} xe gx} evlar} a,f, m`~gx`c
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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@mmeqlxglf@mmeqlxglf Xard}Xard}Pqa}xgel; H`vl g} ql}qra `oeqx xba xard} q}ah gl xbaigl`lmg`c }x`xadalx}; ]x`xadalx ei Med~rabal}gya
Glmeda
_ayalqa
@deqlx ramagyah ired }`ca}
A~al}a}
~`wdalx gl m`}b er `}}qdglf ` cg`ogcgxw a,f, ]`c`rw
a~al}a
Glmeda%a`rlglf}%~reigx
Lax `deqlx a`rlah
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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Pq`cgx`xgya `}~amx}Pq`cgx`xgya `}~amx} _acay`lx glierd`xgelM`l glicqalma ` hamg}gel: gx g} xgdacw `lh b`} ~rahgmxgya `lh%er
iaaho`mj y`cqa,
A,f, Q}a xba mqrralx ~rgma ei ` }b`ra xe ~rahgmx gx} }accglf ~rgma _acg`oca glierd`xgel
G} `mmqr`xa# qlog`}ah# `lh yargig`oca,
A,f, Lav} ~qocg}bah gl Xba ]xr`gx} Xgda},
Mel}g}xalx glierd`xgelM`l oa med~`rah eyar xgda oam`q}a }gdgc`r `mmeqlxglf daxbeh}
b`ya oaal `~~cgah,
A,f, _a~erx xb`x q}a} hgiiaralx `mmeqlxglf }x`lh`rh} eyar ?mel}amqxgya wa`r} g} lex mel}g}xalx,
Med~`r`oca glierd`xgel
@ccev} med~`rg}el} `mre}} oq}gla}} oam`q}a }gdgc`r `mmeqlxglfdaxbeh} b`ya oaal `~~cgah,
A,f, Med~`rglf ~reigx} ei mbemec`xa med~`lw vgxb ~re~arxw
hayace~dalx med~`lw g} lex med~`r`oca,
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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Q}ar} ei Igl`lmg`c ]x`xadalx}Q}ar} ei Igl`lmg`c ]x`xadalx}Pqa}xgel; G} H`vl xba elcw ela vbe vgcc ra`h xbaigl`lmg`c }x`xadalx}5
Q}ar} ei igl`lmg`c }x`xadalx} glmcqha;
Evlar} % ]b`rabechar}
Mrahgxer}
Feyarldalx
D`l`fadalx
^qocgm glxara}x freq~}
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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Mel}ghar`xgel} vbal ~ra~`rglf Igl`lmg`cMel}ghar`xgel} vbal ~ra~`rglf Igl`lmg`c
}x`xadalx}}x`xadalx}Pqa}xgel; Xbara `ra }eda g}}qa} xb`x H`vl b`} xex`ja glxe mel}ghar`xgel vbal ~ra~`rglf xba igl`lmg`c
}x`xadalx}, Vb`x `ra xba}a5
Me}x oalaigx
Oalaigx} xe q}ar} }beqch eqxvagfb me}x} ei~reyghglf glierd`xgel,
D`xarg`cgxw_ac`xgyacw }d`cc `deqlx} lex cgjacw xe glicqalma
hamg}gel} `ra xe oa ramerhah gl xba de}x me}x$
oalaigmg`c v`w,
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
17/23
Mel}ghar`xgel} vbal ~ra~`rglf Igl`lmg`cMel}ghar`xgel} vbal ~ra~`rglf Igl`lmg`c
}x`xadalx}}x`xadalx}Pqa}xgel; Xbara `ra }eda g}}qa} xb`x H`vl b`} xex`ja glxe mel}ghar`xgel vbal ~ra~`rglf xba igl`lmg`c
}x`xadalx}, Vb`x `ra xba}a5 "melx'
Glhq}xr r`mxgma}
Glhq}xrw$}~amgigm da`}qradalx} `lh ra~erxglfhayg`xgel} d`w oa `mma~x`oca, @hbarglf xe glhq}xrw~r`mxgma} hamra`}a} xba med~`r`ogcgxw `mre}}
glhq}xrga},
Mel}ary`xg}d
Aarmg}a m`ra lex xe eyar}x`xa `}}ax} `lh rayalqa}er qlhar}x`xa cg`ogcgxga} `lh a~al}a},
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
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Melmcq}gelMelmcq}gelGl `mmerh`lma vgxb xba cem`c }x`lh`rh}# xba o`}gm
igl`lmg`c }x`xadalx} glmcqha;
]x`xadalx ei igl`lmg`c ~e}gxgel
]x`xadalx ei med~rabal}gya glmeda
]x`xadalx ei m`}b icev} ]x`xadalx ei mb`lfa} gl apqgxw
@} ~ar Igl`lmg`c _a~erxglf ]x`lh`rh I_] 0
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8/9/2019 B215 AC01_Numbers and Words_6th Presentation_17Apr2009
20/23
Dglhd`~Dglhd`~
@mmeqlxglf
Q}ar} ei igl`lmg`c}x`xadalx}
Glierd`xgel`c
laah}
Igl`lmg`c ]x`xadalx};0, ]x`xadalx ei
igl`lmg`c ~e}gxgel?, ]x`xadalx ei
med~rabal}gyaglmeda
Pq`cgx`xgya @}~amx} eiigl`lmg`c ra~erxglf;0,racay`lma#?,racg`ogcgxw#=,mel}g}xalmw#8,med~`r`ogcgxw
Cgdgx`xgel}ei igl`lmg`c}x`xadalx}
=, ]x`xadalx ei m`}bicev}8, ]x`xadalx ei
mb`lfa} gl apqgxw
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_aiaralma}_aiaralma}Vao}gxa}
0, Igl`lmg`c _a~erxglf ]x`lh`rh I_] 0#
bxx~;%%vvv,`}m,fey,}f%ir}%glha,bxd : raxrgayah el 0? Iao K`l ?>>7,?, Pq`cgx`xgya @}~amx} ei Igl`lmg`c _a~erxglf
bxx~;%%vvv,glhg`ldo`,med%I`mqcxwUMecqdl%IM916%im916,bxdc: raxrgayah el 0? Iao
?>>7,
, mmeqlx lf ard}
bxx~;%%vvv,glya}xerverh},med%mfg$ogl%ow}qokamx,mfg50 : raxrgayah el 0? Iao ?>>7,
8, Cgdgx`xgel} ei Igl`lmg c ]x`xadalx}
bxx~;%%o`}gmmeccafa`mmeqlxglf,med%cgdgx`xgel}$ei$xba$igl`lmg`c$}x`xadalx}%: raxrgayah
el ?= Iao ?>>7
1, Q}ar} ei Igl`lmg`c ]x`xadalx}bxx~;%%vao~`fa},`m},xxq,ahq%kjy`}gm%Mb`~xar!?>0,~~x: raxrgayah el ?= Iao ?>>7
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_aiaralma}_aiaralma}Xarxoeej}
0, Cgoow# Cgoow `lh ]berx: Igl`lmg`c @mmeqlxglf# 1xb ahgxgel:
DmFr`v Bgcc: ?>>6: Mb`~xar 0# 1
, # #
Lac}el Xberla} ^qocg}bglf: ?>>0
=, _`w Ke~cglf# axar Cqm`}# F`rrw Lerxel: @mmeqlxglf Ier
Oq}gla}}; ` lel$`mmeqlx`lx} Fqgha: ?lh Ahgxgel:
Mb`~xar} 0#=#8
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