ΤΕΤΡ ΕΡΓ
DESCRIPTION
AAAAAAAAAAAAAAAAAAAAATRANSCRIPT
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Áã Ù‡¯Ô˜
M·ıËÌ·ÙÈο °ã¢ËÌÔÙÈÎÔ‡
ª·ıËÌ·ÙÈο Ù˘ º‡Û˘ Î·È Ù˘ ∑ˆ‹˜
TÂÙÚ¿‰ÈÔ EÚÁ·ÛÈÒÓ
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™Y°°PAºEI™ ÷ڿϷÌÔ˜ §ÂÌÔÓ›‰Ë˜, ∫·ıËÁËÙ‹˜ ÙÔ˘ ¶·ÓÂÈÛÙËÌ›Ô˘ ¢˘ÙÈ΋˜ª·Î‰ÔÓ›·˜ ∂˘Ù¤ÚË £ÂÔ‰ÒÚÔ˘, ∂Î·È‰Â˘ÙÈÎfi˜∫ˆÓÛÙ·ÓÙ›ÓÔ˜ ¡ÈÎÔÏ·ÓÙˆÓ¿Î˘, §¤ÎÙÔÚ·˜ ÙÔ˘ ¶·ÓÂÈÛÙËÌ›Ô˘ ¢˘ÙÈ΋˜ª·Î‰ÔÓ›·˜πˆ¿ÓÓ˘ ¶·Ó·Á¿ÎÔ˜, ™¯ÔÏÈÎfi˜ ™‡Ì‚Ô˘ÏÔ˜∞‰·Ì·ÓÙ›· ™·Ó·Î¿, ∂Î·È‰Â˘ÙÈÎfi˜
KPITE™-A•IO§O°HTE™ ∂˘Á¤ÓÈÔ˜ ∞˘ÁÂÚÈÓfi˜, ∫·ıËÁËÙ‹˜ ÙÔ˘ ¶·ÓÂÈÛÙËÌ›Ô˘ ∞ÈÁ·›Ô˘µ·Ú‚¿Ú· °ÂˆÚÁÈ¿‰Ô˘ ∫·ÌÔ˘Ú›‰Ë, ™¯ÔÏÈ΋ ™‡Ì‚Ô˘ÏÔ˜¶¤ÙÚÔ˜ ÷‚È¿Ú˘, ∂Î·È‰Â˘ÙÈÎfi˜
EIKONO°PAºH™H ∫ˆÓÛÙ·ÓÙ›ÓÔ˜ ∞ÚÒÓ˘, ™ÎÈÙÛÔÁÚ¿ÊÔ˜-∂ÈÎÔÓÔÁÚ¿ÊÔ˜
ºI§O§O°IKH E¶IME§EIA ∞ϤͷӉÚÔ˜ ¡ÈÎÔÏ·˝‰Ë˜, ºÈÏfiÏÔÁÔ˜
Y¶EY£YNO™ TOY MA£HMATO™KATA TH ™Y°°PAºH KAI
Y¶EY£YNO™ TOY Y¶OEP°OY °ÂÒÚÁÈÔ˜ ∆‡·˜, ªfiÓÈÌÔ˜ ¶¿Ú‰ÚÔ˜ ÙÔ˘ ¶·È‰·ÁˆÁÈÎÔ‡ πÓÛÙÈÙÔ‡ÙÔ˘
E•øºY§§O Ÿ˘ ∑Ô‡ÓË, ∂ÈηÛÙÈÎfi˜ ∫·ÏÏÈÙ¤¯Ó˘
¶POEKTY¶øTIKE™ EP°A™IE™ ACCESS °Ú·ÊÈΤ˜ T¤¯Ó˜ A.E.
™ÙË Û˘ÁÁÚ·Ê‹ ÙÔ˘ ÚÒÙÔ˘ ̤ÚÔ˘˜ (1/3) ¤Ï·‚ ̤ÚÔ˜ Î·È Ô Iˆ¿ÓÓ˘ £ˆ›‰Ë˜,§¤ÎÙÔÚ·˜ ÙÔ˘ ¶·ÓÂÈÛÙËÌ›Ô˘ ¢˘ÙÈ΋˜ M·Î‰ÔÓ›·˜
°ã ∫.¶.™. / ∂¶∂∞∂∫ ππ / ∂Ó¤ÚÁÂÈ· 2.2.1 / ∫·ÙËÁÔÚ›· ¶Ú¿ÍÂˆÓ 2.2.1.·: «∞Ó·ÌfiÚʈÛË ÙˆÓ ÚÔÁÚ·ÌÌ¿ÙˆÓ ÛÔ˘‰ÒÓ Î·È Û˘ÁÁÚ·Ê‹ Ó¤ˆÓ ÂÎ·È‰Â˘ÙÈÎÒÓ ·Î¤ÙˆÓ»
¶∞π¢∞°ø°π∫√ π¡™∆π∆√À∆√ªÈ¯¿Ï˘ ∞Á. ¶··‰fiÔ˘ÏÔ˜√ÌfiÙÈÌÔ˜ ∫·ıËÁËÙ‹˜ ÙÔ˘ ∞.¶.£¶Úfi‰ÚÔ˜ ÙÔ˘ ¶·È‰·ÁˆÁÈÎÔ‡ πÓÛÙÈÙÔ‡ÙÔ˘
¶Ú¿ÍË Ì ٛÙÏÔ: «™˘ÁÁÚ·Ê‹ Ó¤ˆÓ ‚È‚Ï›ˆÓ Î·È ·Ú·ÁˆÁ‹ ˘ÔÛÙËÚÈÎÙÈÎÔ‡ ÂÎ·È‰Â˘ÙÈÎÔ‡ ̆ ÏÈÎÔ‡ Ì ‚¿ÛËÙÔ ¢∂¶¶™ Î·È Ù· ∞¶™ ÁÈ· ÙÔ ¢ËÌÔÙÈÎfi Î·È ÙÔ NËÈ·ÁˆÁ›Ի
∂ÈÛÙËÌÔÓÈÎfi˜ À‡ı˘ÓÔ˜ ŒÚÁÔ˘°ÂÒÚÁÈÔ˜ ∆‡·˜MfiÓÈÌÔ˜ ¶¿Ú‰ÚÔ˜ ÙÔ˘ ¶·È‰·ÁˆÁÈÎÔ‡ πÓÛÙÈÙÔ‡ÙÔ˘
∞Ó·ÏËÚˆÙ‹˜ ∂ÈÛÙËÌÔÓÈÎfi˜ À‡ı˘ÓÔ˜ ŒÚÁÔ˘°ÂÒÚÁÈÔ˜ √ÈÎÔÓfiÌÔ˘MfiÓÈÌÔ˜ ¶¿Ú‰ÚÔ˜ ÙÔ˘ ¶·È‰·ÁˆÁÈÎÔ‡ πÓÛÙÈÙÔ‡ÙÔ˘
ŒÚÁÔ Û˘Á¯ÚËÌ·ÙÔ‰ÔÙÔ‡ÌÂÓÔ 75% ·fi ÙÔ ∂˘Úˆ·˚Îfi ∫ÔÈÓˆÓÈÎfi ∆·ÌÂ›Ô Î·È 25% ·fi ÂıÓÈÎÔ‡˜ fiÚÔ˘˜.
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À¶√Àƒ°∂π√ ∂£¡π∫∏™ ¶∞π¢∂π∞™ ∫∞𠣃∏™∫∂Àª∞∆ø¡
¶ ∞ π ¢ ∞ ° ø ° π ∫ √ π ¡ ™ ∆ π ∆ √ À ∆ √
÷ڿϷÌÔ˜ §ÂÌÔÓ›‰Ë˜ ∂˘Ù¤ÚË £ÂÔ‰ÒÚÔ˘ ∫ˆÓÛÙ·ÓÙ›ÓÔ˜ ¡ÈÎÔÏ·ÓÙˆÓ¿Î˘
πˆ¿ÓÓ˘ ¶·Ó·Á¿ÎÔ˜ ∞‰·Ì·ÓÙ›· ™·Ó·Î¿
ANA¢OXO™ ™Y°°PAºH™: ∂§§∏¡π∫∞ °ƒ∞ªª∞∆∞ ∞.∂.
OP°ANI™MO™ EK¢O™Eø™ ¢I¢AKTIKøN BIB§IøN
A£HNA
Áã Ù‡¯Ô˜
M·ıËÌ·ÙÈο °ã¢ËÌÔÙÈÎÔ‡
ª·ıËÌ·ÙÈο Ù˘ º‡Û˘ Î·È Ù˘ ∑ˆ‹˜
TÂÙÚ¿‰ÈÔ EÚÁ·ÛÈÒÓ
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4
¢¢ÔÌ‹ ÙÔ̆ ‚È‚Ï›Ô˘
XXÚÚˆ̂ÌÌ··ÙÙÈÈÎο¿ ÛÛ‡‡ÌÌ‚‚ÔÔÏÏ··
E·Ó¿ÏË„Ë
·ÚÈıÌÔ›
Ú¿ÍÂȘ
ÁˆÌÂÙÚ›·
ÌÂÙÚ‹ÛÂȘ
ÚÔ‚Ï‹Ì·Ù·
K¿ı ÎÂÊ¿Ï·ÈÔ, ·Ó¿ÏÔÁ· Ì ÙËıÂÌ·ÙÈ΋ ÂÚÈÔ¯‹ ÛÙËÓ ÔÔÈ¿·Ó·Ê¤ÚÂÙ·È, ¤¯ÂÈ ¤Ó· ̄ ÚÒÌ·.OÈ ÂÚÈÔ¯¤˜ ›ӷÈ:
OO ¶¶˘̆ıı··ÁÁfifiÚÚ··˜̃ ÔÔ˘̆ ÛÛÎΤ¤ÊÊÙÙÂÂÙÙ··ÈÈ -- ™™‡‡ÌÌ‚‚ÔÔÏÏÔÔ
ÛÛÎΤ¤„„ˢ̃:::: EÌÊ·Ó›˙ÂÙ·È Û ‰Ú·ÛÙËÚÈfiÙËÙ˜ÓÔÂÚÒÓ ̆ ÔÏÔÁÈÛÌÒÓ.
HH Ì̤¤ÏÏÈÈÛÛÛÛ·· -- ™™‡‡ÌÌ‚‚ÔÔÏÏÔÔ ÂÂÚÚÁÁ··ÙÙÈÈÎÎfifiÙÙËËÙÙ··˜̃:: EÌÊ·-Ó›˙ÂÙ·È Û ‰Ú·ÛÙËÚÈfiÙËÙ˜ ÂÊ·ÚÌÔÁ‹˜ ηÈÂ̤‰ˆÛ˘.
OO ÛÛη‡ÏÏÔÔ˜̃ ÈȱÓÓËËÏÏ¿¿ÙÙˢ̃ -- ™™‡‡ÌÌ‚‚ÔÔÏÏÔÔ ··ÓÓ··Îο¿ÏÏ˘̆„„ˢ̃ ::
EÌÊ·Ó›˙ÂÙ·È ÛÙȘ ‰Ú·ÛÙËÚÈfiÙËÙ˜ Ô˘ÂÈÛ¿ÁÔ˘Ó ÙÔ˘˜ Ì·ıËÙ¤˜ ÛÙË Ó¤· ÁÓÒÛË.
OO ÂÂÏϤ¤ÊÊ··ÓÓÙÙ··˜̃ -- ™™‡‡ÌÌ‚‚ÔÔÏÏÔÔ ÌÌÓÓ‹‹ÌÌˢ̃:: EÌÊ·Ó›˙ÂÙ·È
ÛÙȘ ‰Ú·ÛÙËÚÈfiÙËÙ˜ ·ӿÏ˄˘.
OOÌÌ¿¿‰‰·· ÌÌ··ııËËÙÙÒÒÓÓ -- ™™‡‡ÌÌ‚‚ÔÔÏÏÔÔ ÔÔÌÌ··‰‰ÈÈÎÎfifiÙÙËËÙÙ··˜̃::
EÌÊ·Ó›˙ÂÙ·È Û ‰Ú·ÛÙËÚÈfiÙËÙ˜ Ô˘ ÌÔÚÔ‡ÓÓ· Á›ÓÔ˘Ó Û ÔÌ¿‰Â˜.
T›ÙÏÔ˜ÎÂÊ·Ï·›Ô˘
™‡Ì‚ÔÏÔ - ÎÏÂȉ› ÁÈ·ÙÔ Â›‰Ô˜ Ù˘ ÂÚÁ·Û›·˜Ô˘ ·ÎÔÏÔ˘ı› *
AÚÈıÌfi˜ÎÂÊ·Ï·›Ô˘
AÚÈıÌfi˜ ÛÂÏ›‰·˜
EEÈÈÎÎÔÔÓÓ››‰‰ÈÈ·· ((ÛÛ‡‡ÌÌ‚‚ÔÔÏÏ·· ÎÎÏÏÂÂÈȉ‰ÈÈ¿¿))
™ÙËÓ ¿Óˆ ·ÚÈÛÙÂÚ‹ ÁˆÓ›· οı ‰Ú·ÛÙËÚÈfiÙËÙ·˜˘¿Ú¯ÂÈ ¤Ó· ·fi Ù· ·Ú·Î¿Ùˆ ۇ̂ÔÏ·:
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5
¢ÔÌ‹ ÙÔ˘ ‚È‚Ï›Ô̆˘
AÚÈıÌfi˜‰Ú·ÛÙËÚÈfiÙËÙ·˜
™ËÌ›ˆÛË ÁÈ· ÙÔ ‰¿ÛηÏÔ ÛÙÔ˘˜ ÓÔÂÚÔ‡˜ ̆ ÔÏÔÁÈÛÌÔ‡˜
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6
OOÈ‹Ú Â̂̃ ÙÔ̆ ‚È‚Ï›Ô˘
¶¶˘̆ıı··ÁÁfifiÚÚ··˜̃ ÔÔ ™™¿¿ÌÌÈÈÔÔ˜̃ ((ÂÂÚÚ››ÔÔ˘̆ 660000 ..ÃÃ..))
O ¶˘ı·ÁfiÚ·˜ ‹Ù·Ó ¤Ó·˜ ÛÔ˘‰·›Ô˜ Ì·ıËÌ·ÙÈÎfi˜ Ù˘·Ú¯·ÈfiÙËÙ·˜ Ô˘ ÁÂÓÓ‹ıËΠÛÙË ™¿ÌÔ. ÿ‰Ú˘Û ÌÈ· Û¯ÔÏ‹, ÙÔ˘˜¶˘ı·ÁfiÚÂÈÔ˘˜, ÔÈ ÔÔ›ÔÈ ÌÂÏÂÙÔ‡Û·Ó ÙËÓ ÊÈÏÔÛÔÊ›·, Ù·Ì·ıËÌ·ÙÈο Î·È ÙȘ ÂÈÛً̘. ∂›¯Â ‰¿ÛηÏÔ˘˜ ÌÂÁ¿ÏÔ˘˜ÛÔÊÔ‡˜ Ù˘ ·Ú¯·ÈfiÙËÙ·˜ Î·È Ù·Í›‰Â„ ÛÙËÓ ∞Û›· Î·È ÙËÓ ∞›Á˘ÙÔfiÔ˘ ÌÂϤÙËÛ ÙËÓ ·ÈÁ˘Ùȷ΋ ÊÈÏÔÛÔÊ›·, Ù· Ì·ıËÌ·ÙÈο, ÙËÓ·ÛÙÚÔÓÔÌ›· Î·È ÙËÓ È·ÙÚÈ΋.O ¶˘ı·ÁfiÚ·˜ ¤ÌÂÈÓ ÁÓˆÛÙfi˜ ̂ ˜ Ô ¿ÓıÚˆÔ˜ Ô˘ ¤‚Ï·ÓÙÔ‡ ·ÚÈıÌÔ‡˜.
OO ¶¶˘̆ıı··ÁÁfifiÚÚ··˜̃
HH KKÔÔÚÚ››ÓÓ··
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7
OÈ‹Ú Â̂̃ ÙÔ̆ ‚È‚Ï›Ô̆˘
ÀÀ··ÙÙ››·· ËË ∞∞ÏÏÂÂÍÍ··ÓÓ‰‰ÚÚÈÈÓÓ‹‹ ((337700--441155 ÌÌ..ÃÃ..))
∏ À·Ù›· ‹Ù·Ó Ë ÚÒÙË Á˘Ó·›Î· Ì·ıËÌ·ÙÈÎfi˜ ÛÙËÓ πÛÙÔÚ›· ηÈÁÂÓÓ‹ıËΠÛÙËÓ ∞ÏÂÍ¿Ó‰ÚÂÈ·.◊Ù·Ó ÎfiÚË ÙÔ˘ ÊÈÏfiÛÔÊÔ˘ £¤ˆÓ·, ‰È¢ı˘ÓÙ‹ ÙÔ˘ ¶·ÓÂÈÛÙËÌ›Ô˘ Ù˘∞ÏÂÍ¿Ó‰ÚÂÈ·˜. °È' ·˘Ùfi ÙÔ ÏfiÁÔ Â›¯Â ÙËÓ Ù‡¯Ë Ó· ·ÔÎÙ‹ÛÂÈ ÌÈ· Û¿ÓÈ·ÌfiÚʈÛË Û ÌÈ· ÂÔ¯‹ Ô˘ Ë ı¤ÛË Ù˘ Á˘Ó·›Î·˜ ÛÙËÓ ÎÔÈÓˆÓ›· ‹Ù·ÓÔχ ‰È·ÊÔÚÂÙÈ΋ ·fi fi,ÙÈ Û‹ÌÂÚ·. ™˘Ó¤¯ÈÛ ÙȘ ÛÔ˘‰¤˜ Ù˘ ÛÙËÓ∞ı‹Ó· Î·È ÛÙË ƒÒÌË ÂÓÙ˘ˆÛÈ¿˙ÔÓÙ·˜ fiÛÔ˘˜ ÙËÓ Û˘Ó·Ó·ÛÙÚ¤ÊÔÓÙ·ÓÌ ÙÔ Ó‡̷, ÙË ÛÂÌÓfiÙËÙ·, ÙËÓ ÔÌÔÚÊÈ¿ Î·È ÙËÓ Â˘ÁψÙÙ›· Ù˘.∂ÈÛÙÚ¤ÊÔÓÙ·˜ ÛÙËÓ ∞ÏÂÍ¿Ó‰ÚÂÈ· Ôχ Û‡ÓÙÔÌ· ·Ó·‰Â›¯ıËΠÛÂÌÂÁ¿ÏË ‰·ÛοϷ Ù˘ ÊÈÏÔÛÔÊ›·˜ Î·È ÙˆÓ Ì·ıËÌ·ÙÈÎÒÓ.
HH YY··ÙÙ››··
HH XX··ÚÚ¿¿ OO °°ÈÈÒÒÚÚÁÁÔÔ˜̃
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8
¶¶ÂÚȯfiÌÂÓ·
OO ¶¶˘̆ıı··ÁÁfifiÚÚ··˜̃
HH KKÔÔÚÚ››ÓÓ··
OO °°ÈÈÒÒÚÚÁÁÔÔ˜̃
HH YY··ÙÙ››··
HH XX··ÚÚ¿¿
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9
XXÚÚˆ̂ÌÌ··ÙÙÈÈÎο¿ ÛÛ‡‡ÌÌ‚‚ÔÔÏÏ··
E·Ó¿ÏË„Ë
·ÚÈıÌÔ›
Ú¿ÍÂȘ
ÁˆÌÂÙÚ›·
ÌÂÙÚ‹ÛÂȘ
ÚÔ‚Ï‹Ì·Ù·
3344
3355
3366
3333
4411
4444
EÓfiÙËÙ· 6: ∂ÈÛ·ÁˆÁ‹ ÛÙÔ˘˜ ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜
3377
∫ÂÊ¿Ï·ÈÔ 33Ô: ¶ÔÏÏ·Ï·ÛÈ·ÛÌfi˜ Î·È ‰È·›ÚÂÛË Ì ÙÔ 10, ÙÔ 100 Î·È ÙÔ 1.000 22-23
∫ÂÊ¿Ï·ÈÔ 34Ô: ¢Âη‰Èο ÎÏ¿ÛÌ·Ù· 24-25
∫ÂÊ¿Ï·ÈÔ 35Ô: ¢Âη‰Èο ÎÏ¿ÛÌ·Ù· Î·È ‰Âη‰ÈÎÔ› ·ÚÈıÌÔ› 26-27
∫ÂÊ¿Ï·ÈÔ 36Ô: ¢Âη‰ÈÎÔ› ·ÚÈıÌÔ› 28-29
∫ÂÊ¿Ï·ÈÔ 37Ô: ¶ÚfiÛıÂÛË Î·È ·Ê·›ÚÂÛË Ì ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜ 30-31
∫ÂÊ¿Ï·ÈÔ 38Ô: ∂·Ó·ÏËÙÈÎfi Ì¿ıËÌ· 32-33
∫ÂÊ¿Ï·ÈÔ 39Ô: ∫ÚÈÙ‹ÚÈÔ ·ÍÈÔÏfiÁËÛ˘
3388
°ã ¶ÂÚ›Ô‰Ô˜
∞ÚÈıÌÔ›: ∞ÚÈıÌÔ› ̤¯ÚÈ ÙÔ 10.000. ¶Ú¿ÍÂȘ: ¶ÚÔÛı¤ÛÂȘ Î·È ·Ê·ÈÚ¤ÛÂȘ. ∞ÏÁfiÚÈıÌÔ˜ ÁÚ·ÙÔ‡
ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡. ¢È·ÈÚ¤ÛÂȘ.°ÂˆÌÂÙÚ›·: ¶·˙Ï, Ï·ÎfiÛÙÚˆÙ·, ̈۷˚ο, Û˘ÌÌÂÙÚ›·. ∂·Ó·ÏË-
ÙÈÎfi Ì¿ıËÌ· ÛÙȘ ÁˆÌÂÙÚÈΤ˜ ¤ÓÓÔȘ. ªÂÙÚ‹ÛÂȘ: ª¤ÙÚËÛË ÙÔ˘ ¯ÚfiÓÔ˘. ªÔÙ›‚·. ª¤ÙÚËÛË ÂÈÊ¿ÓÂÈ·˜.
EÓfiÙËÙ· 7: ∞ÚÈıÌÔ› ̤¯ÚÈ ÙÔ 7.000 - ª¤ÙÚËÛË Ì¿˙·˜ -¶·˙Ï, Ï·ÎfiÛÙÚˆÙ·, ̈۷˚ο, Û˘ÌÌÂÙÚ›·
4400
4422
4433
∫ÂÊ¿Ï·ÈÔ 40Ô:∞ÚÈıÌÔ› ̤¯ÚÈ ÙÔ 7.000 34-35
∫ÂÊ¿Ï·ÈÔ 41Ô: ª¤ÙÚËÛË Ì¿˙·˜ 36-37
∫ÂÊ¿Ï·ÈÔ 42Ô: ¶·˙Ï, Ï·ÎfiÛÙÚˆÙ· Î·È ÌˆÛ·˚ο 38-39
∫ÂÊ¿Ï·ÈÔ 43Ô: ∏ Û˘ÌÌÂÙÚ›· 40-41
∫ÂÊ¿Ï·ÈÔ 44Ô: ¶ÚÔ‚Ï‹Ì·Ù· 42-43
∫ÂÊ¿Ï·ÈÔ 45Ô: ∂·Ó·ÏËÙÈÎfi Ì¿ıËÌ· 44-454455
¶ÂÚȯfiÌÂÓ·
¢¢ÔÔÌÌ‹‹ ÙÙÔÔ˘̆ ‚‚ÈÈ‚‚ÏÏ››ÔÔ˘̆ 4-5
OOÈÈ ‹‹ÚÚˆ̂˜̃ ÙÙÔÔ˘̆ ‚‚ÈÈ‚‚ÏÏ››ÔÔ˘̆ 6-7
¶¶ÂÂÚÚÈȱfifiÌÌÂÂÓÓ·· 8-9
2277
2288
2299
3300
3311
3322
∫ÂÊ¿Ï·ÈÔ 30Ô:√ ·ÏÁfiÚÈıÌÔ˜ ÙÔ˘ ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡ 16-17
∫ÂÊ¿Ï·ÈÔ 31Ô:¶ÚÔ‚Ï‹Ì·Ù· 18-19
∫ÂÊ¿Ï·ÈÔ 32Ô:∂·Ó·ÏËÙÈÎfi Ì¿ıËÌ· 20-21
∫ÂÊ¿Ï·ÈÔ 27Ô:¶ÚÔÛı¤ÛÂȘ Î·È ·Ê·ÈÚ¤ÛÂȘ Ì ÙÂÙÚ·„‹ÊÈÔ˘˜ ·ÚÈıÌÔ‡˜ 10-11
∫ÂÊ¿Ï·ÈÔ 28Ô
¶ÚÔ˜ ÙÔÓ ÔÏÏ·Ï·ÛÈ·ÛÌfi (π) 12-13
∫ÂÊ¿Ï·ÈÔ 29Ô:¶ÚÔ˜ ÙÔÓ ÔÏÏ·Ï·ÛÈ·ÛÌfi (ππ) 14-15
EÓfiÙËÙ· 5: ¶ÚÔÛı¤ÛÂȘ Î·È ·Ê·ÈÚ¤ÛÂȘ - ∞ÏÁfiÚÈıÌÔ˜ ÙÔ˘ ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡
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10 1. √È Ì·ıËÙ¤˜ ‰È·‚¿˙Ô˘Ó ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘ ·ÚÔ˘ÛÈ¿˙ÔÓÙ·È ÛÙ· Ï·›ÛÈ·.
¶ÚÔÛı¤ÛÂȘ Î·È ·Ê·ÈÚ¤ÛÂȘ Ì ÙÂÙÚ·„‹ÊÈÔ˘˜ ·ÚÈıÌÔ‡˜27
22¶fiÛÔ Â›Ó·È ÂÚ›Ô˘;
11¢È·‚¿˙ˆ ÙÔ˘˜ ·Ú·Î¿Ùˆ ·ÚÈıÌÔ‡˜.
¶ÂÚÈÛÛfiÙÂÚÔ ·fi 3.000
§ÈÁfiÙÂÚÔ ·fi 3.000
33ÀÔÏÔÁ›˙ˆ ÔÚÈ˙fiÓÙÈ· Î·È Û˘ÌÏËÚÒÓˆ ÙÔ ·ÔÙ¤ÏÂÛÌ·.
1.250 +1.350 = ....
1.340 +1.340 = ....
1.111 +1.234 = ....
1.543 +1.127 = ....
3.000 - 2.450 = ....
2.567 - 1.456 = ....
2.650 - 1.300 = ....
2.875 - 1.455 = ....
1.604 + 1.340487 + 601
¶ÂÚÈÛÛfiÙÂÚÔ ·fi 1.000
§ÈÁfiÙÂÚÔ ·fi 1.000
K˘ÎÏÒÓˆ ÙÔ ÛˆÛÙfi:
22..660000 22..225500 22..776633 22..888800 22..002200 22..777777
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114. ¶ÚÔÙ›ÓÔ˘Ì ÚÔÛı¤ÛÂȘ Î·È ·Ê·ÈÚ¤ÛÂȘ ÙÂÙÚ·„‹ÊÈˆÓ ·ÚÈıÌÒÓ ·Ó¿ÏÔÁ· Ì ÙÔ Â›Â‰Ô ÙˆÓ Ì·ıËÙÒÓ.
ÂÓfiÙËÙ· 5Ë
55∂ÎÙÂÏÒ ÙȘ ·Ú·Î¿Ùˆ Ú¿ÍÂȘ. °È· Ó· ÂϤÁ͈ ·Ó ÙÔ ·ÔÙ¤ÏÂÛÌ· Â›Ó·È ÛˆÛÙfi,ÂÎÙÂÏÒ ÙËÓ ·ÓÙ›ÛÙÚÔÊË Ú¿ÍË.
44∫¿Óˆ ÙȘ Ú¿ÍÂȘ Î·È Áڿʈ ÙÔ ·ÔÙ¤ÏÂÛÌ·.
66O ‰È¿ÛËÌÔ˜ ̇ ˆÁÚ¿ÊÔ˜ ¶¿ÌÏÔ ¶ÈοÛÛÔÁÂÓÓ‹ıËΠÙÔ 1881 Î·È ¤ı·Ó ÙÔ 1973.¶fiÛ· ̄ ÚfiÓÈ· ¤˙ËÛÂ;
2 . 3 4 2- 1 . 6 8 4
. . . . . . .
1 . 6 8 4+ . . . . . . .
. . . . . . .
1 . 7 4 8+ 1 . 1 5 4
. . . . . . .
. . . . . . .- . . . . . . .
. . . . . . .
2 . 2 6 3- 1 . 2 6 5
. . . . . . .
. . . . . . .+ . . . . . . .
. . . . . . .
1 . 3 5 3+ 1 . 2 4 7
. . . . . . .
. . . . . . .- . . . . . . .
. . . . . . .
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12 1. ¶ÚÔÙ›ÓÔ˘Ì ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜ ‰Âο‰ˆÓ Î·È ÂηÙÔÓÙ¿‰ˆÓ Ì ÌÔÓÔ„‹ÊÈÔ˘˜ ·ÚÈıÌÔ‡˜, fiˆ˜ 20x4, 100x5, 40x3 ÎÙÏ.
¶ÚÔ˜ ÙÔÓ ÔÏÏÏ·Ï·ÛÈ·ÛÌfi (π)28
22
1. ∞Ó··Ú¿Áˆ ÙÔ ›‰ÈÔ Û¯‹Ì· Û ÙÂÙÚ·ÁˆÓÈṲ̂ÓÔ ̄ ·ÚÙ›. 2. ÀÔÏÔÁ›˙ˆ ÙÔÓ ·ÚÈıÌfi ÙˆÓ ÙÂÙÚ·ÁÒÓˆÓ. 3. ™˘ÌÏËÚÒÓˆ ÙËÓ ·Ú·Î¿Ùˆ ÈÛfiÙËÙ·:
.... x .... = .....
11ÀÔÏÔÁ›˙ˆ Î·È Áڿʈ Ù· ÁÈÓfiÌÂÓ·.
33ÀÔÏÔÁ›˙ˆ Ù· ·Ú·Î¿Ùˆ ÁÈÓfiÌÂÓ· Î·È Û˘ÌÏËÚÒÓˆ ÙÔ ·ÔÙ¤ÏÂÛÌ·.
10 x 9 =............
7 x 9 =............
6 x 8 =............
11 x 8 =............
10 x 10 =............
13 x 4 =............
12 x 10 =............
15 x 5 =............
20 x 10 =............
23 x 10 =............
35 x 10 =............
40 x 10 =............
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134. ¶ÚÔÙ›ÓÔ˘Ì ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜ ‰È„‹ÊÈÔ˘ Ì ÌÔÓÔ„‹ÊÈÔ ·ÚÈıÌfi, fiˆ˜ 12x6, 13x5, 22x3 ÎÙÏ.
ÂÓfiÙËÙ· 5Ë
55
ñ ¶fiÛ˜ Â›Ó·È fiϘ ÔÈ Ï¿Ì˜;¶Ò˜ ÙȘ ̤ÙÚËÛ˜;
66™˘ÌÏËÚÒÓˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Î·È ‚Ú›ÛΈ fiÛ· Â›Ó·È fiÏ· Ù· ÙÂÙÚ·ÁˆÓ¿ÎÈ·.
44ÀÔÏÔÁ›˙ˆ Î·È Áڿʈ Ù· ÁÈÓfiÌÂÓ·.
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14 1. ¶ÚÔÙ›ÓÔ˘Ì ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜ ‰È„‹ÊÈÔ˘ Ì ÌÔÓÔ„‹ÊÈÔ ·ÚÈıÌfi, fiˆ˜ 14x3, 22x4, 35x3 ÎÙÏ.
¶ÚÔ˜ ÙÔÓ ÔÏÏÏ·Ï·ÛÈ·ÛÌfi (ππ)29
22™˘ÌÏËÚÒÓˆ Ù· ÁÈÓfiÌÂÓ·ÛÙÔÓ ·Ú·Î¿Ùˆ ›Ó·Î·.
ÃÚËÛÈÌÔÔÈÒ ÙÔÓ ›Ó·Î·, ÁÈ· Ó·˘ÔÏÔÁ›Ûˆ Ù· ·Ú·Î¿Ùˆ ÁÈÓfiÌÂÓ·.
11ÀÔÏÔÁ›˙ˆ Î·È Áڿʈ Ù· ÁÈÓfiÌÂÓ·.
33ÀÔÏÔÁ›˙ˆ Ù· ÁÈÓfiÌÂÓ· fiˆ˜ ÛÙ· ·Ú·‰Â›ÁÌ·Ù·.
45 x 30 =..........
45 x 6 = ........
40 x 36 =..........
36 x 5 =..........
45 x 36 =..........
35 x 4 = (4 x 5) + (4 x 30) = 20 + 120 = 140
26 x 3 = ............................................................
42 x 5 = ............................................................
134 x 3 = ............................................................
142 x 4 = ............................................................
25 x 4 = 20 + 80 = 100
36 x 3 = ............................
64 x 5 = ............................
125 x 4 = ............................
214 x 3 = ............................
30 x 40 =......... 30 x .... = ....
6 x .... = ....
40
30
6
5
... x ... =
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154. ¶ÚÔÙ›ÓÔ˘Ì ÛÙÔ˘˜ Ì·ıËÙ¤˜ ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜ ‰Âο‰ˆÓ ‰È„‹ÊÈˆÓ ·ÚÈıÌÒÓ, fiˆ˜:20x10, 40x20, 50x30, ÎÙÏ.
ÂÓfiÙËÙ· 5Ë
55∏ ‰·ÛοϷ Ù˘ Ù¿Í˘, Ë Î˘Ú›· ÕÓÓ·, Ì·˙‡ÂÈ Ù· ̄ Ú‹Ì·Ù· ÁÈ· ÙËÓ ËÌÂÚ‹ÛÈ·ÂΉÚÔÌ‹. ™ÙËÓ Ù¿ÍË ̆ ¿Ú¯Ô˘Ó 18 ·È‰È¿. ∫¿ı ·È‰› ı· ÏËÚÒÛÂÈ 25 ¢ÚÒ. ¶fiÛ· ̄ Ú‹Ì·Ù· ı· Ì·˙¤„ÂÈ Ë Î˘Ú›· ÕÓÓ· ·fi fiÏ· Ù· ·È‰È¿ Ù˘ Ù¿Í˘;
ñ ºÙÈ¿¯Óˆ ¤Ó· ›Ó·Î·, ÁÈ· Ó· ̆ ÔÏÔÁ›Ûˆ ÙÔ ÁÈÓfiÌÂÓÔ.
ñ ™˘ÌÏËÚÒÓˆ Ù· ÁÈÓfiÌÂÓ· ̤۷ ÛÙÔÓ ›Ó·Î·.
44ÀÔÏÔÁ›˙ˆ Î·È Áڿʈ Ù· ÁÈÓfiÌÂÓ·.
66™˘ÌÏËÚÒÓˆ Ù· ÁÈÓfiÌÂÓ· ̤۷ ÛÙÔÓ ›Ó·Î·. ÃÚËÛÈÌÔÔÈÒ ÙÔÓ
›Ó·Î·, ÁÈ· Ó·˘ÔÏÔÁ›Ûˆ Ù··Ú·Î¿Ùˆ ÁÈÓfiÌÂÓ·.
156 x 20 =..........
156 x 3 =..........
156 x 23 =..........
50 x 23 =..........
100 x 23 =..........
ŸÏ· Ù· ̄ Ú‹Ì·Ù· Ô˘ ı· Ì·˙¤„ÂÈ Ë Î˘Ú›· ÕÓÓ· ›ӷÈ: ......... ¢ÚÒ.
40
20
3
50 6
...... x 100 =........ .... x .... = ......
.... x .... = ......
.... x .... =........
.... x .... = ........3 x ...... =........
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16 1. ¶ÚÔÙ›ÓÔ˘Ì ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜ ‰È„‹ÊÈÔ˘ Ì ‰Âο‰Â˜, fiˆ˜ 15x20, 22x30, 35x20, ÎÙÏ.
√ ·ÏÁfiÚÈıÌÔ˜ ÙÔ˘ ÔÏÏÏ·Ï·ÛÈ·ÛÌÔ‡30
22∂ÎÙÂÏÒ ÙÔ˘˜ ·Ú·Î¿Ùˆ ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜.
11ÀÔÏÔÁ›˙ˆ Î·È Áڿʈ Ù· ÁÈÓfiÌÂÓ·.
33™˘ÌÏËÚÒÓˆ Ù· ÁÈÓfiÌÂÓ· Ì ‚¿ÛË ÙËÓ Ú¿ÍË ÙÔ˘ ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡ ηÈÊÙÈ¿¯Óˆ ÙÔÓ ·ÓÙ›ÛÙÔÈ¯Ô ›Ó·Î· ÙÔ˘ ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡.
7 3x 5 4
2 9 2 . . . . x . . . .+ 3 6 5 0 . . . . x . . . .
3 6 5 0 . . . . x . . . .
6 5x 4 2
1 3 0 . . . . x . . . .+ 2 6 0 0 . . . . x . . . .
2 7 3 0 . . . . x . . . .
4 3x 2 5
5 2x 4 6
6 4x 5 3
7 5x 3 0
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174. ¶ÚÔÙ›ÓÔ˘Ì ÛÙÔ˘˜ Ì·ıËÙ¤˜ ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜ ‰Âο‰ˆÓ ‰È„‹ÊÈˆÓ ·ÚÈıÌÒÓ, fiˆ˜ 50x10, 30x30, 40x30 ÎÙÏ.
ÂÓfiÙËÙ· 5Ë
55µÚ›ÛΈ Ù· Ï¿ıË ÛÙÔ˘˜ ·Ú·Î¿Ùˆ ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜ Î·È Ù· ‰ÈÔÚıÒÓˆ.
44ÀÔÏÔÁ›˙ˆ Î·È Áڿʈ Ù· ÁÈÓfiÌÂÓ·.
66∫¿Ó ·˘ÙÔ‡˜ ÙÔ˘˜ ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜. ∆È ·Ú·ÙËÚ›˜;
77
1. °Ú¿Êˆ Ì ÌÔÚÊ‹ ÁÈÓÔ̤ÓÔ˘ fiÛ˜ ηڷ̤Ϙ ¤¯ÂÈ Ë ÌÈ· ηÚ٤Ϸ
.... x ....
2. ¶fiÛ˜ ηڷ̤Ϙ ¤¯ÂÈ Ì¤Û· ÙÔ ÎÔ˘Ù›;
5 3x 4 6
3 0 8+ 2 0 5 0
2 3 2 8
6 7x 5 4
2 6 8+ 3 0 5
5 6 3
7 4x 3
7 4x 6 0
7 4x 6 3
7 4x 3 6
24 ηÚ٤Ϙ
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18
¶ÚÔ‚Ï‹Ì·Ù·3111
√ Ì·Ó¿‚˘
1. O Ì·Ó¿‚˘ ÊfiÚÙˆÛ ÙȘ Ì·Ó¿Ó˜ Î·È Ù· Ì‹Ï· ÛÙÔ ÊÔÚÙËÁfi ÙÔ˘. ¶fiÛ·ÎÈÏ¿ ÊfiÚÙˆÛÂ Û˘ÓÔÏÈο ;
2. ∞Ó fiÏ· Ù· ÊÚÔ‡Ù· Ô˘ ·ÁfiÚ·ÛÂ Ô Ì·Ó¿‚˘ ̇ ˘Á›˙Ô˘Ó Û˘ÓÔÏÈο 2.500 ÎÈÏ¿,fiÛ· ÎÈÏ¿ ÎÂÚ¿ÛÈ· ·ÁfiÚ·ÛÂ;
22O ¢ËÌ‹ÙÚ˘ Î·È Ë πfiÏË ·›˙Ô˘Ó ¤Ó· ·È¯Ó›‰È Ô˘ ÎÚ¿ÙËÛ 3 Á‡ÚÔ˘˜. ªÔÚ›˜ Ó· ‚ÚÂȘ ÔÈÔ˜ ΤډÈÛ ÛÙÔ Ù¤ÏÔ˜; ¶fiÛÔÈ fiÓÙÔÈ Â›Ó·È Ë ‰È·ÊÔÚ¿ ÙÔ˘˜;
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19
ÂÓfiÙËÙ· 5Ë
44ªÂ ÙÔ˘˜ ·Ú·Î¿Ùˆ ·ÚÈıÌÔ‡˜ ÊÙÈ¿¯Óˆ ¤Ó· Úfi‚ÏËÌ· Î·È ÙÔ Ï‡Óˆ.
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
33¶fiÛ· ¯Ú˘Û¿ ÓÔÌ›ÛÌ·Ù· ¤¯ÂÈ Ô Û½¯Ë˜;
∫¿ı ÛÂÓÙÔ‡ÎÈ ¤¯ÂÈ 72 ̄ Ú˘Û¿ ÓÔÌ›ÛÌ·Ù·.∫¿ı Èı¿ÚÈ ¤¯ÂÈ 54 ̄ Ú˘Û¿ ÓÔÌ›ÛÌ·Ù·.
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20
¤¤ 123x4567+896538-72
·ӷÏËÙÈÎfiÌ¿ıËÌ·
·ӷÏËÙÈÎfi Ì¿ıË̷·ӷÏËÙÈÎfi Ì¿ıËÌ·
1. ¶ÚÔÙ›ÓÔ˘Ì ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜ ‰È„‹ÊÈˆÓ Ì ÌÔÓÔ„‹ÊÈÔ˘˜ ·ÚÈıÌÔ‡˜, fiˆ˜: 16x5, 27x3, 33x3 ÎÙÏ.
3211
ÀÔÏÔÁ›˙ˆ Î·È Áڿʈ Ù· ÁÈÓfiÌÂÓ·.
22™˘ÌÏËÚÒÓˆ Ù· ÎÂÓ¿ Ì ·ÚÈıÌÔ‡˜ ‹ ·ÚÈıÌÔϤÍÂȘ.
331. ÀÔÏÔÁ›˙ˆ ÙÔ ÁÈÓfiÌÂÓÔ 23x17.
∂Ȃ‚·ÈÒÓˆ ÙÔ ·ÔÙ¤ÏÂÛÌ· Ì ÙËÓ ·ÚÈıÌÔÌ˯·Ó‹.
2. ÃÚËÛÈÌÔÔÈÒ ÙÔ ·ÔÙ¤ÏÂÛÌ· ÙÔ˘ ÚÔËÁÔ‡ÌÂÓÔ˘ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡, ÁÈ· Ó· ̆ ÔÏÔÁ›Ûˆ Ù· ·Ú·Î¿ÙˆÁÈÓfiÌÂÓ·. ÀÔÏÔÁ›˙ˆ Ù· ÁÈÓfiÌÂÓ· ·˘Ù¿, ̄ ˆÚ›˜ Ó· οӈÔÏÏ·Ï·ÛÈ·ÛÌfi Î·È ̄ ˆÚ›˜ ·ÚÈıÌÔÌ˯·Ó‹.
23 x 18 24 x 17 23 x 170
‰‡Ô ̄ ÈÏÈ¿‰Â˜ ÂÍ·ÎfiÛÈ· Û·Ú¿ÓÙ· ‰‡Ô
1.540
‰‡Ô ̄ ÈÏÈ¿‰Â˜ ‰¤Î· ÂÙ¿
2.305
‰‡Ô ̄ ÈÏÈ¿‰Â˜ ¤Ó·
∂Ȃ‚·ÈÒÓˆ ÙÔ ·ÔÙ¤ÏÂÛÌ· Ì ÙËÓ ·ÚÈıÌÔÌ˯·Ó‹.
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214. ¶ÚÔÙ›ÓÔ˘Ì ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜ ‰È„‹ÊÈÔ˘ Ì ‰Âο‰Â˜, fiˆ˜ 13x20, 33x30, 25x30 ÎÙÏ.
44ÀÔÏÔÁ›˙ˆ Î·È Áڿʈ Ù· ÁÈÓfiÌÂÓ·.
55∫¿Óˆ ÙÔ˘˜ ·Ú·Î¿Ùˆ ÔÏÏ·Ï·ÛÈ·ÛÌÔ‡˜.
1. ¶ÔÈ· Â›Ó·È Ù· ‰‡Ô „ËÏfiÙÂÚ· ‚Ô˘Ó¿ ÛÙÔ ‰ÈÏ·Ófi ›Ó·Î·;
...............................................................∆È ‰È·ÊÔÚ¿ ‡„Ô˘˜ ¤¯Ô˘Ó ÌÂٷ͇ ÙÔ˘˜Ù· ‰‡Ô ·˘Ù¿ ‚Ô˘Ó¿;
...............................................................2. ¶fiÛÔ ÈÔ „ËÏfi˜ Â›Ó·È Ô ŸÏ˘ÌÔ˜
·fi ÙÔ µfiÚ·; ................................................................
66
8-72x15
µÔ˘Ó¿ Ù˘ ∂ÏÏ¿‰·˜
5 4x 3 5
6 8x 4 3
8 7x 4 0
8 9x 7 6
ŸÓÔÌ· ⁄„Ô˜
BfiÚ·˜ 2.524°Ú¿ÌÌÔ˜ 2.523°ÎÈÒÓ·˜ 2.507ŸÏ˘ÌÔ˜ 2.917™ÌfiÏÈη˜ 2.637
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1. √ ‰¿ÛηÏÔ˜ ÚÔÙ›ÓÂÈ ‰È·ÈÚ¤ÛÂȘ ‰Âο‰ˆÓ Î·È ÂηÙÔÓÙ¿‰ˆÓ Ì ÙÔ 10 Î·È ÙÔ 100, fiˆ˜ 30:10, 500:10, 400:100 Î.Ï.
22
¶ÔÏÏ·Ï·ÛÈ·ÛÌfi˜ Î·È ‰È·›ÚÂÛË Ì ÙÔ 10, ÙÔ 100 Î·È ÙÔ 1.00033
22
1) ¶fiÛ· ÙÂÏ¿Ú· ı· ÁÂÌ›ÛÔ˘Ó Ì ٷ 400 Ì‹Ï·;
11µÚ›ÛΈ ÙÔ ·ÔÙ¤ÏÂÛÌ· Î·È Áڿʈ ÙË ‰È·›ÚÂÛË.
33∫¿Óˆ ÙȘ ·Ú·Î¿Ùˆ Ú¿ÍÂȘ Î·È Û˘ÌÏËÚÒÓˆ ÙÔ ·ÔÙ¤ÏÂÛÌ·.
16 x 10 =..........
160 : 10 = ........
89 x 10 =..........
143 x 10 =..........
14 x 100 =..........
1.400 : 100 = ........
27 x 100 =..........
3 x 1.000=
40 : 10 =..........
2.500 : 100= ........
1.580 : 10 =..........
2.300 : 10 =..........
™Â ¤Ó· ·ÁÚfiÎÙËÌ· ÔÈ ÂÚÁ¿Ù˜ Ì·˙Â‡Ô˘Ó 400 Ì‹Ï·. ™ÙË Û˘Ó¤¯ÂÈ· Ù· Û˘Û΢¿˙Ô˘ÓÛ ÙÂÏ¿Ú· ÙˆÓ 10 Ì‹ÏˆÓ Î·È Ù· ÙÂÏ¿Ú· Ù· ÙÔÔıÂÙÔ‡Ó Û ÛًϘ ÙˆÓ 10.
2) ¶fiÛ˜ ÛÂÈÚ¤˜ ÙˆÓ 10 ÙÂÏ¿ÚˆÓı· ‰ËÌÈÔ˘ÚÁËıÔ‡Ó;
![Page 23: ΤΕΤΡ ΕΡΓ](https://reader031.vdocuments.pub/reader031/viewer/2022020421/568bf14e1a28ab893392ae47/html5/thumbnails/23.jpg)
23
ÂÓfiÙËÙ· 5Ë
55¶fiÛ˜ Â›Ó·È fiϘ ÔÈ Î·ÚÊ›ÙÛ˜ ̤۷ ÛÙ· ÎÔ˘ÙÈ¿;
°Ú¿Êˆ ÙËÓ Ú¿ÍË Î·È ‰ÈηÈÔÏÔÁÒ ÙËÓ ·¿ÓÙËÛË.
44∏ ∫ÔÚ›Ó· οÓÂÈ ·ÔÙ·Ì›Â˘ÛË Î·È Ì·˙‡ÂÈ ̄ ·ÚÙÔÓÔÌ›ÛÌ·Ù· ÙˆÓ 10 ¢ÚÒ.
∏ ∫ÔÚ›Ó· ËÁ·›ÓÂÈ ÛÙËÓ ÙÚ¿Â˙·Ù· ÏÂÊÙ¿ Ô˘ ¤¯ÂÈ Ì·˙¤„ÂÈ, ÁÈ· Ó·Ù· ·ÓÙ·ÏÏ¿ÍÂÈ Ì ̄ ·ÚÙÔÓÔÌ›ÛÌ·Ù·ÙˆÓ 100 ¢ÚÒ.
¶fiÛ· ̄ ·ÚÙÔÓÔÌ›ÛÌ·Ù· ÙˆÓ 100 ¢ÚÒ ı· ¿ÚÂÈ;
Œ¯ÂÈ Ì·˙¤„ÂÈ ÛÙÔÓ ÎÔ˘Ì·Ú¿ 70¯·ÚÙÔÓÔÌ›ÛÌ·Ù· ÙˆÓ 10 ¢ÚÒ.
¶fiÛ· ¢ÚÒ ¤¯ÂÈ Ì·˙¤„ÂÈ Û˘ÓÔÏÈο;
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1. √ ‰¿ÛηÏÔ˜ ÚÔÙ›ÓÂÈ ‰È·ÈÚ¤ÛÂȘ ÛÙÚÔÁÁ˘ÏÒÓ ‰Âο‰ˆÓ Î·È ÂηÙÔÓÙ¿‰ˆÓ Ì ÙÔ 10 Î·È ÙÔ 100, fiˆ˜ 30:10, 500:10, 400:100 Î.Ï.
24
11
¢Âη‰Èο ÎÏ¿ÛÌ·Ù· 34ñ ¶fiÛ· ‰¤Î·Ù· ˘¿Ú¯Ô˘Ó Û ÌÈ· ÌÔÓ¿‰·;...................................................
ñ ¶fiÛ· ÂηÙÔÛÙ¿ ˘¿Ú¯Ô˘Ó Û ÌÈ· ÌÔÓ¿‰·;...............................................
ñ ¶fiÛ· ÂηÙÔÛÙ¿ ˘¿Ú¯Ô˘Ó Û ¤Ó· ‰¤Î·ÙÔ;...............................................
ñ ¶fiÛ· ̄ ÈÏÈÔÛÙ¿ ˘¿Ú¯Ô˘Ó Û ÌÈ· ÌÔÓ¿‰·; .................................................
ñ ¶fiÛ· ̄ ÈÏÈÔÛÙ¿ ˘¿Ú¯Ô˘Ó Û ¤Ó· ÂηÙÔÛÙfi;.............................................
221) ∂¿Óˆ ÛÙËÓ Â˘ı›· ÙÔÔıÂÙÒ Ù· ÛËÌ›· µ, °, Î·È ¢ ¤ÙÛÈ ÒÛÙÂ:
33°Ú¿Êˆ ÙÔÓ ·Ì¤Ûˆ˜ ÌÈÎÚfiÙÂÚÔ Î·È ÙÔÓ ·Ì¤Ûˆ˜ ÌÂÁ·Ï‡ÙÂÚÔ Ê˘ÛÈÎfi ·ÚÈıÌfi·fi Ù· ·Ú·Î¿Ùˆ ÎÏ¿ÛÌ·Ù·:
2) ™˘ÌÏËÚÒÓˆ ÛÙ· ÙÂÙÚ¿ÁˆÓ· ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘ Ï›ԢÓ.
3810___3 < < 4
6410___.... < < ....
24610
____.... < < ....
710___.... < < ....
428100____.... < < ....
1.23810
_____.... < < ....
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25
ÂÓfiÙËÙ· 5Ë
55ÀÔÏÔÁ›˙ˆ Î·È Û˘ÌÏËÚÒÓˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜.
44
¶Ò˜ ÌÔÚÒ Ó· ÁÚ¿„ˆ Û ¿ıÚÔÈÛÌ· ÌÔÓ¿‰ˆÓ Î·È ‰Âη‰ÈÎÒÓ ÎÏ·ÛÌ¿ÙˆÓÙ· ·Ú·Î¿Ùˆ ÔÛ¿;
O ¶˘ı·ÁfiÚ·˜ ̆ ÔÏÔÁ›˙ÂÈ Ù· ÓÔÌ›ÛÌ·Ù·.
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1. √ ‰¿ÛηÏÔ˜ ÚÔÙ›ÓÂÈ ‰Âη‰Èο ÎÏ¿ÛÌ·Ù· Ù· ÔÔ›· ÔÈ Ì·ıËÙ¤˜ ÁÚ¿ÊÔ˘Ó Ì¤Û· ÛÙ· Ï·›ÛÈ· Î·È Ù· ÌÂÙ·ÙÚ¤Ô˘Ó Û ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜.
26
22ªÂ ÙË ‚Ô‹ıÂÈ· Ù˘ ·ÚÈıÌÔÌ˯·Ó‹˜ Û˘ÌÏ‹ÚˆÛ ÙÔÓ ·Ú·Î¿Ùˆ ›Ó·Î·:
¢Âη‰Èο ÎÏ¿ÛÌ·Ù· Î·È ‰Âη‰ÈÎÔ› ·ÚÈıÌÔ› 35
11ªÂÙ·ÙÚ¤ˆ ‰Âη‰Èο ÎÏ¿ÛÌ·Ù· Û ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜.
33™˘ÌÏËÚÒÓˆ ÙÔ˘˜ ›Ó·Î˜.
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4. √ ‰¿ÛηÏÔ˜ ÚÔÙ›ÓÂÈ ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜ Î·È ÔÈ Ì·ıËÙ¤˜ ÙÔ˘˜ ÁÚ¿ÊÔ˘Ó Î·È ÙÔ˘˜ ‰È·‚¿˙Ô˘Ó. 27
ÂÓfiÙËÙ· 6Ë
55™˘ÌÏËÚÒÓˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Î·È ÙȘ ·ÚÈıÌÔϤÍÂȘ.
TÚÂȘ ÌÔÓ¿‰Â˜ Î·È ‰‡Ô ‰¤Î·Ù·
ŒÍÈ ÌÔÓ¿‰Â˜ Î·È Â›ÎÔÛÈ ÙÚ›· ÂηÙÔÛÙ¿
¢¤Î· ÔÎÙÒ ÌÔÓ¿‰Â˜ Î·È ÙÚ›· ÂηÙÔÛÙ¿
¶ÂÓ‹ÓÙ· ¤ÍÈ ÌÔÓ¿‰Â˜ Î·È ÂÙ¿ ‰¤Î·Ù·Î·È ¤ÓÙ ÂηÙÔÛÙ¿
44°Ú¿Êˆ Î·È ‰È·‚¿˙ˆ ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜.
66µÚ›ÛΈ Î·È Û¯Â‰È¿˙ˆ Ù· ÓÔÌ›ÛÌ·Ù·.
0,36
10,7
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1. √ ‰¿ÛηÏÔ˜ ÚÔÙ›ÓÂÈ ÔÛ¿ Û ¢ÚÒ Î·È ÔÈ Ì·ıËÙ¤˜ Ù· ÁÚ¿ÊÔ˘Ó Ì¤Û· ÛÙ· Ï·›ÛÈ· Ì ÌÔÚÊ‹ ‰Âη‰ÈÎÒÓ ·ÚÈıÌÒÓ.
28
22∂ÓÒÓˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ì ÙË ÛÂÈÚ¿, ÁÈ· Ó· Û¯ËÌ·Ù›Ûˆ ÙËÓ ÂÈÎfiÓ·.
¢Âη‰ÈÎÔ› ·ÚÈıÌÔ›3611
°Ú¿Êˆ Ù· ÔÛ¿ ÙˆÓ Â˘ÚÒ Ì ·ÚÈıÌÔ‡˜.
33∆ÔÔıÂÙÒ ÙËÓ ̆ ԉȷÛÙÔÏ‹ ÛÙÔ˘˜ ·Ú·Î¿Ùˆ ·ÚÈıÌÔ‡˜ Ì ٤ÙÔÈÔÓ ÙÚfiÔ,ÒÛÙÂ Ô ·ÚÈıÌfi˜ 4 Ó· Â›Ó·È ÙÔ „ËÊ›Ô Ô˘ ‰Â›¯ÓÂÈ Ù· ‰¤Î·Ù· ÛÙÔÓ Î¿ı ·ÚÈıÌfi.
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4. √ ‰¿ÛηÏÔ˜ ÚÔÙ›ÓÂÈ ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜ Î·È ÔÈ Ì·ıËÙ¤˜ ÙÔ˘˜ ÁÚ¿ÊÔ˘Ó Ì¤Û· ÛÙ· Ï·›ÛÈ·. 29
ÂÓfiÙËÙ· 6Ë
55¶·Ú·ÙËÚÒ ÙË ÛÂÈÚ¿ ÙˆÓ ·ÚÈıÌÒÓ Î·È Û˘ÌÏËÚÒÓˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘ Ï›ԢÓ.
66µÚ›ÛΈ Î·È Û˘ÌÏËÚÒÓˆ ÙÔÓ ·ÚÈıÌfi.
77¶fiÛÔ ˘ÚÂÙfi ¤¯ÂÈ Ô ¶¤ÙÚÔ˜;
.....................................................................................................
44°Ú¿Êˆ ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜.
3,6 < ........< 4
0,3 <........< 0,4
25 <........< 26
25,5 <........< 26,5
7,9 < ........< 8
7,09 <........< 8
0,1 <........< 0,3
0,60 <........< 0,70
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1. ¶ÚÔÙ›ÓÔ˘Ì ÚÔÛı¤ÛÂȘ Î·È ·Ê·ÈÚ¤ÛÂȘ Ì ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜ ÙˆÓ ÔÔ›ˆÓ ÙÔ ‰Âη‰ÈÎfi ̤ÚÔ˜ Â›Ó·È ÙÔ ÌÈÛfi. °È· ·Ú¿‰ÂÈÁÌ·, ÌÔÚԇ̠ӷ ÚÔÙ›ÓÔ˘Ì ڿÍÂȘ fiˆ˜: 3,5 + 4,5, 9 - 4,5 Î.Ï.
30
¶ÚfiÛıÂÛË Î·È ·Ê·›ÚÂÛË Ì ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜37
22∆ÔÔıÂÙÒ Î¿ıÂÙ· ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Î·È Î¿Óˆ ÙȘ ·Ú·Î¿Ùˆ Ú¿ÍÂȘ:
11∫¿Óˆ ÙȘ Ú¿ÍÂȘ Î·È Áڿʈ ÙÔ ·ÔÙ¤ÏÂÛÌ·.
331. ¶fiÛ· ÂηÙÔÛÙ¿ ÎÔÚ‰¤Ï· ̄ ÚËÛÈÌÔÔÈ‹ıËÎÂ
Û οı ‰ÒÚÔ;
..........................................................................
2. ¶fiÛË ÎÔÚ‰¤Ï· ̄ ÚËÛÈÌÔÔÈ‹ıËÎÂ Î·È ÁÈ· Ù·‰‡Ô ‰ÒÚ· Ì·˙›;
..........................................................................
3. ¶fiÛË ÂÚÈÛÛfiÙÂÚË ÎÔÚ‰¤Ï·¯ÚËÛÈÌÔÔÈ‹ıËΠÁÈ· ÙÔ ÎfiÎÎÈÓÔ ÎÔ˘Ù›;
..........................................................................
25,36 + 13,42 8,65 - 3,46 17,26 + 0,02 4,75 - 0,03 4,2 - 3,6
22,,6655 Ì̤¤ÙÙÚÚ··
11,,2244 Ì̤¤ÙÙÚÚ··
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4. ¶ÚÔÙ›ÓÔ˘Ì ·Ï¤˜ ÚÔÛı¤ÛÂȘ Î·È ·Ê·ÈÚ¤ÛÂȘ Ì ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜ ¯ˆÚ›˜ ÎÚ·ÙÔ‡ÌÂÓ·. °È· ·Ú¿‰ÂÈÁÌ·, ÌÔÚԇ̠ӷ ÚÔÙ›ÓÔ˘Ì ڿÍÂȘ fiˆ˜: 2,5 + 4,3, 9,3-5,3 Î.Ï
31
ÂÓfiÙËÙ· 6Ë
55µÚ›ÛΈ Î·È Î˘ÎÏÒÓˆ ÙËÓ ·¿ÓÙËÛË Ô˘ Ê·›ÓÂÙ·È Ó· Â›Ó·È ÈÔ ÎÔÓÙ¿ ÛÙÔ ÛˆÛÙfi ·ÔÙ¤ÏÂÛÌ·.
44∫¿Óˆ ÙȘ Ú¿ÍÂȘ Î·È Áڿʈ ÙÔ ·ÔÙ¤ÏÂÛÌ·.
66ªÂ ÔÈÔ‡˜ Û˘Ó‰˘·ÛÌÔ‡˜ ÌÔÚԇ̠ӷ ‚Úԇ̠ÙÔ ¿ıÚÔÈÛÌ· 0,9¯ÚËÛÈÌÔÔÈÒÓÙ·˜ ÙÚÂȘ οÚÙ˜;
18,21 + 31,67
490
35,62 - 14,31
55 498 49 210 2130 21 25
6,42 + 15,3
790
7,43 - 0,17
79 21 210 730 7 74 73
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¤¤ 123x4567+896538-72
·ӷÏËÙÈÎfiÌ¿ıËÌ·
·ӷÏËÙÈÎfi Ì¿ıË̷·ӷÏËÙÈÎfi Ì¿ıËÌ·
1. √ ‰¿ÛηÏÔ˜ ÚÔÙ›ÓÂÈ ‰Âη‰Èο ÎÏ¿ÛÌ·Ù· Ù· ÔÔ›· ÔÈ Ì·ıËÙ¤˜ ÁÚ¿ÊÔ˘Ó Ì¤Û· ÛÙ·Ï·›ÛÈ· Î·È Ù· ÌÂÙ·ÙÚ¤Ô˘Ó Û ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜.
32
™¯Â‰È¿˙ˆ 10 ·ÓıÚˆ¿ÎÈ·. µ¿˙ˆ η¤ÏÔ ÛÙ· ·fi ·˘Ù¿.
™¯Â‰È¿˙ˆ Á¤ÓÈ· ÛÙ· ·fi ·˘Ù¿. ™¯Â‰È¿˙ˆ ¤Ó· Í›ÊÔ˜ ÛÙ· ·fi ·˘Ù¿.
3811
ªÂÙ·ÙÚ¤ˆ ‰Âη‰Èο ÎÏ¿ÛÌ·Ù· Û ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜.
22
33∆ÔÔıÂÙÒ ÙÔ˘˜ ·Ú·Î¿Ùˆ ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜ ¿ӈ ÛÙËÓ ·ÚÈıÌÔÁÚ·ÌÌ‹:
1,5 1,8 0,3 2,4 6,7 8,1 9,9
610___
410___ 5
10___
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4. √ ‰¿ÛηÏÔ˜ ÚÔÙ›ÓÂÈ ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜ Î·È ÔÈ Ì·ıËÙ¤˜ ÙÔ‡˜ ÁÚ¿ÊÔ˘Ó Î·È ÙÔ‡˜ ‰È·‚¿˙Ô˘Ó. 33
44°Ú¿Êˆ Î·È ‰È·‚¿˙ˆ ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜.
55µÚ›ÛΈ ÙÔ Û˘ÓÔÏÈÎfi ÔÛfi Î·È ÙÔ Áڿʈ Ì ‰Âη‰ÈÎfi ·ÚÈıÌfi:
66ªÂÙ·ÙÚ¤ˆ ÙÔ˘˜ ‰Âη‰ÈÎÔ‡˜ ·ÚÈıÌÔ‡˜ Û ‰Âη‰Èο ÎÏ¿ÛÌ·Ù·:
8-72x15
348100____3,48 = 14,25 = 0,4 = 0,32 =
5,08 = 0,326 = 0,05 = 0,001 =
EE˘̆ÚÚÒÒ EE˘̆ÚÚÒÒ EE˘̆ÚÚÒÒ
EE˘̆ÚÚÒÒ EE˘̆ÚÚÒÒ EE˘̆ÚÚÒÒ
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1. √ ‰¿ÛηÏÔ˜ ˘·ÁÔÚ‡ÂÈ ÚÔÊÔÚÈο ÙÂÙÚ·„‹ÊÈÔ˘˜ ·ÚÈıÌÔ‡˜ ̤¯ÚÈ ÙÔ 7.000 Î·È ÔÈÌ·ıËÙ¤˜ ÙÔ˘˜ ÁÚ¿ÊÔ˘Ó Ì¤Û· ÛÙ· Ï·›ÛÈ·.
34
22™˘ÌÏËÚÒÓˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Î·È ÙȘ „ËÊ›‰Â˜ ÛÙÔ˘˜ ¿‚·Î˜.
∞ÚÈıÌÔ› ̤¯ÚÈ ÙÔ 7.0004011
°Ú¿Êˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜.
33¶ÔÈÔ˜ ·ÚÈıÌfi˜ Â›Ó·È Ô ÌÂÁ·Ï‡ÙÂÚÔ˜; ¶ÔÈÔ˜ Â›Ó·È Ô ÌÈÎÚfiÙÂÚÔ˜;
O ÌÂÁ·Ï‡ÙÂÚÔ˜ Â›Ó·È Ô ..................
O ÌÈÎÚfiÙÂÚÔ˜ Â›Ó·È Ô ......................
4400880044000088
44880000
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35
ÂÓfiÙËÙ· 7Ë
55¢È·‚¿˙ˆ ÙȘ ÏËÚÔÊÔڛ˜ Î·È Û˘ÌÏËÚÒÓˆ Ù· ÔÓfiÌ·Ù· ÙˆÓ ‰‹ÌˆÓ ÛÙËÛˆÛÙ‹ ı¤ÛË ÛÙÔ ‰È¿ÁÚ·ÌÌ·.
O ¢‹ÌÔ˜ ªËÏÈ¿˜ ¤¯ÂÈ 3.245 ηÙÔ›ÎÔ˘˜.O ¢‹ÌÔ˜ ¶Ï·Ù¿ÓÔ˘ ¤¯ÂÈ 3.524 ηÙÔ›ÎÔ˘˜.O ¢‹ÌÔ˜ ƒÔ‰È¿˜ ¤¯ÂÈ 4.352 ηÙÔ›ÎÔ˘˜.
44¶ÔÈÔ˘˜ ·ÚÈıÌÔ‡˜ ÌÔÚÒ Ó· Û¯ËÌ·Ù›Ûˆ Ì ٷ ·Ú·Î¿Ùˆ 4 „ËÊ›·;
ñ ¶ÔÈÔ˜ Â›Ó·È Ô ÌÈÎÚfiÙÂÚÔ˜ ·ÚÈıÌfi˜ Ô˘ ÌÔÚÒ Ó· Û¯ËÌ·Ù›Ûˆ Ì ٷ 4 „ËÊ›·;
∞∞¿¿ÓÓÙÙËËÛÛËË:: ...................................................................................................
ñ ¶ÔÈÔ˜ Â›Ó·È Ô ÌÂÁ·Ï‡ÙÂÚÔ˜ ·ÚÈıÌfi˜ Ô˘ ÌÔÚÒ Ó· Û¯ËÌ·Ù›Ûˆ Ì ٷ 4 „ËÊ›·;
∞∞¿¿ÓÓÙÙËËÛÛËË:: ...................................................................................................
.................................................................................................................................
.................................................................................................................................
.................................................................................................................................
22 11 44 66
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36
ª¤ÙÚËÛË Ì¿˙·˜4111
¶fiÛ· ÎÈÏ¿ ›۷È;
∂›Ì·È .......... ÎÈÏ¿.O ‰ÈÏ·Ófi˜ ÌÔ˘ ›ӷÈ........ ÎÈÏ¿.
22µ¿Ï ¤Ó· ✔ ÛÙȘ ÂÈÎfiÓ˜ Ô˘ ÛÔ˘ Ê·›ÓÔÓÙ·È ÛˆÛÙ¤˜
¶ÔÈÔ˜ ̇ ˘Á›˙ÂÈ ÂÚÈÛÛfiÙÂÚ· ÎÈÏ¿; ∂Û‡ ‹ Ô ‰ÈÏ·Ófi˜ ÛÔ˘;µ¿Ï ٷ ÔÓfiÌ·Ù¿ Û·˜ ÛÙË ÛˆÛÙ‹ ı¤ÛË ÛÙËÓ ÙÚ·Ì¿Ï·.
°Ú¿„ ÙÈ ¤‰ÂÈÍÂ Ë ̇ ˘Á·ÚÈ¿.
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37
ÂÓfiÙËÙ· 7Ë
44√ ÃÔÓÙÚfi˜ Î·È Ô §ÈÁÓfi˜
O ÃÔÓÙÚfi˜ Î·È Ô §ÈÁÓfi˜ Ì·˙› ̇ ˘Á›˙Ô˘Ó 164 ÎÈÏ¿.O ÃÔÓÙÚfi˜ ̇ ˘Á›˙ÂÈ 106 ÎÈÏ¿.¶fiÛ· ÎÈÏ¿ ̇ ˘Á›˙ÂÈ Ô §ÈÁÓfi˜;
.............................................................................
.............................................................................
55¶fiÛÔ ̇ ˘Á›˙ÂÈ ÙÔ Î·ı¤Ó·; ™¯Â‰È¿˙ˆ ÙÔ ‰Â›ÎÙË ÛÙË ̇ ˘Á·ÚÈ¿.
33ŸÏ· Ù· ÎÔ˘ÙÈ¿ ¤¯Ô˘Ó ÙÔ ›‰ÈÔ Ì¤ÁÂıÔ˜.¶ÔÈÔ Â›Ó·È ‚·Ú‡ÙÂÚÔ;°Ú¿„ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ ÛÙË ÛÂÈÚ¿, ·fi ÙÔ ‚·Ú‡ÙÂÚÔ ÛÙÔ ÂÏ·ÊÚ‡ÙÂÚÔ.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Ποπ κορν Άδειο Bότσαλα
1 2 3 4
Zάχαρη
1 ÎÈÏfi 700 ÁÚ. 150 ÁÚ.
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¶·˙Ï, Ï·ÎfiÛÙÚˆÙ· Î·È ÌˆÛ·˚ο 4211
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55∫¿ÔÈ· ÎÂÊ·Ï·›· ÁÚ¿ÌÌ·Ù· Ù˘ ·ÏÊ·‚‹ÙÔ˘ ¤¯Ô˘Ó ¤Ó·Ó ηٷÎfiÚ˘ÊÔ ¿ÍÔÓ·Û˘ÌÌÂÙÚ›·˜, fiˆ˜ ÙÔ ∞. ∫¿ÔÈ· ¤¯Ô˘Ó ¤Ó·Ó ÔÚÈ˙fiÓÙÈÔ, fiˆ˜ ÙÔ µ, Î·È Î¿ÔÈ·¤¯Ô˘Ó Î·È Î·Ù·ÎfiÚ˘ÊÔ ÎÈ ÔÚÈ˙fiÓÙÈÔ ¿ÍÔÓ·, fiˆ˜ ÙÔ ∏. µÚ˜ Î·È ̄ ¿Ú·Í ÙÔ˘˜¿ÍÔÓ˜ Û˘ÌÌÂÙÚ›·˜ ÛÙ· ·Ú·Î¿Ùˆ ÁÚ¿ÌÌ·Ù·.
44™˘ÌÏËÚÒÓˆ Ù· Û¯‹Ì·Ù·, ÁÈ· Ó· Á›ÓÔ˘Ó Û˘ÌÌÂÙÚÈο.
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33¢È·‚¿˙ˆ ÙȘ ÏËÚÔÊÔڛ˜ Î·È Û˘ÌÏËÚÒÓˆ ÛÙÔ ‰È¿ÁÚ·ÌÌ· ÙÔ˘˜ÏËı˘ÛÌÔ‡˜ ÙˆÓ ‰‹ÌˆÓ.
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∞ÓÙÈÛÙÔȯ›˙ˆ Ì ÌÈ· ÁÚ·ÌÌ‹ ÙȘ ËÏÂÎÙÚÔÓÈΤ˜ Ì ÙȘ ·Ú·‰ÔÛȷΤ˜ ̇ ˘Á·ÚȤ˜.
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ªÂ ·fiÊ·ÛË Ù˘ ∂ÏÏËÓÈ΋˜ ∫˘‚¤ÚÓËÛ˘ Ù· ‰È‰·ÎÙÈο ‚È‚Ï›· ÙÔ˘¢ËÌÔÙÈÎÔ‡, ÙÔ˘ °˘ÌÓ·Û›Ô˘ Î·È ÙÔ˘ §˘Î›Ԣ Ù˘ÒÓÔÓÙ·È ·fi ÙÔÓ√ÚÁ·ÓÈÛÌfi ∂ΉfiÛˆ˜ ¢È‰·ÎÙÈÎÒÓ µÈ‚Ï›ˆÓ Î·È ‰È·Ó¤ÌÔÓÙ·È ‰ˆÚÂ-¿Ó ÛÙ· ¢ËÌfiÛÈ· ™¯ÔÏ›·. ∆· ‚È‚Ï›· ÌÔÚ› Ó· ‰È·Ù›ıÂÓÙ·È ÚÔ˜ÒÏËÛË, fiÙ·Ó Ê¤ÚÔ˘Ó ‚È‚ÏÈfiÛËÌÔ ÚÔ˜ ·fi‰ÂÈÍË Ù˘ ÁÓËÛÈfiÙË-Ù¿˜ ÙÔ˘˜. ∫¿ı ·ÓÙ›Ù˘Ô Ô˘ ‰È·Ù›ıÂÙ·È ÚÔ˜ ÒÏËÛË Î·È ‰Â ʤÚÂÈ‚È‚ÏÈfiÛËÌÔ ıˆÚÂ›Ù·È ÎÏ„›Ù˘Ô Î·È Ô ·Ú·‚¿Ù˘ ‰ÈÒÎÂÙ·È Û‡Ì-ʈӷ Ì ÙȘ ‰È·Ù¿ÍÂȘ ÙÔ˘ ¿ÚıÚÔ˘ 7 ÙÔ˘ ¡fiÌÔ˘ 1129 Ù˘ 15/21ª·ÚÙ›Ô˘ 1946 (º∂∫ 1946, 108, ∞ã).
∞·ÁÔÚ‡ÂÙ·È Ë ·Ó··Ú·ÁˆÁ‹ ÔÔÈÔ˘‰‹ÔÙ ÙÌ‹Ì·ÙÔ˜ ·˘ÙÔ‡ ÙÔ˘ ‚È‚Ï›Ô˘, Ô˘Î·Ï‡ÙÂÙ·È ·fi ‰ÈηÈÒÌ·Ù· (copyright), ‹ Ë ¯Ú‹ÛË ÙÔ˘ Û ÔÔÈ·‰‹ÔÙ ÌÔÚÊ‹, ¯ˆÚ›˜ÙË ÁÚ·Ù‹ ¿‰ÂÈ· ÙÔ˘ ¶·È‰·ÁˆÁÈÎÔ‡ πÓÛÙÈÙÔ‡ÙÔ˘.
BIB§IO™HMO