tetradio 4
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M·ıËÌ·ÙÈο Bã¢ËÌÔÙÈÎÔ‡
TÂÙÚ¿‰ÈÔ ÂÚÁ·ÛÈÒÓ
‰ã Ù‡¯Ô˜
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™À°°ƒ∞º∂π™ °ÈÒÚÁÔ˜ ∫·ÚÁȈٿ΢, ∂Î·È‰Â˘ÙÈÎfi˜∞ÏÂÍ¿Ó‰Ú· ª·Ú·ÁÎÔ‡, ∂Î·È‰Â˘ÙÈÎfi˜¡·Ù¿ÛÛ· ªÂÏ›ÙÛÔ˘, ∂Î·È‰Â˘ÙÈÎfi˜µ·ÛÈÏÈ΋ ™ÔÊÔ‡, ∂Î·È‰Â˘ÙÈÎfi˜
∫ƒπ∆∂™-∞•π√§√°∏∆∂™ ª·Ú›· ¡ÈÎÔϷοÎË, §¤ÎÙÔÚ·˜ ÙÔ˘ ¶·ÓÂÈÛÙËÌ›Ô˘ £ÂÛÛ·Ï›·˜™Ù¤Ê·ÓÔ˜ ¶··ÛÙÂÚÁÈfiÔ˘ÏÔ˜, ™¯ÔÏÈÎfi˜ ™‡Ì‚Ô˘ÏÔ˜ªÈ¯·‹Ï ™Î·ÏÔ¯ˆÚ›Ù˘, ∂Î·È‰Â˘ÙÈÎfi˜
∂π∫√¡√°ƒ∞º∏™∏ ™ÔÊ›· ∆Ô˘ÏÈ¿ÙÔ˘, ™ÎÈÙÛÔÁÚ¿ÊÔ˜ - ∂ÈÎÔÓÔÁÚ¿ÊÔ˜
ºπ§√§√°π∫∏ ∂¶πª∂§∂π∞ O ·Ó¿‰Ô¯Ô˜ Ù˘ Û˘ÁÁÚ·Ê‹˜
À¶∂À£À¡√™ ∆√À ª∞£∏ª∞∆√™∫∞∆∞ ∆∏ ™À°°ƒ∞º∏ °ÂÒÚÁÈÔ˜ ∆‡·˜, ªfiÓÈÌÔ˜ ¶¿Ú‰ÚÔ˜ ÙÔ˘ ¶·È‰·ÁˆÁÈÎÔ‡ πÓÛÙÈÙÔ‡ÙÔ˘
À¶∂À£À¡O™ ∆√À À¶√∂ƒ°√À πˆ¿ÓÓ˘ ∑È¿Ú·Áη˜, ∂Î·È‰Â˘ÙÈÎfi˜
∂•øºÀ§§√ ™‡ÚÔ˜ µÂÚ‡ÎÈÔ˜, ∂ÈηÛÙÈÎfi˜ ∫·ÏÏÈÙ¤¯Ó˘
¶ƒ√∂∫∆À¶ø∆π∫∂™ ∂ƒ°∞™π∂™ ACCESS °ƒ∞ºπ∫∂™ ∆∂á∂™ ∞.∂.
°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∆√
°ÈÒÚÁÔ˜ ∫·ÚÁȈٿ΢ ∞ÏÂÍ¿Ó‰Ú· ª·Ú·ÁÎÔ‡
¡·Ù¿ÛÛ· ªÂÏ›ÙÛÔ˘ µ·ÛÈÏÈ΋ ™ÔÊÔ‡
ANA¢OXO™ ™Y°°PAºH™:
OP°ANI™MO™ EK¢O™Eø™ ¢I¢AKTIKøN BIB§IøN
A£HNA
M·ıËÌ·ÙÈο Bã¢ËÌÔÙÈÎÔ‡
TÂÙÚ¿‰ÈÔ ÂÚÁ·ÛÈÒÓ
‰ã Ù‡¯Ô˜
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¶ÂÚȯfiÌÂÓ·¶ÂÚȯfiÌÂÓ·
°°ÓÓˆ̂ÛÛÙÙÈÈÎΤ¤˜̃ ¶¶ÂÂÚÚÈÈÔÔ¯̄¤¤˜̃
E·Ó·ÏËÙÈο
·ÚÈıÌÔ›
·ÚÈıÌÔ› Î·È Ú¿ÍÂȘ
ÁˆÌÂÙÚ›·
ÌÂÙÚ‹ÛÂȘ
ÛÙ·ÙÈÛÙÈ΋
ÌÔÙ›‚·
Úfi‚ÏËÌ·
Oι κεντρικοί ήρωες του βιβλίου εµφανίζονται για να βοηθήσουν στη σταθερή σεναριακή δοµή των δραστηριοτήτων ανακάλυψης.
H EϤÓË O NÈÎfiÏ·˜ H ÕÓÓ· O XÚ‹ÛÙÔ˜ O ™›ı·˜
H NÂÛ¯¿Ó O ¶¤ÙÚÔ˜ H M·Ú›Ó· O ™‡ÚÔ˜ H KÏfiÓÙÈ·
(*) σύµβολα-«κλειδιά» για το είδος εργασίας που ακολουθεί:
- ÂÚÁ·Û›· Ì ÙÔÓ ‰ÈÏ·Ófi
- ÂÚÁ·Û›· Ì ÙËÓ ÔÌ¿‰·
- Û˘˙‹ÙËÛË ÛÙËÓ Ù¿ÍË
- ÂÈÎÔÓ›‰ÈÔ ·ÓÙ·ÏÏ·Á‹˜
- ̄ Ú‹ÛË ÂÔÙÈÎÔ‡ ̆ ÏÈÎÔ‡
- ̄ Ú‹ÛË ̄ ¿Ú·Î· ‹ ÁÓÒÌÔÓ·
- Ê¿ÎÂÏÔ˜ Ì·ıËÙ‹
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·°ã ¶ÂÚ›Ô‰Ô˜
EÓfiÙËÙ· 7
4422
4433
4444
°ÓˆÚ›˙ˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ ̤¯ÚÈ ÙÔ 1.000∂›ÛÎÂ„Ë ÛÙÔ ÂÓ˘‰ÚÂ›Ô 6-7
°ÓˆÚ›˙ˆ ÙÔ Ì¤ÙÚÔ™ÙÔÓ ·È‰›·ÙÚÔ 8-9
ºÙÈ¿¯Óˆ ÙÚÈ„‹ÊÈÔ˘˜ ·ÚÈıÌÔ‡˜ Î·È ÙÔ˘˜ Û˘ÁÎÚ›Óˆ¶·È¯Ó›‰È· Ì ·ÚÈıÌÔ‡˜ 10-11
§‡Óˆ ÚÔ‚Ï‹Ì·Ù· Ì ÌÂÁ¿ÏÔ˘˜ ·ÚÈıÌÔ‡˜ ∆Ô ÏÂÌÔÓÔ‰¿ÛÔ˜
12-13
∂¶∞¡∞§∏¶∆π∫√ KÂÊ¿Ï·È· 41-44 14-1577OO
4411
EÓfiÙËÙ· 8
4455
4466
§‡Óˆ Û‡ÓıÂÙ· ÚÔ‚Ï‹Ì·Ù· (Á)™Ù· ¯ÂÈÌ·‰È¿ 16-17
§‡Óˆ ÚÔ‚Ï‹Ì·Ù·: ™ÙÚ·ÙËÁÈΤ˜ ÓÔÂÚÒÓ ˘ÔÏÔÁÈÛÌÒÓ (·)™ÙËÓ ˘ÂÚ·ÁÔÚ¿
18-19
¢È·‚¿˙ˆ ÙÔ ÚÔÏfiÈ: H ÒÚ· «·ÎÚÈ‚Ò˜»∆Ô ÚÔÏfiÈ 20-21
¢È·‚¿˙ˆ ÙÔ ÚÔÏfiÈ: H ÒÚ· «Î·È ÌÈÛ‹»∆Ô ÎÔ˘‰Ô‡ÓÈ ÙÔ˘ Û¯ÔÏ›Ԣ 22-23
§‡Óˆ Û‡ÓıÂÙ· ÚÔ‚Ï‹Ì·Ù· (‰). H ÂÎÙ›ÌËÛË ÛÙÔ˘˜ ˘ÔÏÔÁÈÛÌÔ‡˜™ÙȘ ÂÎÙÒÛÂȘ 24-25
§‡Óˆ ÚÔ‚Ï‹Ì·Ù·: ™ÙÚ·ÙËÁÈΤ˜ ÓÔÂÚÒÓ ˘ÔÏÔÁÈÛÌÒÓ (‚)ÀÁÈÂÈÓ‹ ‰È·ÙÚÔÊ‹ 26-27
∂¶∞¡∞§∏¶∆π∫√ KÂÊ¿Ï·È· 45-50 28-29
∞Ó·ÁÓˆÚ›˙ˆ ÙȘ οıÂÙ˜ ¢ı›˜√ ¯¿ÚÙ˘ Ù˘ ÁÂÈÙÔÓÈ¿˜ 30-31
∞Ó·ÁÓˆÚ›˙ˆ ÙȘ ·Ú¿ÏÏËϘ ¢ı›˜∆· Û‹Ì·Ù· Ù˘ ÙÚÔ¯·›·˜ 32-33
§‡Óˆ Î·È ÊÙÈ¿¯Óˆ Û‡ÓıÂÙ· ÚÔ‚Ï‹Ì·Ù· (Â)™ÙÔ ÏÈÌ¿ÓÈ 34-35
∞Ó·ÁÓˆÚ›˙ˆ ÙÔ˘˜ ÙÂÙÚ·„‹ÊÈÔ˘˜ ·ÚÈıÌÔ‡˜∆· ·ÏÈ¿ ÙÂÙÚ¿‰È· Î·È ‚È‚Ï›· 36-37
∂¶∞¡∞§∏¶∆π∫√ KÂÊ¿Ï·È· 51-54 38-39
4488
4499
5500
4477
88OO
EÓfiÙËÙ· 9
5522
5533
5544
99OO
5511
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6 ŒÍÈ
41 °ÓˆÚ›˙ˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ ̤¯ÚÈ ÙÔ 1.000
·. ™˘ÌÏËÚÒÓˆ ÙÔÓ ›Ó·Î·.
‚. ¶·Ú·ÙËÚÒ ÚÔÛ¯ÙÈο Î·È Û˘ÌÏËÚÒÓˆ fiˆ˜ ÛÙÔ ·Ú¿‰ÂÈÁÌ·. ∂ϤÁ¯ˆ Ì ÙÔÓ¿‚·Î·.
Á. µÚ›ÛΈ ÙÔ Ï¿ıÔ˜ fiÔ˘ ̆ ¿Ú¯ÂÈ Î·È ÙÔ ‰ÈÔÚıÒÓˆ ‰›Ï·. ¢Â›¯Óˆ ÛÙÔÓ ¿‚·Î· ÛÙÔÛˆÛÙfi ·ÚÈıÌfi.
300 + 1 = 3001
100 + 80 + 8 = 10088
ñ 1 6 0 = .... + ....
ñ 480 =
500 + 50 = 505
AÚÈıÌfi˜ Ì ϤÍÂȘAÚÈıÌfi˜ Ì „ËÊ›· ™ÙÔÓ ¿‚·Î·
EηÙfiÓ ÂÓ‹ÓÙ· ‰‡Ô
.....................................
O¯Ù·ÎfiÛÈ· ‰¤Î·
.....................................
E ¢Mñ 7 5 4 = 700 + 50 + 4
E ¢M
ñ 405 =
∞ÚÈıÌÔ› ̤¯ÚÈ ÙÔ 1.000: °Ú·Ê‹, ·Ó¿ÁÓˆÛË, ʈÓÔÏÔÁÈ΋·Ó¿Ï˘ÛË Î·È Û‡ÓıÂÛË.
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7EÊÙ¿
EÓfiÙËÙ· 7
‰. ¢È·‚¿˙ˆ ‰˘Ó·Ù¿ ÙÔÓ ·ÚÈıÌfi. ™ÙË Û˘Ó¤¯ÂÈ· ̆ ÔÁÚ·ÌÌ›˙ˆ ÙÔ ÛˆÛÙfi. ∂ϤÁ¯ˆ Ì ÙÔÓ¿‚·Î·.
(3) (30) (300)135: Ë ·Í›· ÙÔ˘ „ËÊ›Ô˘ 3 Â›Ó·È → ÙÚ›· ÙÚÈ¿ÓÙ· ÙÚÈ·ÎfiÛÈ·213: Ë ·Í›· ÙÔ˘ „ËÊ›Ô˘ 3 Â›Ó·È → ÙÚ›· ÙÚÈ¿ÓÙ· ÙÚÈ·ÎfiÛÈ·389: Ë ·Í›· ÙÔ˘ „ËÊ›Ô˘ 3 Â›Ó·È → ÙÚ›· ÙÚÈ¿ÓÙ· ÙÚÈ·ÎfiÛÈ·
Â. ºÙÈ¿¯Óˆ Ì ÙÔÓ ›‰ÈÔ ÙÚfiÔ ÙÔ˘˜ ·ÚÈıÌÔ‡˜:
ñ ¶Ò˜ ı· ÊÙȿ͈ ÙÔ 1.000;
ÛÙ. ™˘ÌÏËÚÒÓˆ ÙȘ ·ÚÈıÌÔÛÂÈÚ¤˜. ™˘˙ËÙ¿Ì ÛÙËÓ Ù¿ÍË Ò˜ ‚ڋηÌ ÙÔÓ ÂfiÌÂÓÔ·ÚÈıÌfi οı ÊÔÚ¿.
0, 100, 200, 300, .........., .........., .........., .........., .........., .........., 1.000
0, 50, 100, 150, 200, 250, .........., .........., .........., .........., 500
1.000, 900, 800, .........., .........., .........., .........., .........., .........., .........., 0
0, 300, .........., 900
0, 200, 400, .........., .........., 1.000
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42 °ÓˆÚ›˙ˆ ÙÔ Ì¤ÙÚÔ
∏ ̤ÙÚËÛË ÙÔ˘ Ì‹ÎÔ˘˜ Ì ¿Ù˘Â˜ Î·È Ù˘ÈΤ˜ ÌÔÓ¿‰Â˜Ì¤ÙÚËÛ˘/ÙÔ Ì¤ÙÚÔ, Ë Û¯¤ÛË ÙÔ˘ Ì ٷ ÂηÙÔÛÙfiÌÂÙÚ·.
8 OxÙÒ
∂ϤÁ¯ˆ Ì ÙÔ ̄ ¿Ú·Î· ÙËÓ ÂÎÙ›ÌËÛ‹ ÌÔ˘.
‚. ∆ËÓ ÒÚ· Ù˘ Á˘ÌÓ·ÛÙÈ΋˜ Ù· ·È‰È¿ ¤ÙÚÂÍ·Ó ‰‡Ô ÊÔÚ¤˜ Á‡Úˆ ·fi ÙÔ ÚÔ·‡ÏÈÔ ÙÔ˘Û¯ÔÏ›Ԣ. ¶fiÛ· ̤ÙÚ· ¤ÙÚÂÍ·Ó Û˘ÓÔÏÈο;
·. ∆· ·È‰È¿ ·›˙Ô˘Ó Ì›ÏȘ ÛÙËÓ ·˘Ï‹ÙÔ˘ Û¯ÔÏ›Ԣ. ∏ ΛÙÚÈÓË Ì›ÏÈ· Â›Ó·È Ô ÛÙfi¯Ô˜. ¶ÔÈÔ ·È‰› ¤ÚÈÍ ÙËÓ Ì›ÏÈ· ÈÔ ÎÔÓÙ¿;
∂ÎÙÈÌÒ: ...................….................
YÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
EϤÁ¯ˆ Ì οıÂÙ˜ Ú¿ÍÂȘ:
∂ÎÙÈÌÒ: ¶ÂÚ›Ô˘ ................ ̤ÙÚ·.
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9EÓÓ¤·
EÓfiÙËÙ· 7
∆· ·È‰È¿ Ù˘ ™Ùã T¿Í˘ ‰È·ÁˆÓ›˙ÔÓÙ·È ÛÙË ÛÊ·ÈÚÔ‚ÔÏ›· Î·È ÛÙÔ ¿ÏÌ· ÂȘ ‡„Ô˜. O ÃÚ‹-ÛÙÔ˜ ÛËÌÂÈÒÓÂÈ Ù· ·ÔÙÂϤÛÌ·Ù· ÙˆÓ ·ÁÒÓˆÓ Ù˘ ÛÊ·ÈÚÔ‚ÔÏ›·˜ Î·È Ô ¡ÈÎfiÏ·˜ Ù· ·Ô-ÙÂϤÛÌ·Ù· ÛÙÔ ‡„Ô˜.
∂ϤÓË°ÈÒÚÁÔ˜∫ÒÛÙ·˜ª·Ú›·
ñ ¶ÔÈÔ ·È‰› ‹Úı ÚÒÙÔ ÛÙË ÛÊ·ÈÚÔ‚ÔÏ›·; ..........................................
ñ ¶ÔÈÔ ·È‰› ‹Úı ÚÒÙÔ ÛÙÔ ¿ÏÌ· ÂȘ ‡„Ô˜; ..........................................∏ ™ÔÊ›· ‹‰ËÍ ÈÔ „ËÏ¿ ÛÙÔ ¿ÏÌ· ÂȘ ‡„Ô˜ ·fi ÙË ª·Ú›·, ·ÏÏ¿ ÈÔ ¯·ÌËÏ¿ ·fi ÙÔÓ∫ÒÛÙ·. µÚ›ÛΈ fiÛ· ÂηÙÔÛÙfiÌÂÙÚ· ‹‰ËÍÂ Ë ™ÔÊ›· (΢ÎÏÒÓˆ ÙÔ ÛˆÛÙfi).
Á. ¶ÔÈÔÈ ¿ÓıÚˆÔÈ ̄ ÚËÛÈÌÔÔÈÔ‡Ó ÛÙË ‰Ô˘ÏÂÈ¿ ÙÔ˘˜ ÙÔ Ì¤ÙÚÔ; ∂ÍËÁÒ Ò˜ ÙÔ˘˜ ̄ ÚËÛÈ̇ÂÈ.
‰. ∞ÁÒÓ˜ ÛÙÔ Û¯ÔÏ›Ô
ñ ¶·Ú·ÙËÚÒ Î·È Û˘ÌÏËÚÒÓˆ ÙÔ˘˜ ·Ú·¿Óˆ ›Ó·Î˜.0 5 Ì. 10 Ì.
0
50 ÂÎ.
100 ÂÎ.
110 ÂÎ.120 ÂÎ.
50
ñ 2 Ì. Î·È 10 ÂÎ. ñ 80 ÂÎ.
ñ 1 Ì. Î·È 35 ÂÎ. ñ 1 Ì. Î·È 15 ÂÎ.
ñ 1 Ì. Î·È 10 ÂÎ. ñ 1 Ì. Î·È 21 ÂÎ.
‡„Ô˜
ÛÂ
ÂηÙ
ÔÛÙfi
ÌÂÙÚ
·
Ì‹ÎÔ˜ Û ̤ÙÚ·
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43 ºÙÈ¿¯Óˆ ÙÚÈ„‹ÊÈÔ˘˜ ·ÚÈıÌÔ‡˜Î·È ÙÔ˘˜ Û˘ÁÎÚ›Óˆ
¢È·¯Â›ÚÈÛË ÙÚÈ„‹ÊÈˆÓ ·ÚÈıÌÒÓ. ™‡ÁÎÚÈÛË, ‰È¿Ù·ÍË, ·ÚÂÌ‚ÔÏ‹. 10 ¢¤Î·
·. ™˘ÌÏËÚÒÓˆ ÙȘ ·ÚÈıÌÔÛÂÈÚ¤˜. µÚ›ÛΈ οı ÊÔÚ¿ ÙÔÓ Î·ÓfiÓ·.
Á. ¶ÔÈÔÈ ·ÚÈıÌÔ› ·fi ÙÔ 0 ̂ ˜ ÙÔ 1.000 ÙÂÏÂÈÒÓÔ˘Ó ÛÂ:
‚. µÚ›ÛÎÔ˘Ì ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘ Â›Ó·È ·Ó¿ÌÂÛ· ÛÙÔ 785 Î·È ÛÙÔ 840 ηÈÙÂÏÂÈÒÓÔ˘Ó Û 5. ∆Ô˘˜ ÁÚ¿ÊÔ˘Ì ·fi ÙÔ ÌÈÎÚfiÙÂÚÔ ÛÙÔ ÌÂÁ·Ï‡ÙÂÚÔ.
785, .............................................................................................................., 840
ñ 00; ∆Ô˘˜ Áڿʈ ·fi ÙÔ ÌÈÎÚfiÙÂÚÔ ÛÙÔ ÌÂÁ·Ï‡ÙÂÚÔ.
100, ..................................................................................................................., 1.000
ñ 99; ∆Ô˘˜ Áڿʈ ·fi ÙÔ ÌÈÎÚfiÙÂÚÔ ÛÙÔ ÌÂÁ·Ï‡ÙÂÚÔ.
99, ................................................................................................................................
ñ 55; ∆Ô˘˜ Áڿʈ ·fi ÙÔ ÌÈÎÚfiÙÂÚÔ ÛÙÔ ÌÂÁ·Ï‡ÙÂÚÔ.
55, ................................................................................................................................
™˘˙ËÙ¿Ì ÛÙËÓ Ù¿ÍË fiÛÔ ‰È·Ê¤ÚÔ˘Ó ÔÈ ·Ú·¿Óˆ ·ÚÈıÌÔ› οı ÊÔÚ¿ ÌÂٷ͇ ÙÔ˘˜.
™˘˙ËÙ¿Ì ÛÙËÓ Ù¿ÍË oȘ ·ÚÈıÌÔÛÂÈÚ¤˜ Ì¿˜ ‰˘ÛÎfiÏ„·Ó. EÍËÁԇ̠ÁÈ·Ù›.
O ηÓfiÓ·˜ ›ӷÈ:
O ηÓfiÓ·˜ ›ӷÈ:
O ηÓfiÓ·˜ ›ӷÈ:
O ηÓfiÓ·˜ ›ӷÈ:
+ .... + ....
+ .... + ....
ñ 150, 250, 350, ................................................, 950.
ñ 803, 703, 603, ................................................, 3.
+ .... + ....
+ .... + ....
ñ 145, 150, 155, ................................................, 180.
ñ 820, 810, 800, ................................................, 750.
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11ŒÓÙÂη
EÓfiÙËÙ· 7
‰. ¶·Ú·ÙËÚÒ ÙÔ ·Ú¿‰ÂÈÁÌ· Î·È ‚Ú›ÛΈ ÙÔ ·ÔÙ¤ÏÂÛÌ·. ∂ϤÁ¯ˆ Ì ÙÔÓ ¿‚·Î·.
Â.. ŸÏ· Ù· ·È‰È¿ ÙÔ˘ Û¯ÔÏ›Ԣ ÙÔ˘ ª·ÓÒÏË ‹Á·Ó ÂΉÚÔÌ‹ ÛÙÔ °·Ï·Í›‰È. ∫¿ıÂψÊÔÚÂ›Ô ÌÂٷʤÚÂÈ 50 ·È‰È¿.
ñ ¶fiÛ· ·È‰È¿ Û˘ÓÔÏÈο ‹Á·Ó ÂΉÚÔÌ‹ ·Ó ‰ÂÓ ¤ÌÂÈÓ η̛· ı¤ÛË ¿‰ÂÈ·; YÔÏÔÁ›˙ˆÌ ‰‡Ô ‰È·ÊÔÚÂÙÈÎÔ‡˜ ÙÚfiÔ˘˜:
∂ϤÁ¯ˆ Ì ÙÔÓ ¿‚·Î·.
YÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
E¢M E¢M........
1Ô˜ ÙÚfiÔ˜ 2Ô˜ ÙÚfiÔ˜
ÛÙ. ¶fiÛ· ̤ÙÚ· ÂÚ·Ù¿ÌÂ Û˘ÓÔÏÈοfiÙ·Ó Î¿ÓÔ˘Ì ÙÔ Á‡ÚÔ ÙÔ˘ ¿ÚÎÔ˘;
∂ÎÙÈÌÒ: ¶ÂÚ›Ô˘ ................
130+100=
E¢M E¢M........630+300=
E¢M E¢M........750+200=
E¢M E¢M........775+100=
X E ¢ M
X E ¢ M
X E ¢ M
X E ¢ M
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44 §‡Óˆ ÚÔ‚Ï‹Ì·Ù· Ì ÌÂÁ¿ÏÔ˘˜ ·ÚÈıÌÔ‡˜
¢È‰·ÎÙÈ΋ Â›Ï˘Û˘ ÚÔ‚Ï‹Ì·ÙÔ˜, ·Ó¿‰ÂÈÍË ÛÙÚ·ÙËÁÈÎÒÓ ÓÔÂÚÒÓ˘ÔÏÔÁÈÛÌÒÓ Ì ‚¿ÛË ÙÔ ¿ÙËÌ· ÛÙËÓ ÂηÙÔÓÙ¿‰·.
12 ¢Ò‰Âη
·. ∏ ÌËÙ¤Ú· ÙÔ˘ ¶¤ÙÚÔ˘ ‰Ô˘Ï‡ÂÈ Û ÂÚÁÔÛÙ¿ÛÈÔ. ™˘Û΢¿˙ÂÈ ÛÔÎÔÏ¿Ù˜. ™Â οı ÎÔ˘-Ù› ‚¿˙ÂÈ 50 ÛÔÎÔÏ¿Ù˜. ø˜ ÙÒÚ· ¤¯ÂÈ Û˘Û΢¿ÛÂÈ 9 ÎÔ˘ÙÈ¿. ¶fiÛ˜ ÛÔÎÔÏ¿Ù˜ ¤‚·ÏÂÛ˘ÓÔÏÈο ÛÙ· ÎÔ˘ÙÈ¿;
‹ ÌÂ ÙËÓ ·ÚÈıÌÔÁÚ·ÌÌ‹.
‚. ™ÙÔÓ ·ÁÒÓ· ÙÔ˘ Û¯ÔÏ›Ԣ ÙÔ˘ Ô ¡ÈÎfiÏ·˜ ¤¯ÂÈ ¿ÂÈ Ì ÙÔÓ ·Ù¤Ú· ÙÔ˘. ™ÙÔ ÚÒÙÔ ËÌ›-¯ÚÔÓÔ ÔÈ Ê›Ï·ıÏÔÈ ÛÙȘ ÎÂÚΛ‰Â˜ ‹Ù·Ó 890. ™ÙÔ ‰È¿ÏÂÈÌÌ· ¤Ê˘Á·Ó 15. ¶fiÛÔÈ Ê›Ï·ıÏÔÈ›‰·Ó ÙÔÓ ·ÁÒÓ· ̤¯ÚÈ ÙÔ Ù¤ÏÔ˜;
ñ ∂ÎÙÈÌÒ: ¶ÂÚ›Ô˘ ...................... YÔÏÔÁ›˙ˆ Ì ·ÎÚ›‚ÂÈ·:
ñ ∂ϤÁ¯ˆ Ì ÙÔÓ ¿‚·Î· 0 50 100
ñ AÓ ÙÔ Á‹Â‰Ô ̄ ˆÚ¿ÂÈ 1.000 ÊÈÏ¿ıÏÔ˘˜, fiÛ· ηı›ÛÌ·Ù· ‹Ù·Ó ¿‰ÂÈ· ÛÙÔ ÚÒÙÔËÌ›¯ÚÔÓÔ;
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13¢ÂηÙÚ›·
EÓfiÙËÙ· 7
ñ ∂ÎÙÈÌÒ: ¶ÂÚ›Ô˘ ...................... YÔÏÔÁ›˙ˆ Ì ·ÎÚ›‚ÂÈ·:
Á. µÚ›ÛΈ ÔÈ· ·È‰È¿ ¤Î·Ó·Ó Ï¿ıÔ˜ ̆ ÔÏÔÁÈÛÌÔ‡˜. ∂ϤÁ¯ˆ Ì ÙÔÓ Î¿ıÂÙÔ ¿‚·Î·.
‰. ™ÙËÓ Î·Ù·Û΋ӈÛË ‹Á·Ó ÛÙËÓ ÚÒÙË ÂÚ›Ô‰Ô 250 ·È‰È¿. ™ÙË ‰Â‡ÙÂÚË ÂÚ›Ô‰Ô ‹-Á·Ó fiÛ· Î·È ÛÙËÓ ÚÒÙË. ™ÙËÓ ÙÚ›ÙË ÂÚ›Ô‰Ô ‹Á·Ó ÌfiÓÔ 200. ¶fiÛ· Û˘ÓÔÏÈο ·È‰È¿‹Á·Ó ÛÙËÓ Î·Ù·Û΋ӈÛË;
Â. ™˘ÌÏËÚÒÓˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘ Ï›ԢÓ. AÓ ÚÔÛÙÂıÔ‡Ó ÔÚÈ˙fiÓÙÈ· Î·È Î¿ıÂÙ· ÔÈ ·ÚÈıÌÔ› ‰›ÓÔ˘Ó 1.000.
600 100 = 1.000
300 = 1.000
600 = 1.000
= 1.000 = 1.000 = 1.000
350 50 = 1.000
350 = 1.000
650 = 1.000
= 1.000 = 1.000 = 1.000
1η περίοδος: 15 Iουνίου - 5 Iουλίου 2η περίοδος: 5 Iουλίου - 26 Iουλίου 3η περίοδος: 26 Iουλίου - 20 Aυγούστου
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E·Ó·ÏËÙÈÎfi
KÂÊ¿Ï·È· 41-44
14 ¢Âη٤ÛÛÂÚ·∂̤‰ˆÛË - ¤ÎÙ·ÛË ÙˆÓ ÁÓÒÛÂˆÓ Î·È ‰ÂÍÈÔÙ‹ÙˆÓ Ô˘‰È‰¿¯ÙËÎ·Ó ÛÙËÓ ÂÓfiÙËÙ·.
·. ¶·Ú·ÙËÚÒ ÙÔÓ ›Ó·Î·.
¶fiÛÔ ̇ ˘Á›˙Ô˘Ó Ù· ·Ú·¿Óˆ ̇ Ò· Û˘ÓÔÏÈο;∂ÎÙÈÌÒ:
ñ ¶ÂÚÈÛÛfiÙÂÚÔ ·fi 400 ÎÈÏ¿
ñ §ÈÁfiÙÂÚÔ ·fi 400 ÎÈÏ¿ Î·È ÂÚÈÛÛfiÙÂÚÔ ·fi 350
ñ §ÈÁfiÙÂÚÔ ·fi 400 ÎÈÏ¿
‚. O ·ÚÈÔ˜ ¶·Ó·ÁÈÒÙ˘ Â›Ó·È ·ÁÚfiÙ˘. ÀÔÏÔÁ›˙ÂÈ fiÛË ÙÚÔÊ‹ ̄ ÚÂÈ¿˙ÂÙ·È ÁÈ· Ù· ̇ Ò·ÙÔ˘. ∆ÔÓ ‚ÔËıÒ ÛÙÔ˘˜ ̆ ÔÏÔÁÈÛÌÔ‡˜ ÙÔ˘. XÚËÛÈÌÔÔÈÒÓÙ·˜ ÙÔÓ ¿‚·Î· ‹ ÙËÓ·ÚÈıÌÔÌ˯·Ó‹, Û˘ÌÏËÚÒÓˆ ÙÔÓ ›Ó·Î· Ì ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘ Ï›ԢÓ.
∂ϤÁ¯ˆ Ì ÙÔÓ ¿‚·Î·.
EÍËÁÒ ÛÙËÓ Ù¿ÍË Ò˜ ÛΤÊÙËη.
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ENOTHTA 7
15¢Âη¤ÓÙÂ
Á. ¶·Ú·ÙËÚÒ Î·È Û˘ÌÏËÚÒÓˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ ÒÛÙ ӷ ÈÛ¯‡Ô˘Ó ÔÈ ÈÛfiÙËÙ˜.
‰. ∆Ô Û›ÙÈ Ù˘ ÕÓÓ·˜ ·¤¯ÂÈ 350 ̤ÙÚ· ·fi ÙÔ Û¯ÔÏ›Ô. ∆Ô Û›ÙÈ ÙÔ˘ ¡ÈÎfiÏ· ·¤¯ÂÈ ·fiÙÔ Û¯ÔÏÂ›Ô 150 ̤ÙÚ· ÏÈÁfiÙÂÚÔ. ¶fiÛÔ ·¤¯ÂÈ ÙÔ Û›ÙÈ ÙÔ˘ ¡ÈÎfiÏ· ·fi ÙÔ Û¯ÔÏ›Ô;
...... + 5 + 5 = 200
...... –– 38 = 300
910 –– ...... –– ...... = 800
...... + 1+99 = 600 ∂ϤÁ¯ˆ Ì ÙÔÓ Î¿ıÂÙÔ ¿‚·Î·.
ñ ¶fiÛÔ ı· Ú¤ÂÈ Ó· ÂÚ·Ù‹ÛÂÈ Î¿ı ·È‰› ÁÈ· Ó· ¿ÂÈ ÛÙÔ Û¯ÔÏÂ›Ô Î·È Ó· Á˘Ú›ÛÂÈ ÛÙÔÛ›ÙÈ ÙÔ˘;
Â. ¶·Ú·ÙËÚÒ ÚÔÛ¯ÙÈο Î·È ‚Ú›ÛΈ ÙÔ˘˜ ̆ fiÏÔÈÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘ Ï›ԢÓ.
ÛÙ. O ·Ù¤Ú·˜ Ù˘ BԇϷ˜ Â›Ó·È Î·ÂÙ¿ÓÈÔ˜. º¤ÙÔ˜ ¤Î·Ó ̷ÎÚÈÓ¿ Ù·Í›‰È· Î·È ¤ÏÂÈ 13Ì‹Ó˜ ·fi ÙÔ Û›ÙÈ. ∏ BԇϷ ̆ ÔÏfiÁÈÛ fiÛ˜ ̤Ú˜ ¤ÏÂÈÂ Ô ·Ù¤Ú·˜ Ù˘.
ŒÓ·˜ Ì‹Ó·˜ ¤¯ÂÈ ÂÚ›Ô˘ 30 ̤Ú˜.ÕÚ·, ¤ÏÂÈ„Â ÂÚ›Ô˘ 400 ̤Ú˜.
Œ¯ÂÈ ‰›ÎÈÔ Ë BԇϷ;
N·È Ÿ¯È
YÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
ÕÓÓ·: NÈÎfiÏ·˜:
150 150 ...... = 500
...... 50 ...... = 500
100 ...... 100 = 500
300 ...... 400 = 1.000
...... 100 ...... = 1.000
200 600 ...... = 1.000
∂ÎÙÈÌÒ:
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45 §‡Óˆ Û‡ÓıÂÙ· ÚÔ‚Ï‹Ì·Ù· (Á)
¢È‰·ÎÙÈ΋ Â›Ï˘Û˘ ÚÔ‚Ï‹Ì·ÙÔ˜: H ¤ÓÓÔÈ· ÙÔ˘«ÂÚÈÛÛfiÙÂÚÔ/ÏÈÁfiÙÂÚÔ ·fi» ÛÙÔ˘˜ ÙÚÈ„‹ÊÈÔ˘˜ ·ÚÈıÌÔ‡˜.∞Ó¿‰ÂÈÍË Ù˘ ÂÎÙ›ÌËÛ˘.
16 ¢Âη¤ÍÈ
ÀÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
ñ ºÙÈ¿¯ÓÔ˘Ì ÙÔ ‰ÈÎfi Ì·˜ ÌÔÙ›‚Ô Î·È ̆ ÔÏÔÁ›˙Ô˘Ì ÙËÓ ·ÚÈıÌËÙÈ΋ ÙÔ˘ ·Í›·.
1.
2.
3.
YÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
·. ¶ÔÈÔ ̄ ˆÚ¿ÊÈ ¤¯ÂÈ ÙÔ ÊÚ¿ÎÙË Ì ÙÔ ÌÂÁ·Ï‡ÙÂÚÔ Ì‹ÎÔ˜; ∂ÎÙÈÌÒ: ............................
11ÔÔ 22ÔÔ
100 Ì.
200 Ì.
100 Ì.
100 Ì.
150 Ì.
250 Ì.
200 Ì.
200 Ì.200 Ì.
200 Ì.AA ZZ
¢¢
°°BB
EE KK §§
II MM
TÔ AB°¢EZ TÔ IK§M
‚. AÓ = 150, = 50, = 25, ÙfiÙ ÔÈÔ ·fi Ù· ·Ú·Î¿Ùˆ ÌÔÙ›‚· ¤¯ÂÈ ÙË ÌÂÁ·Ï‡ÙÂ-ÚË ·ÚÈıÌËÙÈ΋ ·Í›·; ∂ÎÙÈÌÒ: ............................
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17¢ÂηÂÊÙ¿
EÓfiÙËÙ· 8
Á. ∏ ÕÓÓ· ‹Á ÛÙ· Ì·Á·˙È¿ Ì ÙË ÌÂÁ¿ÏË Ù˘ ·‰ÂÚÊ‹. ¶·Ú·ÙËÚÔ‡Û·Ó ÙȘ ÙÈ̤˜ ÙˆÓ ÚÔ˚-fiÓÙˆÓ Ô˘ ‹ıÂÏ·Ó Ó· ·ÁÔÚ¿ÛÔ˘Ó.
ñ XÚËÛÈÌÔÔÈÒ Ù· „‡ÙÈη ΤÚÌ·Ù· ÙÔ˘ ¢ÚÒ Î·È ˘ÔÏÔÁ›˙ˆ fiÛË Â›Ó·È Ë ‰È·ÊÔÚ¿ÛÙËÓ ÙÈÌ‹:
ÀÔÏÔÁ›˙ˆ Ì ·ÎÚ›‚ÂÈ·:ZˆÁÚ·Ê›˙ˆ ÙÔ Úfi‚ÏËÌ·:
EϤÁ¯ˆ Ì ÂÔÙÈÎfi ̆ ÏÈÎfi.
ñ ÁÈ· ÙÔ ‚¿˙Ô;
ñ ÁÈ· ÙÔ È·Ù¿ÎÈ;
ñ ∞fi ÔÈÔ Ì·Á·˙› ÙÔ‡˜ Û˘ÌʤÚÂÈ Ó· ·ÁÔÚ¿ÛÔ˘Ó ÙÔ ‚¿˙Ô Ì ÙÔ È·Ù¿ÎÈ;
∂›¯·Ó 50 ú. ¶fiÛ· ̄ Ú‹Ì·Ù· ÙÔ˘˜ ¤ÌÂÈÓ·Ó ÌÂÙ¿ ÙËÓ ·ÁÔÚ¿;
‰. ¶ÔÈ· ·È‰È¿ ı· Ê¿Ó ÂÚÈÛÛfiÙÂÚ˜ ÁÎÔÊÚ¤Ù˜ ·Ó ÙȘ ÌÔÈÚ·ÛÙÔ‡Ó ‰›Î·È·; ∂ÎÙÈÌÒ (‚¿˙ˆ ✓ )
ñ ¶fiÛ˜ ÁÎÔÊÚ¤Ù˜ ı· ¤Ú ӷ ›¯·Ì ·ÎfiÌË Û οı ÂÚ›ÙˆÛË ÁÈ· Ó· Ê¿ÂÈ Î¿ı·ȉ› 2 ÂÈϤÔÓ ÁÎÔÊÚ¤Ù˜;
36 ÁÎÔÊÚ¤Ù˜ 48 ÁÎÔÊÚ¤Ù˜
11ËË ÔÔÌÌ¿¿‰‰·· 22ËË ÔÔÌÌ¿¿‰‰··
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46 §‡Óˆ ÚÔ‚Ï‹Ì·Ù·: ™ÙÚ·ÙËÁÈΤ˜ ÓÔÂÚÒÓ ˘ÔÏÔÁÈÛÌÒÓ (·)
¢È‰·ÎÙÈ΋ Â›Ï˘Û˘ Û‡ÓıÂÙˆÓ ÚÔ‚ÏËÌ¿ÙˆÓ / Ë ÚÔ·›‰ÂÈ·ˆ˜ Û‡ÓÙÔÌË ÚfiÛıÂÛË Û ÌÂÁ¿ÏÔ˘˜ ·ÚÈıÌÔ‡˜.
18 ¢ÂηԯÙÒ
·. ™˘ÌÏËÚÒÓˆ Ù· ‰¤ÓÙÚ· ÙÔ˘ 1.000 Î·È ÙÔ˘ 500.
OOÚÚÈÈ˙̇fifiÓÓÙÙÈÈ··1. ∂›Ó·È ÙÔ ‰ÈÏ¿ÛÈÔ ÙÔ˘ 500.2. ∂›Ó·È ÙÔ ÌÈÛfi ÙÔ˘ 500.3. 10 x 10 οÓÂÈ .......
KK¿¿ııÂÂÙÙ··4. 8 x ....... = 1.000.5. ∆Ô ÌÈÛfi ÙÔ˘ 600.
Á. ¶fiÛ˜ ›‰È˜ Û˘Û΢·Û›Â˜ Ú¤ÂÈ Ó· ·ÁÔÚ¿ÛÂÈ Ë ÕÓÓ·;
.
‚. µÚ›ÛÎÔ˘Ì ÙÔ ·ÚÈıÌfiÏÂÍÔ.
¶fiÛÔ ̇ ˘Á›˙ÂÈ... °È· Ó· ¤¯ÂÈ 1.000 ÁÚ·ÌÌ¿ÚÈ· Ú¤ÂÈ Ó· ¿ÚÂÈ... ‹ 1 ÎÈÏfi
£¤Ïˆ 1 ÎÈÏfi ‹ 1.000 ÁÚ·ÌÌ¿ÚÈ·!
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19¢ÂηÂÓÓ¤·
EÓfiÙËÙ· 8
‰. ¶·Ú·ÙËÚÒ Ì ÚÔÛÔ¯‹ Î·È ÛÙË Û˘Ó¤¯ÂÈ· Û˘ÌÏËÚÒÓˆ ÙÔÓ ›Ó·Î·.
Â. ¶ÔÈÔ Ù˘Ú› Â›Ó·È ÈÔ ·ÎÚÈ‚fi;
ñ ¶fiÛÔ ÎÔÛÙ›˙ÂÈ ÙÔ ÎÈÏfi
ñ ·fi ÙË ÁÚ·‚Ȥڷ ∫Ú‹Ù˘; .....................
ñ ·fi ÙË ÁÚ·‚Ȥڷ N¿ÍÔ˘; ..................... ¶ÈÔ ·ÎÚÈ‚‹ Â›Ó·È .....................
ñ ∞Ó ·ÁÔÚ¿ÛÔ˘Ì 250 ÁÚ·ÌÌ. ·fi ÙË ÁÚ·‚Ȥڷ N¿ÍÔ˘, ı· ÏËÚÒÛÔ˘Ì ....... ú.
ñ ∞Ó ·ÁÔÚ¿ÛÔ˘Ì ÌÈÛfi ÎÈÏfi ·fi ÙË ÁÚ·‚Ȥڷ ∫Ú‹Ù˘, ı· ÏËÚÒÛÔ˘Ì ....... ú.
ñ ∞Ó ·ÁÔÚ¿ÛÔ˘Ì ÂÓ¿ÌÈÛÈ ÎÈÏfi ·fi οıÂ Ù˘Ú›, fiÛÔ ı· ÏËÚÒÛÔ˘ÌÂ;
ñ ÁÚ·‚Ȥڷ N¿ÍÔ˘ ....... ú ....... Ï. ñ ÁÚ·‚Ȥڷ KÚ‹Ù˘ ....... ú ....... Ï.
9 ú ÙÔ ÌÈÛfi ÎÈÏfi 4 ú Ù· 250 ÁÚ·ÌÌ.
∂ϤÁ¯ˆ ÙÔ˘˜ ̆ ÔÏÔÁÈÛÌÔ‡˜ ÌÔ˘ Ì ÙËÓ ·ÚÈıÌÔÁÚ·ÌÌ‹ ‹ Ì ÙÔÓ ¿‚·Î·.
°Ú·‚Ȥڷ N¿ÍÔ˘ °Ú·‚Ȥڷ KÚ‹Ù˘
500 ÁÚ·ÌÌ. 150 ÁÚ·ÌÌ. 500 – 150 = 500 – 100 – 50 = ....ÁÚ·ÌÌ.
900 ÁÚ·ÌÌ. 250 ÁÚ·ÌÌ. ......................................ÁÚ·ÌÌ.
1.000 ÁÚ·ÌÌ. .... ÁÚ·ÌÌ. 200 ÁÚ·ÌÌ.
.... ÁÚ·ÌÌ. 750 ÁÚ·ÌÌ. 150 ÁÚ·ÌÌ.
1 ÎÈÏfi 320 ÁÚ·ÌÌ. ......................................ÁÚ·ÌÌ.
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47 ¢È·‚¿˙ˆ ÙÔ ÚÔÏfiÈ: H ÒÚ· «·ÎÚÈ‚Ò˜»
∞Ó·ÁÓÒÚÈÛË Ù˘ ÒÚ·˜ ÛÙÔ ÚÔÏfiÈ. ∏ ÒÚ· «·ÎÚÈ‚Ò˜». ¢È·ÈÛıËÙÈ΋ ÂÍÔÈ-ΛˆÛË Ì ÙË ‰È¿ÚÎÂÈ· Ù˘ Ì›·˜ ÒÚ·˜.
20 E›ÎÔÛÈ
·. ∆È ÒÚ· ϤÓ ٷ ÚÔÏfiÁÈ·;
‚. ¢Â›¯Óˆ ÛÙ· ÚÔÏfiÁÈ·.
Á. ¶fiÛË ÒÚ· ¤Ú·ÛÂ;
3 Ë ÒÚ· ·ÎÚÈ‚Ò˜ 5 Ë ÒÚ· ·ÎÚÈ‚Ò˜
∆Ú›ÙË 15 ª·˝Ô˘ 2007 ∆ÂÙ¿ÚÙË 16 ª·˝Ô˘ 2007
......................... ......................... ......................... .........................
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21E›ÎÔÛÈ ¤Ó·
EÓfiÙËÙ· 8
‰. ∆È ÒÚ· ı· ‰Â›¯ÓÂÈ ÙÔ ÚÔÏfiÈ;
ñ ∏ Ù·ÈÓ›· ı· ÙÂÏÂÈÒÛÂÈ Û 2 ÒÚ˜. ™¯Â‰È¿˙ˆ ÛÙÔ ÚÔÏfiÈ Ô‡ ı· Â›Ó·È ÔÈ ‰Â›ÎÙ˜.
ñ £· Â›Ó·È ......... ·ÎÚÈ‚Ò˜.
¶Ô‡ Â›Ó·È ÙÔ ÂÁÁÔÓ¿ÎÈ ÌÔ˘;◊Úı·Ì ӷ Û ‰Ô‡ÌÂ.
ñ ™Â 3 ÒÚ˜ ı· Á˘Ú›ÛÔ˘Ó ÛÙÔ Û›ÙÈ ÙÔ˘˜. ™¯Â‰È¿˙ˆ ÛÙÔ ÚÔÏfiÈ Ô‡ ı· Â›Ó·È ÔÈ ‰Â›ÎÙ˜.
Â. ∏ ∂ϤÓË ËÁ·›ÓÂÈ Î·È ·›˙ÂÈ ÛοÎÈ 1 ÒÚ· οı ∆Ú›ÙË. ™Â 4 ‚‰ÔÌ¿‰Â˜ fiÛ˜ÒÚ˜ Û˘ÓÔÏÈο ·›˙ÂÈ ÛοÎÈ; EÍËÁԇ̠Ҙ ÛÎÂÊًηÌÂ.
ñ 2 ËÌÂÚÔÓ‡¯ÙÈ·; ñ ÌÈÛfi ËÌÂÚÔÓ‡¯ÙÈÔ;
ñ 7 ËÌÂÚÔÓ‡¯ÙÈ· ‹ 1 ‚‰ÔÌ¿‰·;
ÛÙ. ŒÓ· ËÌÂÚÔÓ‡¯ÙÈÔ ¤¯ÂÈ 24 ÒÚ˜. ¶fiÛ˜ ÒÚ˜ ¤¯Ô˘Ó:
EÈÛÈÙ‹ÚÈÔEÓ‹ÏÈÎÔÈ: 8 €¶·È‰È¿: 4 €
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48 ¢È·‚¿˙ˆ ÙÔ ÚÔÏfiÈ: H ÒÚ· «Î·È ÌÈÛ‹»
∞Ó·ÁÓÒÚÈÛË Ù˘ ÒÚ·˜ ÛÙÔ ÚÔÏfiÈ. ∏ ÒÚ· «Î·È ÌÈÛ‹». ¢È·È-ÛıËÙÈ΋ ÂÍÔÈΛˆÛË Ì ÙË ‰È¿ÚÎÂÈ· Ù˘ ÌÈÛ‹˜ ÒÚ·˜.
22 E›ÎÔÛÈ ‰‡Ô
·. ∆È ÒÚ· ϤÓ ٷ ÚÔÏfiÁÈ·;
‚. ¢Â›¯Óˆ ÛÙ· ÚÔÏfiÁÈ·.
Á. ¶fiÛË ÒÚ· ¤Ú·ÛÂ;
2 Î·È ÌÈÛ‹ 12 Î·È ÌÈÛ‹ 6 Î·È ÌÈÛ‹
¶¤Ú·Û ....... ÒÚ·. ¶¤Ú·Û·Ó ....... ÒÚ˜.
......................... ......................... ......................... .........................
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23E›ÎÔÛÈ ÙÚ›·
EÓfiÙËÙ· 8
‰. ∏ ÂÎÔÌ‹ ‰È·ÚΛ ÌÈÛ‹ ÒÚ·. ∆È ÒÚ· ı· ‰Â›¯ÓÂÈ ÙÔ ÚÔÏfiÈ fiÙ·Ó ÙÂÏÂÈÒÛÂÈ;
Â. ∏ ª·Ú›· οÓÂÈ ̄ ÔÚfi 1 ÒÚ· Î·È ÌÈÛ‹ οı ¶·Ú·Û΢‹.
ñ ∆È ÒÚ· ı· ‰Â›¯ÓÂÈ ÙÔ ÚÔÏfiÈ fiÙ·Ó ¤ÚıÂÈ Ô ·Ô‡˜;
ñ ZˆÁÚ·Ê›˙ˆ ÙÈ ÌÔÚ› Ó· ‰Â›¯ÓÂÈ ÙÔ ÚÔÏfiÈ ÛÙËÓ ·Ú¯‹ Î·È ÙÈ ÛÙÔ Ù¤ÏÔ˜ οı ̷ı‹Ì·ÙÔ˜.
EϤÁ¯ˆ ÙÔ˘˜ ̆ ÔÏÔÁÈÛÌÔ‡˜ ÌÔ˘ Ì ÙÔ ÚÔÏfiÈ.
ñ K¿ı ‚‰ÔÌ¿‰·.
ñ ™Â 4 ‚‰ÔÌ¿‰Â˜ (1 Ì‹Ó·).
O ·Ô‡˜ N›ÎÔ˜ › fiÙÈ ı· ’ÚıÂÈ Û ÌÈ¿ÌÈÛË ÒÚ·.
‹
ñ YÔÏÔÁ›˙ˆ fiÛ˜ ÒÚ˜ ̄ ÔÚ‡ÂÈ Û˘ÓÔÏÈο:
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49 §‡Óˆ Û‡ÓıÂÙ· ÚÔ‚Ï‹Ì·Ù· (‰).H ÂÎÙ›ÌËÛË ÛÙÔ˘˜ ˘ÔÏÔÁÈÛÌÔ‡˜
¢È‰·ÎÙÈ΋ Â›Ï˘Û˘ Û‡ÓıÂÙˆÓ ÚÔ‚ÏËÌ¿ÙˆÓ. ∞Ó¿‰ÂÈÍË Ù˘ ÂÎÙ›ÌËÛ˘ÛÙËÓ Â›Ï˘ÛË ÚÔ‚ÏËÌ¿ÙˆÓ. ¡ÔÂÚÔ› ̆ ÔÏÔÁÈÛÌÔ›.
24 E›ÎÔÛÈ Ù¤ÛÛÂÚ·
O ·ÚÈÔ˜ °È¿ÓÓ˘ ‰È¿ÏÂÍ ·fi ÙÔÓ Î·Ù¿ÏÔÁÔ:- ÈÚÈ¿ÙÈÎË Û·Ï¿Ù· 3 ú- ∫ÔÙfiÔ˘ÏÔ Ì ̄ ˘ÏÔ›Ù˜ 6 ú- ¶·Ù¿Ù˜ 3 ú
∏ ΢ڛ· Iˆ¿ÓÓ· ‰È¿ÏÂÍÂ:- ™·Ï¿Ù· Ï¿¯·ÓÔ 3 ú- °ÈÔ˘‚·ÚÏ¿ÎÈ· 7 ú- º¤Ù· 3 ú
O ¶¤ÙÚÔ˜ ‰È¿ÏÂÍÂ:- ∫ÂÊÙ‰¿ÎÈ· Ì ڇ˙È 6 ú- ¶ÔÚÙÔηϿ‰· 2 ú
ÀÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
BÚ›ÛΈ Ì ·ÎÚ›‚ÂÈ·:
3 x
5 x
1 x
4 x
2 x
1 x
8 x
2 x
4 x
·. ™ÙËÓ Ù·‚¤ÚÓ· ÙÔ˘ ̄ ˆÚÈÔ‡
¶fiÛÔ ÎÔÛÙ›˙Ô˘Ó Û˘ÓÔÏÈο fiÏ· fiÛ· ·Ú‹ÁÁÂÈÏ·Ó;
∂ÎÙÈÌÒ: ¶ÂÚ›Ô˘ ........................................................
‚. ¶ÔÈÔ ÔÚÙÔÊfiÏÈ ¤¯ÂÈ Ù· ÈÔ ÔÏÏ¿ ̄ Ú‹Ì·Ù·;∂ÎÙÈÌÒ: ..........................................................................
·. ‚. Á.
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25E›ÎÔÛÈ ¤ÓÙÂ
EÓfiÙËÙ· 8
Á. ¶fiÛÔ ı· ÏËÚÒÓ·Ì ÁÈ· Ù· ‰‡Ô ÚÔ˚fiÓÙ·;
¶fiÛ˜
ñ ™ÙȘ ÂÎÙÒÛÂȘ Ë ¯¿ÓÙÚ· ÎÔÛÙ›˙ÂÈ 40 Ï.
= 50 ÏÂÙ¿, ÊÙÈ¿¯ÓÔ˘Ì ¤Ó· ‚Ú·¯ÈfiÏÈ
Ì ̄ ¿ÓÙÚ˜ Ô˘ ¤¯Ô˘Ó Û˘ÓÔÏÈ΋ ·Í›· 300 Ï. ‹ 3 ú.
ñ ¶ÚÔÙ›ÓÔ˘Ì ‰‡Ô ‰È·ÊÔÚÂÙÈÎÔ‡˜ ÙÚfiÔ˘˜.
ñ ∂ϤÁ¯ˆ ̆ ÔÏÔÁ›˙ÔÓÙ·˜ Ì ‰È·ÊÔÚÂÙÈÎfi ÙÚfiÔ ÙÔ ·ÔÙ¤ÏÂÛÌ·:
(...... x 25) + (...... x 50) = 300 (...... x 25 ) + (...... x 50) = 30
¶ÚÈÓ ·fi ÙȘ ÂÎÙÒÛÂȘ
∂ÎÙÈÌÒ: ¶ÂÚ›Ô˘ ................ ú
™ÙȘ ÂÎÙÒÛÂȘ
∂ÎÙÈÌÒ: ¶ÂÚ›Ô˘ ....... ú
Î·È fiÛ˜ ̄ ¿ÓÙÚ˜ ̄ ÚËÛÈÌÔÔÈ‹Û·Ì οı ÊÔÚ¿;
= 25 ÏÂÙ¿ Î·È ∞Ó
............ ...................Î·È ............ ...................ηÈ
11oo˜̃ ÙÙÚÚfifiÔÔ˜̃ 22oo˜̃ ÙÙÚÚfifiÔÔ˜̃
¯¿ÓÙÚ· ÎÔÛÙ›˙ÂÈ 20 Ï. Î·È Ë¶Ò˜ ı· ÊÙÈ¿ÍÔ˘Ì ¤Ó· ‚Ú·¯ÈfiÏÈ ·Í›·˜ 3 ú ; ¶ÚÔÙ›ÓÔ˘Ì ‰È·ÊÔÚÂÙÈÎÔ‡˜ ÙÚfiÔ˘˜:
‰.
YÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·: YÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
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50 §‡Óˆ ÚÔ‚Ï‹Ì·Ù·: ™ÙÚ·ÙËÁÈΤ˜ ÓÔÂÚÒÓ ˘ÔÏÔÁÈÛÌÒÓ (‚)
∞Ó¿‰ÂÈÍË ÛÙÚ·ÙËÁÈÎÒÓ Â›Ï˘Û˘ ÚÔ‚Ï‹Ì·ÙÔ˜ ÌÂÚÈÛÌÔ‡. 26 E›ÎÔÛÈ ¤ÍÈ
ñ ŸÙ·Ó οıÔÓÙ·È 4 ·È‰È¿ Û οı ÔÌ¿‰·
ñ ŸÙ·Ó οıÔÓÙ·È ·Ó¿ 2, ÊÙÈ¿¯ÓÔ˘Ó .......... ÔÌ¿‰Â˜.
Ë Ù¿ÍË ı· ¤¯ÂÈ ........ ÔÌ¿‰Â˜.
ñ ŸÙ·Ó οıÔÓÙ·È .... ·È‰È¿ Û οı ÔÌ¿‰· Ë Ù¿ÍË ı· ¤¯ÂÈ ........ ÔÌ¿‰Â˜.
ñ ŸÙ·Ó οıÔÓÙ·È .... ·È‰È¿ Û οı ÔÌ¿‰· Ë Ù¿ÍË ı· ¤¯ÂÈ ........ ÔÌ¿‰Â˜.
·. T· ·È‰È¿ ÛÙËÓ Ù¿ÍË Â›Ó·È ...........................
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27E›ÎÔÛÈ ÂÊÙ¿
EÓfiÙËÙ· 8
‚. O ªÈ¯¿Ï˘ Î·È Ô ™Ù·‡ÚÔ˜ ·ÁfiÚ·Û·Ó ÛÙË ÌËÙ¤Ú· ÙÔ˘˜ ÏÔ˘ÏÔ‡‰È·. Œ‰ˆÛ·Ó Û˘ÓÔÏÈÎ¿Î·È ÔÈ ‰‡Ô 17 ú. ªÔÈÚ¿ÛÙËÎ·Ó ÛÙË Ì¤ÛË Ù· ¤ÍÔ‰·. ¶fiÛ· ̄ Ú‹Ì·Ù· ¤‰ˆÛÂ Ô Î·ı¤Ó·˜;
Á. ∏ ÌËÙ¤Ú· ÙÔ˘ ™Ù·Ì¿ÙË ·ÁfiÚ·Û ‡Ê·ÛÌ· ÁÈ· Ó· ÙÔ˘ ÊÙÈ¿ÍÂÈ 2 ›‰È˜ ÎÔ˘ÚÙ›Ó˜. Œ‰ˆÛÂÛ˘ÓÔÏÈο 130 ú. ¶fiÛÔ ÎfiÛÙÈÛ ÙÔ ‡Ê·ÛÌ· ÁÈ· οı ÎÔ˘ÚÙ›Ó·;
ñ ∆˘ ¤ÌÂÈÓ·Ó ÛÙÔ ÔÚÙÔÊfiÏÈ 128 ¢ÚÒ. ¶fiÛ· ̄ Ú‹Ì·Ù· ›¯Â ÛÙËÓ ·Ú¯‹;
‰. ºÙÈ¿¯Óˆ ¤Ó· ÌÔÙ›‚Ô Ì ¿ÛÚ· Î·È ÌÏ ΢‚¿ÎÈ·. ∆· ¿ÛÚ· Â›Ó·È ‰ÈÏ¿ÛÈ· ·fi Ù·ÌÏÂ. ÃÚËÛÈÌÔÔÈÒ 18 ΢‚¿ÎÈ·. £· ̄ ÚÂÈ·ÛÙÒ: ................ ÌÏ ΢‚¿ÎÈ·.
................ ¿ÛÚ· ΢‚¿ÎÈ·.
ñ ∂ϤÁ¯ˆ ÔȘ ·fi ÙȘ ·Ú·Î¿Ùˆ ηٷÛ΢¤˜ Â›Ó·È ÛˆÛÙ¤˜. µ¿˙ˆ ✓ ÛÙÔ ÛˆÛÙfi.
™˘˙ËÙ¿Ì ÛÙËÓ Ù¿ÍË ÁÈ· Ù· ·ÔÙÂϤÛÌ·Ù·.
EÍËÁÒ Ì ·ÚÈıÌÔ‡˜:
ñ ¶ÔÈ· ÌÔÙ›‚· ÌÔÚÒ Ó· ÊÙȿ͈;
ñ
ñ
ñ
ñ
ñ
ñ
ñ
ñ
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E·Ó·ÏËÙÈÎfi
KÂÊ¿Ï·È· 45-50
28 E›ÎÔÛÈ Ô¯ÙÒ∂̤‰ˆÛË – ¤ÎÙ·ÛË ÙˆÓ ÁÓÒÛÂˆÓ Î·È ‰ÂÍÈÔًوÓÔ˘ ‰È‰¿¯ÙËÎ·Ó ÛÙËÓ ÂÓfiÙËÙ·.
·. ™˘ÌÏËÚÒÓˆ ÙÔ ·ÚÈıÌfiÏÂÍÔ.
OÚÈ˙fiÓÙÈ·1. TÔ ‰ÈÏ¿ÛÈÔ ÙÔ˘ 150.2. TÔ ÌÈÛfi ÙÔ˘ 500.3. 700 – 300.
∫¿ıÂÙ·1. 100 – 7.2. 170 + 30.3. 10 x 100.
‚. ºÙÈ¿¯Óˆ ÙÔÓ ·ÚÈıÌfi 570 Ì 4 ‰È·ÊÔÚÂÙÈÎÔ‡˜ ÙÚfiÔ˘˜.
Á. ∫¿ı ÌÈÛ‹ ÒÚ· ÂÚÓ¿ÂÈ ÙÔ ÏˆÊÔÚÂ›Ô ÌÚÔÛÙ¿ ·fi ÙË ÛÙ¿ÛË. O µ·Û›Ï˘ ÌfiÏȘ ¤¯·Û ÙÔ ÏˆÊÔÚÂ›Ô ÛÙȘ 11 Î·È ÌÈÛ‹. ¶fiÙ ı· ÂÚ¿ÛÂÈ ÙÔ ÂfiÌÂÓÔ ÏˆÊÔÚ›Ô; ¢Â›¯Óˆ ÛÙÔ ÚÔÏfiÈ.
ñ ªÂ + Î·È +
ñ ªÂ – Î·È –
ñ M x Î·È +
ñ M x Î·È –
H ÒÚ· ı· Â›Ó·È ............
... + ...(..
. x ...
) + .
..
(... x ...) – ......
– .
..
570
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ENOTHTA 8
29E›ÎÔÛÈ ÂÓÓ¤·
‰. ¶·Ú·ÙËÚÒ ÙÔ ÂÈÎÔÓfiÁÚ·ÌÌ· Î·È Û˘ÌÏËÚÒÓˆ.
Â.
4 ú ‹ 400 Ï.
µ¿˙ˆ ✓ ÛÙÔ ÛˆÛÙfi.
ñ ∏ Ì¿Ï· ÎÔÛÙ›˙ÂÈ fiÛÔ 8 ‚Ú·¯ÈfiÏÈ·.
ñ ∏ ÎÔ‡· ¤¯ÂÈ ÙÚÈÏ¿ÛÈ· ÙÈÌ‹ ·fi ÙËÓ ÙÈÌ‹ ÙÔ˘ ‚Ú·¯ÈÔÏÈÔ‡.
ñ ª›· Ì¿Ï· ÎÔÛÙ›˙ÂÈ fiÛÔ ‰‡Ô Îԇ˜.
ñ ¶fiÛ· ̄ Ú‹Ì·Ù· Ú¤ÂÈ Ó· ÏËÚÒÛÔ˘Ì ÁÈ· Ó· ·ÁÔÚ¿ÛÔ˘Ì 2 Îԇ˜, 1 Ì¿Ï· Î·È 3 ‚Ú·¯ÈfiÏÈ·; YÔÏÔÁ›˙ˆ:
.........................................................................................................................................
.........................................................................................................................................
.........................................................................................................................................
ñ ∏ Ì¿Ï· ÎÔÛÙ›˙ÂÈ ....... ú ‹ ....... Ï.
ñ ∏ ÎÔ‡· ÎÔÛÙ›˙ÂÈ ....... ú Î·È ....... Ï.
ñ ∆Ô ‚Ú·¯ÈfiÏÈ ÎÔÛÙ›˙ÂÈ ....... ú ‹ ........ Ï. 50 Ï.
1 ú ‹ 100 Ï.
2 ú ‹ 200 Ï.
3 ú ‹ 300 Ï.
ºÙÈ¿¯Óˆ Ì ÙËÓ ÔÌ¿‰· ÌÔ˘ ¤Ó· Úfi‚ÏËÌ· Ô˘ ÌÔÚ› Ó· Ï˘ı› Ì ÚfiÛıÂÛË Î·È·Ê·›ÚÂÛË.
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51 AÓ·ÁÓˆÚ›˙ˆ ÙȘ οıÂÙ˜ ¢ı›˜
∞Ó·ÁÓÒÚÈÛË Î¿ıÂÙˆÓ Â˘ıÂÈÒÓ Ì ̄ Ú‹ÛË ÁÓÒÌÔÓ·.¢È·ÈÛıËÙÈ΋ ÂÍÔÈΛˆÛË Ì ÙËÓ ÔÚı‹ ÁˆÓ›·.
30 TÚÈ¿ÓÙ·
·. ªÂ ÙÔ ̄ ¿Ú·Î· ÚÔÂÎÙ›ӈ ÙȘ ¢ı›˜. µÚ›ÛΈ Ì ÙÔ ÁÓÒÌÔÓ· ÔȘ Â›Ó·È Î¿ıÂÙ˜ÌÂٷ͇ ÙÔ˘˜.
µ¿˙ˆ ✓ ÛÙÔ ÛˆÛÙfi.
‚. ™Â ÔÈ· ÁˆÌÂÙÚÈο Û¯‹Ì·Ù· ̆ ¿Ú¯Ô˘Ó οıÂÙ˜ ¢ı›˜; µ¿˙ˆ ✓ ÛÙÔ ÛˆÛÙfi.
∂ϤÁ¯ˆ Ì ÙÔ ÁÓÒÌÔÓ· ÙȘ ÂÎÙÈÌ‹ÛÂȘ ÌÔ˘.
Á. ¶·Ú·ÙËÚÒ ÚÔÛ¯ÙÈο ÙȘ ÛËÌ·›Â˜.
™Â ÔȘ ÛËÌ·›Â˜ ̆ ¿Ú¯Ô˘Ó οıÂÙ˜ ÌÂٷ͇ ÙÔ˘˜ ÏÔ˘Ú›‰Â˜; µ¿˙ˆ ✓ ÛÙÔ ÛˆÛÙfi.
™˘˙ËÙ¿Ì ÛÙËÓ Ù¿ÍË.
·. ‚. Á. ‰. Â. ÛÙ.EÏÏ¿‰·˜ NÔÚ‚ËÁ›·˜ TÛ¯›·˜ KÔ˘‚¤ÈÙ AÚÁÂÓÙÈÓ‹˜ K›Ó·˜
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31TÚÈ¿ÓÙ· ¤Ó·
EÓfiÙËÙ· 9
™˘˙ËÙ¿Ì ÛÙËÓ Ù¿ÍË.
‰. ¶·Ú·ÙËÚÒ Î·È Û˘Ó¯›˙ˆ ÙÔ ÁˆÌÂÙÚÈÎfi ÌÔÙ›‚Ô Ì οıÂÙ˜ ¢ı›˜.
Â. XÚËÛÈÌÔÔÈÒ ̄ ¿Ú·Î· Î·È ̄ ÚÒÌ·Ù· Î·È ÊÙÈ¿¯Óˆ ÎÈ ÂÁÒ ÙÔ ‰ÈÎfi ÌÔ˘ ÁˆÌÂÙÚÈÎfiÌÔÙ›‚Ô Ì οıÂÙ˜ ¢ı›˜.
ÛÙ. XÚËÛÈÌÔÔÈÒ ̄ ¿Ú·Î· Î·È Û˘ÌÏËÚÒÓˆ ÙÔ Û˘ÌÌÂÙÚÈÎfi ÙÔ˘ Û¯‹Ì·ÙÔ˜.
À¿Ú¯Ô˘Ó οıÂÙ˜ ¢ı›˜ ÛÙÔ ·Ú·Î¿Ùˆ Û¯‹Ì·;
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52 AÓ·ÁÓˆÚ›˙ˆ ÙȘ ·Ú¿ÏÏËϘ ¢ı›˜
∞Ó·ÁÓÒÚÈÛË ·Ú¿ÏÏËÏˆÓ Â˘ıÂÈÒÓ ÂÌÂÈÚÈο. 32 TÚÈ¿ÓÙ· ‰‡Ô
·. ¶ÔȘ ¢ı›˜ Â›Ó·È ·Ú¿ÏÏËϘ; ∂ϤÁ¯ˆ Ì ÙÔ ̄ ¿Ú·Î·. µ¿˙ˆ ✓ ÛÙÔ ÛˆÛÙfi.
‚. ™˘ÌÏËÚÒÓˆ ÙȘ ·Ú¿ÏÏËϘ ¢ı›˜ ÛÙËÓ ÂÙÈΤٷ ÙÔ˘ ÙÂÙÚ·‰›Ô˘ Î·È ÛÙÔÓ Î·ıÚ¤ÊÙË.
Á. ¶·Ú·ÙËÚÒ ÚÔÛ¯ÙÈο ÙȘ ÛËÌ·›Â˜.
™Â ÔȘ ÛËÌ·›Â˜ ̆ ¿Ú¯Ô˘Ó ·Ú¿ÏÏËϘ ÏÔ˘Ú›‰Â˜; B¿˙ˆ ✓ ÛÙÔ ÛˆÛÙfi.
·. ‚. Á. ‰. Â.
™˘˙ËÙ¿Ì ÛÙËÓ Ù¿ÍË.
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33TÚÈ¿ÓÙ· ÙÚ›·
EÓfiÙËÙ· 9
‰. ™˘ÌÏËÚÒÓˆ ÙÔ Û‹Ì· Ô˘ ‰Â›¯ÓÂÈ ÔÚ›· ·ÚÈÛÙÂÚ‹˜ ÂÈΛӉ˘Ó˘ ÛÙÚÔÊ‹˜.
Â. ™˘Ó¯›˙ˆ Ì ÙÔÓ ›‰ÈÔ ÙÚfiÔ ÙȘ ·Ú¿ÏÏËϘ ¢ı›˜ ÛÙËÓ Î¿ÚÙ·, ÁÈ· Ó· ÁÚ¿„ˆ ¿ӈÙȘ ¢¯¤˜ ÌÔ˘.
ÛÙ. ¶Ô‡ ÌÔÚԇ̠ӷ ‚Úԇ̠·Ú¿ÏÏËϘ ¢ı›˜; ∂ÍËÁÒ:
˙. ºÙÈ¿¯Óˆ ¤Ó· ÌÔÙ›‚Ô Ì οıÂÙ˜ Î·È ·Ú¿ÏÏËϘ ¢ı›˜.
ñ ÛÙËÓ Ù¿ÍË ÌÔ˘. ñ ÛÙÔ ıÚ·Ó›Ô ÌÔ˘.
ñ Û ¤Ó· ‚È‚Ï›Ô ÌÔ˘. ñ Û ¤Ó· ̄ ·ÚÙ› ∞4.
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53 §‡Óˆ Î·È ÊÙÈ¿¯Óˆ Û‡ÓıÂÙ· ÚÔ‚Ï‹Ì·Ù· (Â)
¢È·¯Â›ÚÈÛË ‰Â‰ÔÌ¤ÓˆÓ Ì ۇÓıÂÙ· ÚÔ‚Ï‹Ì·Ù·. ∫·Ù·Û΢‹ ÚÔ-‚ÏËÌ¿ÙˆÓ Ì ÚÔ¸Ôı¤ÛÂȘ. T· ‚‹Ì·Ù· ÛÙËÓ Â›Ï˘ÛË ÚÔ‚Ï‹Ì·ÙÔ˜.
34 TÚÈ¿ÓÙ· Ù¤ÛÛÂÚ·
·. O XÚ‹ÛÙÔ˜ ·›˙ÂÈ Ù· ·˘ÙÔÎÈÓËÙ¿ÎÈ· Ì ÙÔ˘˜Ê›ÏÔ˘˜ ÙÔ˘. Œ¯ÂÈ Û˘ÓÔÏÈο 54 ·˘ÙÔÎÈÓËÙ¿ÎÈ·:·ÁˆÓÈÛÙÈο Î·È ÊÔÚÙËÁ¿. Œ·ÈÍ·Ó ÌfiÓÔ Ì ٷ·ÁˆÓÈÛÙÈο Î·È ¿ÊËÛ·Ó ÛÙËÓ ¿ÎÚË Ù· 18ÊÔÚÙËÁ¿. ∫¿ı ·È‰› ‹Ú ›ÛÔ ·ÚÈıÌfi ·fi Ù··ÁˆÓÈÛÙÈο ·˘ÙÔÎÈÓËÙ¿ÎÈ· ÁÈ· Ó· ·›ÍÂÈ.
ñ ¶fiÛ· ·˘ÙÔÎÈÓËÙ¿ÎÈ· ‹Ú οı ·È‰›;
YÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
YÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
‚. º¿Á·Ì 4 ÔÚÙÔοÏÈ· ÙË ¢Â˘Ù¤Ú·. ∆ËÓ ∆Ú›ÙË, ÙËÓ ∆ÂÙ¿ÚÙË Î·È ÙËÓ ¶¤ÌÙË Ê¿Á·ÌÂÛ˘ÓÔÏÈο 18 ÔÚÙÔοÏÈ·. ŒÌÂÈÓ·Ó 10 ÔÚÙÔοÏÈ·.
Á. ºÙÈ¿¯Óˆ Ì ÙËÓ ÔÌ¿‰· ÌÔ˘ ¤Ó· Úfi‚ÏËÌ· Ô˘ ÌÔÚ› Ó· Ï˘ı›. ∆Ô ‰›Óˆ Û ÌÈ·¿ÏÏË ÔÌ¿‰· ÁÈ· Ó· ÙÔ Ï‡ÛÂÈ.
EÎÙÈÌÒ: ¶ÂÚ›Ô˘ ........ ·˘ÙÔÎÈÓËÙ¿ÎÈ·.
EÎÙÈÌÒ: ¶ÂÚ›Ô˘ ........ ÔÚÙÔοÏÈ·.ñ¶fiÛ· ÔÚÙÔοÏÈ· ›¯·Ì ·ÁÔÚ¿ÛÂÈ;
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35TÚÈ¿ÓÙ· ¤ÓÙÂ
EÓfiÙËÙ· 9
‰. µÚ›ÛΈ ÔÈÔÈ ·ÚÈıÌÔ› ÌÔÚ› Ó· ›ӷÈ:
ñ Â›Ó·È ÌÂÁ·Ï‡ÙÂÚÔ˜ ·fi ÙÔ 200, ñ Â›Ó·È ÌÈÎÚfiÙÂÚÔ˜ ·fi ÙÔ 500ñ Î·È ÙÂÏÂÈÒÓÂÈ Û ‰‡Ô ÌˉÂÓÈο.
ñ Â›Ó·È ÌÂÁ·Ï‡ÙÂÚÔ˜ ·fi ÙÔ 650, ñ Â›Ó·È ÌÈÎÚfiÙÂÚÔ˜ ·fi ÙÔ 700 ñ Î·È ÙÂÏÂÈÒÓÂÈ Û 2.
Â. ™ÙËÓ Î·Ù·Û΋ӈÛË Ô £ˆÌ¿˜ οÓÂÈ Ì›· ÒÚ· ÙËÓ Ë̤ڷ ÌÔ˘ÛÈ΋ Ì ْ ¿ÏÏ· ·È‰È¿.∞fi Ù· 36 ·È‰È¿, Ù· ÌÈÛ¿ ·›˙Ô˘Ó Ù‡Ì·ÓÔ, 4 ·È‰È¿ ·›˙Ô˘Ó ÌÂÏfiÓÙÈη, 2 ·È‰È¿·›˙Ô˘Ó Í˘ÏfiʈÓÔ, 8 ·È‰È¿ ·›˙Ô˘Ó ÙÚÈÁˆÓ¿ÎÈ Î·È Ù· ̆ fiÏÔÈ· ̷ڿΘ.
ñ ¶fiÛ· ·È‰È¿ ·›˙Ô˘Ó Ù‡Ì·ÓÔ Î·È fiÛ· ̷ڿΘ;
ñ ∞Ó ̄ ˆÚÈÛÙÔ‡Ó Û ‰‡Ô ·ÎÚÈ‚Ò˜ ›‰È˜ ÔÚ¯‹ÛÙÚ˜, fiÛ· ·È‰È¿ ı· ¤·È˙·Ó Û ηıÂÌ›·;
™˘ÌÏËÚÒÓˆ ÙÔÓ ›Ó·Î·.
ñ O ÚÒÙÔ˜ ·ÚÈıÌfi˜:
........ ‹ ........ ‹ ........
ñ O ‰Â‡ÙÂÚÔ˜ ·ÚÈıÌfi˜:
........ ‹ ........ ‹ ........
........ ........ ........
........ ........
MÔ˘ÛÈÎfi AÚÈıÌfi˜fiÚÁ·ÓÔ ·È‰ÈÒÓ
T‡Ì·ÓÔ
MÂÏfiÓÙÈη
•˘ÏfiʈÓÔ
TÚÈÁˆÓ¿ÎÈ
M·Ú¿Î˜
MÔ˘ÛÈÎfi AÚÈıÌfi˜fiÚÁ·ÓÔ ·È‰ÈÒÓ
T‡Ì·ÓÔ
MÂÏfiÓÙÈη
•˘ÏfiʈÓÔ
TÚÈÁˆÓ¿ÎÈ
M·Ú¿Î˜
1Ë OÚ¯‹ÛÙÚ·
MÔ˘ÛÈÎfi AÚÈıÌfi˜fiÚÁ·ÓÔ ·È‰ÈÒÓ
T‡Ì·ÓÔ
MÂÏfiÓÙÈη
•˘ÏfiʈÓÔ
TÚÈÁˆÓ¿ÎÈ
M·Ú¿Î˜
2ËOÚ¯‹ÛÙÚ·
........
........
........
........
........
........
........
........
........
........
........
........
........
........
........
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54 AÓ·ÁÓˆÚ›˙ˆ ÙÔ˘˜ ÙÂÙÚ·„‹ÊÈÔ˘˜·ÚÈıÌÔ‡˜
ºˆÓÔÏÔÁÈ΋ ·Ó¿Ï˘ÛË Î·È Û‡ÓıÂÛË ÙÂÙÚ·„‹ÊȈÓÌ ̄ Ú‹ÛË ÂÔÙÈÎÔ‡ ̆ ÏÈÎÔ‡.
36 TÚÈ¿ÓÙ· ¤ÍÈ
·. ¶ÔÈÔÓ ·ÚÈıÌfi ‰Â›¯ÓÂÈ Ô ¿‚·Î·˜; °Ú¿Êˆ Ì ϤÍÂȘ Î·È „ËÊ›·.
‚. ºÙÈ¿¯Óˆ ÛÙÔÓ ¿‚·Î· ÙÔ˘˜ ·ÚÈıÌÔ‡˜.
¤ÓÙ ̄ ÈÏÈ¿‰Â˜ ‰‡Ô ̄ ÈÏÈ¿‰Â˜ ¤ÓÙ ‰È·ÎfiÛÈ· ‰‡Ô
........................... ........................... ...........................
........................... ........................... ...........................
¯›ÏÈ· ‰¤Î· ÂÓÓÈ·ÎfiÛÈ· ¤ÓÙ ÂÊÙ¿ ̄ ÈÏÈ¿‰Â˜
§¤ÍÂȘ: ...........................
æËÊ›·: ...........................
§¤ÍÂȘ: ...........................
æËÊ›·: ...........................
ñ ñ
§¤ÍÂȘ: ...........................
æËÊ›·: ...........................
ñ
§¤ÍÂȘ: ...........................
æËÊ›·: ...........................
§¤ÍÂȘ: ...........................
æËÊ›·: ...........................
ñ ñ
§¤ÍÂȘ: ...........................
æËÊ›·: ...........................
ñ
ñ ñ ñ
ñ ñ ñ
X E ¢ M X E ¢ M X E ¢ M
X E ¢ M X E ¢ M X E ¢ M
X E ¢ M X E ¢ M X E ¢ M
X E ¢ M X E ¢ M X E ¢ M
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37TÚÈ¿ÓÙ· ÂÊÙ¿
EÓfiÙËÙ· 9
Á. ÀÔÁÚ·ÌÌ›˙ˆ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘ Â›Ó·È ÌÂÁ·Ï‡ÙÂÚÔÈ ·fi ÙÔ 500.
‰. ¶·Ú·ÙËÚÒ Î·È ··ÓÙÒ. O XÚ‹ÛÙÔ˜ Â›Ó·È Ì·ıËÙ‹˜ ÛÙÔ ¢ËÌÔÙÈÎfi ™¯ÔÏ›Ô.
ñ ¶fiÙ ‹Á ÛÙË µã ¢ËÌÔÙÈÎÔ‡; .......................................................................................
ñ ¶fiÙ ‹Á ÛÙËÓ ∞ã ¢ËÌÔÙÈÎÔ‡; .....................................................................................
ñ ¶fiÙ ı· ¿ÂÈ ÛÙË °ã ¢ËÌÔÙÈÎÔ‡; ...................................................................................
ñ ¶fiÛ· ̄ ÚfiÓÈ· ‰È·ÚΛ ÙÔ ¢ËÌÔÙÈÎfi ™¯ÔÏ›Ô; .................................................................
ñ YÔÏÔÁ›˙ˆ: ¶ÔÈ· ̄ ÚÔÓÈ¿ ı· ÙÂÏÂÈÒÛÂÈ ÙÔ ¢ËÌÔÙÈÎfi ™¯ÔÏ›Ô; ......................................
ñ ∆Ô˘˜ ‚¿˙ˆ ÛÙËÓ ·ÚÈıÌÔÁÚ·ÌÌ‹.
ñ 600 ñ 380 ñ 506 ñ 2.000 ñ 1.000 ñ 450
Â. ™ÙȘ 29 ª·ÚÙ›Ô˘ ÙÔ˘ 2008 Ô ŒÎÙÔÚ·˜ ÎÏ›ÓÂÈ Ù· 18 ÙÔ˘ ̄ ÚfiÓÈ·. ¶fiÙ ÁÂÓÓ‹ıËÎÂ;
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E·Ó·ÏËÙÈÎfi
KÂÊ¿Ï·È· 51-54
38 TÚÈ¿ÓÙ· Ô¯ÙÒ∂̤‰ˆÛË – ¤ÎÙ·ÛË ÙˆÓ ÁÓÒÛÂˆÓ Î·È ‰ÂÍÈÔًوÓÔ˘ ‰È‰¿¯ÙËÎ·Ó ÛÙËÓ ÂÓfiÙËÙ·.
·. °Ú¿Êˆ ÙÔ˘˜ ̆ fiÏÔÈÔ˘˜ ·ÚÈıÌÔ‡˜ ·fi ÙÔ 0 ̤¯ÚÈ ÙÔ 9 fiˆ˜ ÂÌÊ·Ó›˙ÔÓÙ·È ÛÙÔÓ ̆ Ô-ÏÔÁÈÛÙ‹ Ùۤ˘.
™Â ÔÈÔ˘˜ ̆ ¿Ú¯Ô˘Ó οıÂÙ· ¢ı‡ÁÚ·ÌÌ· ÙÌ‹Ì·Ù·; TÔ˘˜ ۯ‰ȿ˙ˆ.
ÀÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
°Ú¿Êˆ Ù· ÎÂÊ·Ï·›· ÁÚ¿ÌÌ·Ù· Ù˘ ·ÏÊ·‚‹Ù·˜. ™Â ÔÈ· ̆ ¿Ú¯Ô˘Ó ·Ú¿ÏÏËÏ· ¢ı‡ÁÚ·ÌÌ· ÙÌ‹Ì·Ù·; T· ۯ‰ȿ˙ˆ.
Á. ¶ÔÈ· ÙÚfiÊÈÌ· ‰ÂÓ Ú¤ÂÈ Ó· ·ÁÔÚ¿ÛÔ˘Ó Ù· ·È‰È¿ ÁÈ·Ù› ¤¯Ô˘Ó Ï‹ÍÂÈ; T· ΢ÎÏÒÓˆ.
‚. ™Â οı ‚·ÁfiÓÈ Ú¿ÛÈÓÔ ̄ ˆÚ¿Ó 50 ÂÈ‚¿Ù˜.
™Â οı Á·Ï¿˙ÈÔ ̄ ˆÚ¿Ó 48.
™Â οı ΛÙÚÈÓÔ ̄ ˆÚ¿Ó 52.
¶fiÛÔÈ Û˘ÓÔÏÈο ÂÈ‚¿Ù˜ ̄ ˆÚ¿Ó ÛÙÔ ÙÚ¤ÓÔ;
∂ÎÙÈÌÒ: ¶ÂÚ›Ô˘ ....... ÂÈ‚¿Ù˜.
HÌÂÚÔÌËÓ›· Ï‹Í˘: 30 M·˝Ô˘ 2005.
HÌÂÚÔÌËÓ›· Ï‹Í˘: 30 ™ÂÙÂÌ‚Ú›Ô˘ 2008.
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ENOTHTA 9
39TÚÈ¿ÓÙ· ÂÓÓ¤·
ÀÔÏÔÁ›˙ˆ ÌÂ ·ÎÚ›‚ÂÈ·:
‰. O ªÈ¯¿Ï˘ Ì ÙËÓ ·Ú¤· ÙÔ˘ ‹Á·Ó ÁÈ· ·ÁˆÙfi.
∫¿ı ·È‰› Ù˘ ·Ú¤·˜ Ï‹ÚˆÛ ÙÂÏÈο 4 ú. ¶fiÛ· ·È‰È¿ ‹Ù·Ó fiÏË Ë ·Ú¤·;
ªÔÚԇ̠ӷ ·ÁÔÚ¿ÛÔ˘Ì ÙԷڷ̇ıÈ Î·È ÌÂÙ¿ Ó· ¤¯Ô˘Ì¿ÏÈ Ù· ›‰È· ̄ Ú‹Ì·Ù·!
∏ ηıÂÌÈ¿ ¤¯ÂÈ 12 ú Î·È 50 Ï.
E̤ӷ ÌÂ Î¤Ú·Û·Ó ÁÈ·Ù› ›¯· ÁÂ-Ó¤ıÏÈ· Î·È ‰ÂÓ Ï‹ÚˆÛ· Ù›ÔÙ·.
¶‹Ú·Ì fiÏÔÈ ·fi ¤Ó· ·ÁˆÙfi = 3 ú
¶fiÛ· ̄ Ú‹Ì·Ù· Ú¤ÂÈ Ó· ‰ÒÛÂÈ ÙÔ Î¿ı ÎÔÚ›ÙÛÈ ÒÛÙ ӷ ÙÔ˘˜ Ì›ÓÔ˘Ó Ù· ›‰È· ̄ Ú‹Ì·Ù·;
∂ÎÙÈÌÒ: ¶ÂÚ›Ô˘ .......
ºÙÈ¿¯Óˆ ¤Ó· Úfi‚ÏËÌ· Ô˘ χÓÂÙ·È Ì ‰È·›ÚÂÛË. O ‰ÈÏ·Ófi˜ ÌÔ˘ Ì ÙÔ˘˜ ›‰ÈÔ˘˜·ÚÈıÌÔ‡˜ ÊÙÈ¿¯ÓÂÈ ¤Ó· Úfi‚ÏËÌ· Ô˘ χÓÂÙ·È Ì ÔÏÏ·Ï·ÛÈ·ÛÌfi.
Â.
ÛÙ.
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¢ÈÏ·ÛÈ¿˙ˆ ̂ ˜ ÙÔ 100™ÎÔfi˜: ¡ÔÂÚÔ› ˘ÔÏÔÁÈÛÌÔ› – ‰ÈÏ¿ÛÈÔ.
ÀÏÈÎfi: ¶›Ó·Î·˜, ÎÈ̈ϛ˜, ¤Ó· ˙¿ÚÈ.
¶Ò˜ ·›˙ÂÙ·È: 2 ·›ÎÙ˜ ‹ 2 ÔÌ¿‰Â˜. •ÂÎÈÓ¿ÂÈ Ô ·›ÎÙ˘ (‹ Ë ÔÌ¿‰·) Ô˘ ¤ÊÂÚ ÙÔÌÂÁ·Ï‡ÙÂÚÔ ·ÚÈıÌfi Ì ÙÔ ˙¿ÚÈ.
∫·ÓfiÓ˜: •ÂÎÈÓ¿ÂÈ Ô ÚÒÙÔ˜ ·›ÎÙ˘ (‹ ÔÌ¿‰·). §¤ÂÈ ¤Ó· ÌÔÓÔ„‹ÊÈÔ ·ÚÈıÌfi. √ÂfiÌÂÓÔ˜ ·›ÎÙ˘ (‹ ÔÌ¿‰·) Ú¤ÂÈ Ó· ·ÎÔ‡ÛÂÈ ÙÔÓ ·ÚÈıÌfi Ô˘ Â›Â Ô ÚÔËÁÔ‡ÌÂÓÔ˜·›ÎÙ˘ (‹ Ë ÚÔËÁÔ‡ÌÂÓË ÔÌ¿‰·) Î·È ÙÔÓ ‰ÈÏ·ÛÈ¿˙ÂÈ. √ ‰¿ÛηÏÔ˜ ÁÚ¿ÊÂÈ ÛÙÔÓ ›Ó·Î·ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘ ϤÓ ÔÈ Ì·ıËÙ¤˜ Ì ÙË ÛÂÈÚ¿. µ¿˙ÂÈ 1 ‚·ıÌfi Û οı ÔÌ¿‰· Ô˘‰ÈÏ·Û›·Û ۈÛÙ¿ ÙÔÓ ·ÚÈıÌfi. ∫ÂÚ‰›˙ÂÈ Ë ÔÌ¿‰· Ô˘ Û˘ÁΤÓÙÚˆÛ ÙÔ˘˜ ÂÚÈÛÛfiÙÂÚÔ˘˜‚·ıÌÔ‡˜. ∆Ô ·È¯Ó›‰È ÛÙ·Ì·Ù¿ÂÈ fiÙ·Ó ÊÙ¿ÛÔ˘Ó Û ·ÚÈıÌfi Ô˘, ·Ó ‰ÈÏ·ÛÈ·ÛÙ›,ÍÂÂÚÓ¿ÂÈ ÙÔ 100.
¶·Ú·ÏÏ·Á‹: √ ÚÒÙÔ˜ ·›ÎÙ˘ ÍÂÎÈÓ¿ÂÈ ·fi ‰È„‹ÊÈÔ ·ÚÈıÌfi Î·È ÙÔ ·È¯Ó›‰È ÛÙ·Ì·Ù¿fiÙ·Ó ÊÙ¿ÛÔ˘Ó Û ·ÚÈıÌfi Ô˘, ·Ó ‰ÈÏ·ÛÈ·ÛÙ›, ÍÂÂÚÓ¿ÂÈ ÙÔ 1.000.
√È 5 ̇ ·ÚȤ˜
™ÎÔfi˜: NÔÂÚÔ› ˘ÔÏÔÁÈÛÌÔ› Û ‰È„‹ÊÈÔ˘˜ (ÚÔÛı¤ÛÂȘ, ·Ê·ÈÚ¤ÛÂȘ, ÔÏÏ·Ï·ÛÈ·ÛÌÔ›).
ÀÏÈÎfi: 1 ˙¿ÚÈ, ÛËÌÂȈ̷ٿÚÈÔ, ÌÔχ‚È.
¶Ò˜ ·›˙ÂÙ·È: 2, 3 ‹ 4 ·›ÎÙ˜ ·›˙Ô˘Ó Ì ÙË ÛÂÈÚ¿ ÙÔ˘˜ (Ú›¯ÓÔ˘Ó ˙¿ÚÈ Î·È ·›˙ÂÈ ÚÒÙÔ˜fiÔÈÔ˜ ʤÚÂÈ ÙÔ ÌÂÁ·Ï‡ÙÂÚÔ ·ÚÈıÌfi ÎÙÏ.).
∫·ÓfiÓ˜: ∫¿ı ·›ÎÙ˘ Ú›¯ÓÂÈ 5 ‰È·‰Ô¯ÈΤ˜ ˙·ÚȤ˜. ∫·Ù·ÁÚ¿ÊÂÈ Î¿ı ÊÔÚ¿ ÙÔÓ ·ÚÈıÌfi Ô˘Ê¤ÚÓÂÈ Ì ÙÔ ˙¿ÚÈ. ™ÙÔ Ù¤ÏÔ˜ ÚÔÛı¤ÙÂÈ fiÏÔ˘˜ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘ ¤ÊÂÚÂ. ™˘Ó¯›˙ÂÈ ÔÂfiÌÂÓÔ˜ ·›ÎÙ˘. ∫ÂÚ‰›˙ÂÈ Ô ·›ÎÙ˘ Ô˘ ÌÂÙ¿ ·fi 5 Á‡ÚÔ˘˜ ¤¯ÂÈ ÊÙÈ¿ÍÂÈ ÙÔ ÌÂÁ·Ï‡ÙÂÚÔ·ÚÈıÌfi.
¶·Ú·ÏÏ·Á¤˜1. ∫¿ı ·›ÎÙ˘ ÚÔÛı¤ÙÂÈ ÙËÓ 1Ë, 2Ë, 3Ë Î·È 4Ë ˙·ÚÈ¿ Î·È ·Ê·ÈÚ› ÙËÓ 5Ë.2. ∆Ô ·È¯Ó›‰È ÌÔÚ› Ó· ·È¯Ù› Ì 2 ˙¿ÚÈ· fiˆ˜ ÂÚÈÁÚ¿ÊÂÙ·È ·Ú·¿Óˆ.3. ∆Ô ·È¯Ó›‰È ·›˙ÂÙ·È Ì 2 ˙¿ÚÈ· Î·È Î¿ı ·›ÎÙ˘ ÔÏÏ·Ï·ÛÈ¿˙ÂÈ ÙÔ˘˜ ·ÚÈıÌÔ‡˜ Ô˘
ʤÚÓÂÈ Î¿ı ÊÔÚ¿. ™ÙË Û˘Ó¤¯ÂÈ· ·ıÚÔ›˙ÂÈ ÙÔ˘˜ 5 ·ÚÈıÌÔ‡˜ Î·È Û˘Ó¯›˙ÂÈ Ô ÂfiÌÂÓÔ˜·›ÎÙ˘. ∫ÂÚ‰›˙ÂÈ fiÔÈÔ˜ ·›ÎÙ˘ ÌÂÙ¿ ·fi 5 Á‡ÚÔ˘˜ ¤¯ÂÈ ÊÙÈ¿ÍÂÈ ÙÔ ÌÂÁ·Ï‡ÙÂÚÔ ·ÚÈıÌfi.
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™·˙ÔÎÂÊ·ÏȤ˜™·˙ÔÎÂÊ·ÏȤ˜
Èڛ˙ˆ ÙÂÙÚ¿ÁˆÓ· ÛÙÔ ÙÂÙÚ·ÁˆÓÈṲ̂ÓÔ ̄ ·ÚÙ›:
Èڛ۷Ì ÙÔ ÎfiÎÎÈÓÔ ÙÂÙÚ¿ÁˆÓÔ Û 6
ÌÈÎÚfiÙÂÚ·.
Èڛ˙ˆ ÙÔ Ú¿ÛÈÓÔ ÙÂÙÚ¿ÁˆÓÔ
ÛÂ 6 ÌÈÎÚfiÙÂÚ·.
ºÙÈ¿¯Óˆ ·ÚÈıÌÔ‡˜.
™ÙÚ›‚ˆ ÙÔ˘˜ ‰Â›ÎÙ˜ Û οı ·ÎÏÔ. ¶ÔÈÔ˘˜ ·ÚÈıÌÔ‡˜ ÊÙÈ¿¯Óˆ ·Ó ÚÔÛı¤Ûˆ ÙÔÓ ·ÚÈı-
Ìfi ÙÔ˘ Ú¿ÛÈÓÔ˘ Ì ÙÔÓ ·ÚÈıÌfi ÙÔ˘ ÎfiÎÎÈÓÔ˘ ·ÎÏÔ˘ Î·È ÙÔÓ ·ÚÈıÌfi ÙÔ˘ ÌÏ ·ÎÏÔ˘;
™Â ¤Ó· ÙÂÙÚ¿ÁˆÓÔ ÙÚ·¤˙È Î¿ıÔÓÙ·È 4 ¿ÙÔÌ·.
™Â ‰‡Ô ÙÚ·¤˙È· οıÔÓÙ·È 6 ¿ÙÔÌ·.
°È· Ó· ÊÙÈ¿ÍÔ˘Ì ¤Ó· ÙÚ·¤˙È ÁÈ· 18 ¿ÙÔÌ·,
fiÛ· ›‰È· ÙÚ·¤˙È· ̄ ÚÂÈ¿˙ÂÙ·È Ó· ÂÓÒÛÔ˘ÌÂ;
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EN¢EIKTIKA ™Ã∂¢πA ∂ƒ°∞™π∞™ ™∆∏ µã ∆∞•∏(™Ã∂∆π∫∞ ∫∂º∞§∞π∞, £∂ª∞, ¢π∞£∂ª∞∆π∫√∆∏∆∞)
17, 20, 41 °Ú·Ùfi˜ ÏfiÁÔ˜ Î·È ÂÈÎÔÈÓˆÓ›·
∆ÚfiÔÈ ÂÈÎÔÈÓˆÓ›·˜ ·fi Ù· ·ÏÈ¿ ¯ÚfiÓÈ· ˆ˜ Û‹ÌÂÚ·, Ô ÚfiÏÔ˜ Ù˘ ÁÏÒÛÛ·˜, ÙˆÓ ‚È‚Ï›ˆÓ,Ù˘ ÙËÏÂfiÚ·Û˘, ÙˆÓ ÂÊËÌÂÚ›‰ˆÓ ÎÙÏ. ºÙÈ¿¯ÓÔ˘Ó ÚÔÛÎÏ‹ÛÂȘ ÁÈ· ÁÂÓ¤ıÏÈ·, ÁÈÔÚÙ¤˜,ηٷÏfiÁÔ˘˜ Ì ·ÁÔÚ¤˜, ÁÚ¿ÌÌ· Û οÔÈÔ ·Á·Ë̤ÓÔ ÚfiÛˆÔ. ¢È·‚¿˙Ô˘Ó ÈÛÙÔڛ˜ ηȷڷ̇ıÈ·. ™˘˙ËÙÔ‡Ó ÁÈ· ÙÔÓ ÙÚfiÔ Ô˘ ÂÈÎÔÈÓˆÓÔ‡Ó Ì¤Û· ÛÙËÓ ÔÈÎÔÁ¤ÓÂÈ¿ ÙÔ˘˜, ÌÂÙÔ˘˜ Ê›ÏÔ˘˜ ÙÔ˘˜, ‚Ú›ÛÎÔ˘Ó ÙÚfiÔ˘˜ Ó· ¤¯Ô˘Ó ηχÙÂÚË ÂÈÎÔÈÓˆÓ›·.ñª·ıËÌ·ÙÈο.ñ¢È·‰›ÎÙ˘Ô.ñ°ÏÒÛÛ·.ñ§ÔÁÔÙ¯ӛ· (√ ÌÈÎÚfi˜ οÛÙÔÚ·˜ Î·È Ë ∏¯Ò, EΉfiÛÂȘ ƒÒÛÛË. ª¿ÓÙ„ fiÛÔ Û’ ·Á·Ò,
EΉfiÛÂȘ ¶··‰fiÔ˘ÏÔ˜. ∆· ÁÏ˘Î¿ ÏÔÁ¿ÎÈ·, EΉfiÛÂȘ ™‡Á¯ÚÔÓÔÈ √Ú›˙ÔÓÙ˜).ñªÂϤÙË ÂÚÈ‚¿ÏÏÔÓÙÔ˜.ñ£Â·ÙÚÈÎfi ¶·È¯Ó›‰È (‰Ú·Ì·ÙÔÔ›ËÛË).
4, 24, 26, 31, 39, 40, 42, 45 ∂·ÁÁ¤ÏÌ·Ù·: ·ÏÈ¿ Î·È Û‡Á¯ÚÔÓ·
™˘Ó¤ÓÙ¢ÍË Ì ÁÔÓ›˜, ·Ô‡‰Â˜ Û¯ÂÙÈο Ì ÙÔ Â¿ÁÁÂÏÌ¿ ÙÔ˘˜, Û¯ÂÙÈο Ì·ı‹Ì·Ù· ÛÙ˪ÂϤÙË ¶ÂÚÈ‚¿ÏÏÔÓÙÔ˜, ·ÁÁ¤ÏÌ·Ù· Û ۯ¤ÛË Ì ÙÔÓ ÙfiÔ fiÔ˘ ˙Ô˘Ó ÔÈ ¿ÓıÚˆÔÈ, ËÛËÌ·Û›· Ù˘ ÂÚÁ·Û›·˜.ñª·ıËÌ·ÙÈο.ñ°ÏÒÛÛ·.ñ∞ÈÛıËÙÈ΋ AÁˆÁ‹.ñ§ÔÁÔÙ¯ӛ· (√ ÕÚ˘ Ô ÙÛ·ÁοÚ˘, EΉfiÛÂȘ ª›Óˆ·˜. ∆Ô ‰ÒÚÔ Ù˘ ·ÏˆÌ·ÙÔ‡˜, EΉfiÛÂȘ
ÕÁ΢ڷ. ◊Ù·Ó ¤Ó· ÌÈÎÚfi ¯·ÚÙ¿ÎÈ, EΉfiÛÂȘ ¢ÂÏÊ›ÓÈ).
36 √È Ì˯·Ó¤˜ ÛÙË ˙ˆ‹ Ì·˜(¶Ô‡ ÙȘ ‚Ï¤Ô˘ÌÂ, ÙȘ ¯ÚËÛÈÌÔÔÈÔ‡ÌÂ, Û ÙÈ Ì·˜ ‚ÔËıÔ‡Ó, ÙÈ ÁÈÓfiÙ·Ó·ÏÈ¿ Ô˘ ‰ÂÓ ˘‹Ú¯·Ó, fiÛÔ ÂÈΛӉ˘Ó˜ ›ӷÈ, ·Ú·‰Â›ÁÌ·ÙÔ˜ ¯¿ÚË,ÔÈ ËÏÂÎÙÚÈΤ˜ Û˘Û΢¤˜ Î.ÙÏ.).
∆· ·È‰È¿ ·Ú·ÙËÚÔ‡Ó, ηٷÁÚ¿ÊÔ˘Ó ·fi ÙËÓ Î·ıËÌÂÚÈÓ‹ ÙÔ˘˜ ˙ˆ‹, ‚Ú›ÛÎÔ˘ÓÏËÚÔÊÔڛ˜, ÁÈ· ÙȘ Ì˯·Ó¤˜ Ô˘ ¤¯Ô˘Ó ÂÍÔÈÎÂȈı› οÓÔ˘Ó ÎÔÏ¿˙, ˙ˆÁÚ·ÊȤ˜. °ÓˆÚ›˙Ô˘ÓÙÔÓ ˘ÔÏÔÁÈÛÙ‹ Ùۤ˘.ñª·ıËÌ·ÙÈο.ñ°ÏÒÛÛ·.ñ§ÔÁÔÙ¯ӛ· (ª˘ıÔÏÔÁ›·, √ ¢·›‰·ÏÔ˜ Î·È Ô ÿηÚÔ˜, EΉfiÛÂȘ ∫¤‰ÚÔ˜).ñ∞ÈÛıËÙÈ΋ ∞ÁˆÁ‹.ñªÂϤÙË ¶ÂÚÈ‚¿ÏÏÔÓÙÔ˜.
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7, 13, 14, 34, 39, 50,4, 17, 32, 33, 38, 42, 44, 47, 48, 50
∞ÁˆÁ‹ ÀÁ›·˜ ÙÔ ·Á·Ë̤ÓÔ ÌÔ˘ Ê·ÁËÙfi
T· ·È‰È¿ Û˘˙ËÙÔ‡Ó, ηٷÁÚ¿ÊÔ˘Ó ÙÔ ·Á·Ë̤ÓÔ ÙÔ˘˜ Ê·ÁËÙfi (Û˘ÓÙ·Á‹) Î·È ÙȘ ‰È·ÙÚÔÊÈΤ˜ÙÔ˘˜ ÚÔÙÈÌ‹ÛÂȘ. ™˘˙ËÙ¿Ì ÁÈ· ÙÔ fiÛÔ ˘ÁÈÂÈÓ¤˜ ›ӷÈ. ªÈÏ¿Ì ÁÈ· ÙË ÌÂÛÔÁÂȷ΋ ‰È·ÙÚÔÊ‹Î·È Ù· Û˘ÓÙËÚËÙÈο ÛÙ· ÙÚfiÊÈÌ·, ÙËÓ ·Ó¿ÁÎË ÂÓfi˜ ηÏÔ‡ ÚˆÈÓÔ‡ ÎÙÏ.
ªÂÁ·ÏÒÓˆ
∆È ÛËÌ·›ÓÂÈ ÌÂÁ·ÏÒÓˆ, Û¯ÂÙÈο Ì·ı‹Ì·Ù· ÛÙË ªÂϤÙË ¶ÂÚÈ‚¿ÏÏÔÓÙÔ˜. ∆· ·È‰È¿˙ˆÁÚ·Ê›˙Ô˘Ó ÙÔÓ Â·˘Ùfi ÙÔ˘˜ fiˆ˜ Â›Ó·È ÙÒÚ· Î·È fiˆ˜ ÙÔÓ Ê·ÓÙ¿˙ÔÓÙ·È «fiÙ·Ó ÌÂÁ·ÏÒÛÔ˘Ó»,Î·È ÁÚ¿ÊÔ˘Ó Û¯ÂÙÈο. ™˘˙ËÙÔ‡Ó ÙÈ ‰ÂÓ ÌÔÚÔ‡Ó Ó· οÓÔ˘Ó ÙÒÚ· ÁÈ·Ù› Â›Ó·È ÌÈÎÚÔ›(‰ÈηÈÒÌ·Ù· Î·È ˘Ô¯ÚÂÒÛÂȘ) Î·È ÙÈ ı¤ÏÔ˘Ó Ó· οÓÔ˘Ó fiÙ·Ó ÌÂÁ·ÏÒÛÔ˘Ó (ÂÈÏÔÁ‹Â·ÁÁ¤ÏÌ·ÙÔ˜).ñ°ÏÒÛÛ·.ñ§ÔÁÔÙ¯ӛ· (∏ ºÈÊ‹ Î·È Ë ºˆÊÒ, ÔÈ Ê·ÓÙ·Ṳ̂Ó˜ Ê¿Ï·ÈÓ˜, EΉfiÛÂȘ ª›Óˆ·˜. √ ¡Ù›ÎÔ˜ Ô
ÂÈÓ¿Ï·˜, EΉfiÛÂȘ ¢ÂÏÊ›ÓÈ).ñªÂϤÙË ¶ÂÚÈ‚¿ÏÏÔÓÙÔ˜.ñ∞ÈÛıËÙÈ΋ ∞ÁˆÁ‹.ñ°ÏÒÛÛ·.ñ§ÔÁÔÙ¯ӛ· (∆Ô ¯¿ÓÔ˘Ì Ù˘ ¶·Ú¿Û¯Ô˘, EΉfiÛÂȘ ¶·Ù¿ÎË).ñªÂϤÙË ¶ÂÚÈ‚¿ÏÏÔÓÙÔ˜.ñ∞ÈÛıËÙÈ΋ ∞ÁˆÁ‹.ñ§ÔÁÔÙ¯ӛ· (∆Ô ∫›‚È, EΉfiÛÂȘ ¶·Ù¿ÎË. ∆Ô ÎÔ˘ÛÙÔ‡ÌÈ, ‰Â Ì ̤ÏÂÈ, EΉfiÛÂȘ ¶·Ù¿ÎË).
51, 52 ∏ ÁÂÈÙÔÓÈ¿ ÌÔ˘
∑ˆÁÚ·ÊÈ΋, ÎÔÏ¿˙, ÁÚ¿ÊÔ˘Ó ÁÈ· ÙÔ Û›ÙÈ ÙÔ˘˜ (‰È·Ì¤ÚÈÛÌ·, ÌÔÓÔηÙÔÈΛ·, Á›ÙÔÓ˜), ÙËÁÂÈÙÔÓÈ¿ ÙÔ˘˜ (‰ÚfiÌÔÈ, Û›ÙÈ· ÎÙÏ.), Û¯ÂÙÈο Ì·ı‹Ì·Ù· ÛÙË ªÂϤÙË ¶ÂÚÈ‚¿ÏÏÔÓÙÔ˜,∫·Ù·ÁÚ¿ÊÔ˘Ó ÙË ‰È‡ı˘ÓÛË ÙÔ˘ ÛÈÙÈÔ‡ ÙÔ˘˜, ÙÔ ÙËϤʈÓfi ÙÔ˘˜ (·Ú·ÙËÚÔ‡Ó ÎÔÈÓ¿ÛÙÔȯ›·), ÙÚfiÔÈ ÌÂٷΛÓËÛ˘ ÛÙË ÁÂÈÙÔÓÈ¿ (‰ÚfiÌÔÈ ÌÈÎÚ‹˜ ‹ ÌÂÁ¿Ï˘ ΢ÎÏÔÊÔÚ›·˜).ñª·ıËÌ·ÙÈο.ñ°ÏÒÛÛ·.ñ§ÔÁÔÙ¯ӛ· (√ ÕÚÙÛÈÌ·ÏÓÙ, EΉfiÛÂȘ ¶··‰fiÔ˘ÏÔ˜).ñªÂϤÙË ¶ÂÚÈ‚¿ÏÏÔÓÙÔ˜.ñ∞ÈÛıËÙÈ΋ AÁˆÁ‹.
52, 51 ∫˘ÎÏÔÊÔÚȷ΋ ·ÁˆÁ‹
T· ·È‰È¿ ·Ú·ÙËÚÔ‡Ó Ù· Û‹Ì·Ù· Ù˘ ÙÚÔ¯·›·˜ ÛÙÔÓ ÎÒ‰Èη Ô‰È΋˜ ΢ÎÏÔÊÔÚ›·˜, Ù·˙ˆÁÚ·Ê›˙Ô˘Ó, ÂÍÔÈÎÂÈÒÓÔÓÙ·È Ì ÙË ÛËÌ·Û›· ÙÔ˘˜, οÓÔ˘Ó ÎÔÏ¿˙. ∂›ÛÎÂ„Ë Û ¿ÚÎÔ΢ÎÏÔÊÔÚȷ΋˜ ·ÁˆÁ‹˜.ñª·ıËÌ·ÙÈο.ñ°ÏÒÛÛ·.ñªÂϤÙË ¶ÂÚÈ‚¿ÏÏÔÓÙÔ˜.ñ∞ÈÛıËÙÈ΋ AÁˆÁ‹.ñ§ÔÁÔÙ¯ӛ·.
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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 (ºEK 1946, 108, Aã).
∞·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˘.
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