=> bo`linadi; 5678

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Bog'liq
2.BO`LINISH BELGILARI

28 ga bo`linish belgisi

4 ga ham, 7 ga ham bo`linadigan sonlar 28 ga bo`linadi.
Masalan, 1) 3780, a) 80:4=20 => 4 ga bo`linadi,
^b)^37–⁸^∙²⁼^21,²¹^:⁷⁼³⁼^{> 7}^g^a^bo^`^lⁱ^ndⁱ^.
^D^e^m^ak,³⁷⁸⁰^s^o^{ni 28}^g^a^b^o^`^li^nadⁱ^.

2) 6548, a) 48:4=12 => 4 ga bo`linadi,

^b)^654–⁸^∙²⁼⁶³⁸^,⁶^3–⁸^∙²⁼^47,⁴⁷^:⁷⁼^{> 7}^g^a^bo^`^lⁱⁿ^m^a^y^dⁱ^.
^D^e^m^ak,⁶⁵⁴⁸^s^o^{ni 28}^g^a^bo^`^liⁿ^m^a^y^dⁱ^.

Topshiriq: 28 ga bo`linadigan ikkita to`rt xonali son yozing va bo`linish belgisi orqali
bo`linishini ko`rsating.

29 ga bo`linish belgisi

Sondagi o`nlar soni bilan birlar xonasidagi son uchlanganining yig`indisi 29 ga bo`linsa, bu son 29 ga bo`linadi.
^M^a^s^a^l^an,^{1) 2581,}²⁵⁸⁺¹^∙³⁼^261,²⁶⁺¹^∙³⁼^29,²⁹^:²⁹⁼¹⁼^{> bo}^`^lⁱ^nadⁱ^.
2) 8769, 876+9∙3=903, 90+3∙3=99, 99:29 => bo`linmaydi.
^Topshiriq: ²⁹^g^a^bo^`^lⁱⁿ^adⁱ^g^anⁱ^kkⁱ^t^a^t^o^`^r^{t x}^oⁿ^a^lⁱ^s^oⁿ^yo^zⁱⁿ^g^v^a^bo^`^liⁿⁱ^s^h^b^e^l^gⁱ^sⁱ
^orqali bo`linishini ko`rsating.

30 ga bo`linish belgisi

3 ga ham, 10 ga ham bo`linadigan sonlar 30 ga bo`linadi.
Masalan, 1) 3450, a) 3+4+5+0=12, 12:3=4 => 3 ga bo`linadi, b) oxirgi raqami 0 => 10 ga bo`linadi.
Demak, 3450 soni 30 ga bo`linadi.

2) 5570, 5+5+7+0=17, 17:3 => 3 ga bo`linmaydi.

Demak, 5570 soni 30 ga bo`linmaydi.

Topshiriq: 30 ga bo`linadigan ikkita to`rt xonali son yozing va bo`linish belgisi orqali bo`linishini ko`rsating.
BO`LINISH BELGILARI,
mavzusidagi testlar
1-misol. Quyidagi sonlardan qaysi biri 36 ga qoldiqsiz bo`linmaydi?
A) 2016 B) 3924 C) 1782 D) 8244 E) 2484

_Y_ech_i_s_h:_A_v_v_a_l₃₆_g_a_b_o_`_li_n_i_s_h_be_l_g_i_s_i_n_{i h}_o_s_i_l_q_i_li_b_o_l_a_mi_z.

36	2	36=2∙2∙3∙3=2²∙3²=4∙9. Demak, 4 ga ham, 9 ga ham bo`linadigan sonlar 36 ga
18	2	bo`linadi. 4 ga bo`linish belgisi bo`yicha barcha javob variantlarini tekshirib
9	3	chiqamiz. Ko`rinib turibdiki, 1782 soni 4 ga bo`linmaydi, bundan uning 36 ga
3	3	ham bo`linmasligi kelib chiqadi. Javob: 1782. (C)
1

Topshiriq: Quyidagi sonlardan qaysi biri 45 ga qoldiqsiz bo`linadi?
^A^{) 4}²^∙⁸⁵^B⁾³⁵^∙⁶¹^C⁾⁸⁰^∙¹²³^D⁾³⁶^∙²⁰^E⁾¹⁴³^∙⁸⁰^J^a^vob:³⁶^∙^20.⁽^D⁾
²^-^mⁱ^s^o^l^.^B^e^rⁱ^l^gan^s^oⁿ^l^a^r^d^aⁿ^q^a^y^sⁱ^l^a^r^{i 15}^g^a^qo^l^dⁱ^q^sⁱ^z^bo^`^liⁿ^adⁱ^?
^x⁼^220350,^y⁼³^,²¹^∙¹⁰6^,^z⁼¹⁰²⁴¹⁴⁵^.^A⁾^f^{aqat x}^B⁾^f^aqat^z^C^{) y}^v^a^z^D⁾^x^v^a^y^E^{) x}^v^a^z
^Y^echⁱ^s^h:^x⁼^220350,^{1) 2}⁺²⁺⁰⁺³⁺⁵⁺⁰⁼^12,¹²^:³⁼⁴⁼^{> 3}^g^a^bo^`^lⁱ^nadⁱ^,
2) oxirgi raqami 0 => 5 ga bo`linadi. Demak, x soni 15 ga bo`linadi.
^y⁼³^,²¹^∙¹⁰6⁼³^,²¹^∙^1000000⁼³²¹⁰⁰⁰⁰^{, 1) 3}⁺²⁺¹⁼^6,⁶^:³⁼²⁼^{> 3}^g^a^bo^`^liⁿ^a^dⁱ^,
²⁾⁰^bⁱ^l^an^t^u^g^a^y^dⁱ⁼^{> 5}^g^a^b^o^`^li^nadi.^D^e^m^ak,^y^s^oⁿⁱ¹⁵^g^a^bo^`^lⁱ^nadⁱ^.^Javob:^x^va^y.⁽^D⁾
^T^opshⁱ^rⁱ^q:^x⁼³^0112,^y⁼³^,³^∙¹⁰5 ^v^a^z⁼¹⁰²⁵⁸⁸^s^oⁿ^l^a^rⁱ^dan^q^a^y^sⁱ^l^a^r^{i 12}^g^a
^q^o^l^dⁱ^q^sⁱ^z^b^o^`^li^nadⁱ^?
A) faqat y B) faqat z C) x va z D) faqat z E) y va z Javob: y va z. (E)
³^-^mⁱ^s^o^l^.⁽^3p–3⁾^s^oⁿ^{1, 2, 3,}⁶^,⁹^v^a¹⁸^s^oⁿ^l^a^ri^g^a^qo^l^dⁱ^q^sⁱ^z^bo^`^li^nadⁱ^.^pⁿⁱ^ng^eⁿ^g
^kⁱ^chⁱ^k^na^t^u^r^a^l^qⁱ^y^m^a^tiⁿⁱ^t^o^pⁱⁿ^g^.^A⁾¹⁴^B^{) 21}^C^{) 7}^D⁾⁵^E^{) 24}

Yechish: Dastlab, berilgan sonlarning barchasiga bo`linadigan eng kichik natural sonni aniqlaymiz. Bu son 18 ga teng. Endi esa p ni topamiz:
3p–3=18 => 3p=18+3, 3p=21 => p=7. Javob: p=7. (C)

^T^opshⁱ^rⁱ^q:⁽³^r^–³⁾^s^oⁿ^1,²^,³^,⁶^,⁹^,¹⁸^v^a²¹^s^oⁿ^l^a^rⁱ^g^a^qo^l^dⁱ^q^sⁱ^z
^bo^`^li^na^dⁱ^.^{r n}ⁱ^ng^eⁿ^g^kⁱ^chⁱ^k^na^t^u^r^a^{l q}ⁱ^y^m^a^tⁱⁿⁱ^t^o^pⁱⁿ^g^.
A) 41 B) 42 C) 7 D) 43 Javob: 43. (D)

1996-2007 Matematika 1-bob.2-mavzu M.H.Sharopov.

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