Contents
- Ma'anar lambobi na halitta
- Sauƙaƙe Properties na lambobi na halitta
- Tebur na lambobi daga 1 zuwa 100
- Wadanne ayyuka zasu yiwu akan lambobi na halitta
- Ƙididdigar ƙima ta lamba ta halitta
- Ma'anar adadi na lambobi na halitta
- Lambobin dabi'a mai lamba ɗaya, lambobi biyu da lambobi uku
- Lambobin halitta masu yawa
- Abubuwan halayen lambobi
- Siffofin lambobi na halitta
- Abubuwan halayen lambobi
- Lambobin dabi'a da ƙimar lambobi
- Tsarin lamba goma
- Tambaya don gwada kai
Nazarin ilimin lissafi yana farawa da lambobi na halitta da aiki tare da su. Amma bisa fahimta mun riga mun san abubuwa da yawa tun muna kanana. A cikin wannan labarin, za mu saba da ka'idar kuma mu koyi yadda ake rubuta da kuma furta lambobi masu rikitarwa daidai.
A cikin wannan ɗaba'ar, za mu yi la'akari da ma'anar lambobi na halitta, jera manyan kaddarorinsu da ayyukan lissafin da aka yi tare da su. Hakanan muna ba da tebur mai lambobi daga 1 zuwa 100.
Ma'anar lambobi na halitta
Integers – Waɗannan su ne duk lambobin da muke amfani da su lokacin ƙirgawa, don nuna jerin adadin wani abu, da sauransu.
halitta jerin shi ne jerin duk lambobi na halitta da aka tsara bisa tsari masu hawa. Wato 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, da dai sauransu.
Saitin duk lambobi na halitta bayyana kamar haka:
N={1,2,3,…n,…}
N saitin ne; ba shi da iyaka, domin ga kowa n akwai lamba mafi girma.
Lambobin halitta lambobi ne waɗanda muke amfani da su don ƙidaya takamaiman wani abu, mai zahiri.
Ga lambobin da ake kira na halitta: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, da dai sauransu.
Silsilar dabi'a jeri ce ta dukkan lambobi na halitta da aka tsara cikin tsari mai hawa. Ana iya ganin dari na farko a cikin tebur.
Sauƙaƙe Properties na lambobi na halitta
- Sifili, marasa lamba (jama'a) da lambobi mara kyau ba lambobi ba ne. Misali:-5, -20.3, 3/7, 0, 4.7, 182/3 kuma mafi
- Mafi ƙarancin lamba na halitta ɗaya ne (bisa ga dukiyar da ke sama).
- Tun da jerin abubuwan halitta ba su da iyaka, babu adadi mafi girma.
Tebur na lambobi daga 1 zuwa 100
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
| 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 |
| 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 |
| 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 |
| 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 |
| 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79 | 80 |
| 81 | 82 | 83 | 84 | 85 | 86 | 87 | 88 | 89 | 90 |
| 91 | 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99 | 100 |
Wadanne ayyuka zasu yiwu akan lambobi na halitta
- kari:
lokaci + lokaci = jimla; - yawaita:
mai yawa × mai yawa = samfur; - ragi:
minuend - subtrahend = bambanci.
A wannan yanayin, minuend dole ne ya zama mafi girma fiye da subtrahend, in ba haka ba sakamakon zai zama mummunan lamba ko sifili;
- rabo:
rabo: mai rabo = ƙididdiga; - rabo da saura:
rabo / rabawa = ƙididdiga (raguwa); - fassarar:
ab , inda a shine tushen digiri, b shine ma'anar.
Menene Lambobin Halitta?
Ƙididdigar ƙima ta lamba ta halitta
A makaranta, muna ta hanyar batun lambobi na halitta a cikin aji na 5, amma a zahiri, abubuwa da yawa na iya zama bayyananne a gare mu ko da a baya. Bari mu yi magana game da muhimman dokoki.
Muna amfani da lambobi akai-akai: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Lokacin rubuta kowace lamba ta halitta, zaku iya amfani da waɗannan lambobi kawai ba tare da wasu alamomi ba. Muna rubuta lambobi ɗaya bayan ɗaya a cikin layi daga hagu zuwa dama, ta amfani da tsayi iri ɗaya.
Misalai na daidai rubutun lambobi: 208, 567, 24, 1467, 899112. Waɗannan misalan suna nuna mana cewa jerin lambobi na iya bambanta kuma wasu ma ana iya maimaita su.
077, 0, 004, 0931 misalan kuskure ne na lambobi na halitta, saboda sifili yana gefen hagu. Lambar ba za ta iya farawa daga sifili ba. Wannan shine wakilcin ƙima na lamba ta halitta.
Ma'anar adadi na lambobi na halitta
Lambobin halitta suna ɗauke da ma'ana ta ƙididdigewa, wato, suna aiki azaman kayan aiki don ƙidayawa.
Ace muna da ayaba 🍌 a gabanmu. Za mu iya rikodin cewa muna ganin banana 1. A wannan yanayin, ana karanta lambar halitta 1 a matsayin "ɗaya" ko "ɗaya".
Amma kalmar “raka’a” tana da wata ma’ana: wadda za a iya la’akari da ita gaba ɗaya. Za a iya nuna wani abu na saitin ta naúra. Misali, duk wata bishiyar da ke cikin bishiya raka’a ce, duk wani ganyen ganyen ganyen raka’a ne.
Ace muna da ayaba 2 🍌🍌 a gabanmu. Ana karanta lambar halitta 2 a matsayin "biyu". Bugu da ƙari, ta hanyar misalin:
🍌🍌🍌 abubuwa 3 ("uku")
🍌🍌🍌🍌 abubuwa 4 ("hudu")
🍌🍌🍌🍌🍌 abubuwa 5 ("biyar")
🍌🍌🍌🍌🍌🍌 abubuwa 6 ("shida")
🍌🍌🍌🍌🍌🍌🍌 abubuwa guda 7 ("bakwai")
🍌🍌🍌🍌🍌🍌🍌🍌 abubuwa guda 8 ("takwas")
🍌🍌🍌🍌🍌🍌🍌🍌🍌 abubuwa guda 9 ("nine")
Babban aikin lambar halitta shine nuna adadin abubuwa.
Idan rikodin lamba ya dace da lamba 0, to ana kiran shi "sifili". Ka tuna cewa sifili ba adadi ba ne, amma yana iya nufin rashi. Abubuwan sifili na nufin babu.
Lambobin dabi'a mai lamba ɗaya, lambobi biyu da lambobi uku
Lambar dabi'a mai lamba ɗaya lamba ce mai alama ɗaya da lambobi ɗaya. Lambobin dabi'a guda tara guda tara: 1, 2, 3, 4, 5, 6, 7, 8, 9.
Lambobin dabi'a masu lamba biyu su ne waɗanda ke da alamu biyu da lambobi biyu. Ana iya maimaita lambobin ko daban. Misali: 88, 53, 70.
Idan saitin abubuwa ya ƙunshi tara da ƙari ɗaya, to muna magana ne game da 1 goma ("dozin ɗaya") na abubuwa. Idan daya goma daya kuma, to muna da goma 2 ("goma biyu") da sauransu.
A haƙiƙa, lambobi mai lamba biyu saitin lambobi ne guda ɗaya, inda aka rubuta ɗaya a dama, ɗayan kuma a hagu. Lamba a hagu yana nuna adadin goma a cikin lambar halitta, kuma lambar da ke hannun dama tana nuna adadin raka'a. Akwai lambobi na dabi'a mai lamba 90 gabaɗaya.
Lambobin dabi'a masu lamba uku lambobi ne masu lambobi uku da lambobi uku. Misali: 666, 389, 702.
Dari saitin goma goma ne. Dari da wani ɗari – 2 ɗari. Bari mu ƙara ɗari – ɗari uku.
Haka ake rubuta lamba mai lamba uku: ana rubuta lambobi ɗaya bayan ɗaya daga hagu zuwa dama.
Maɗaukakin lambobi ɗaya na dama yana nuna adadin raka'a, na gaba yana nuna adadin goma, na hagu kuma yana nuna adadin ɗaruruwa. Lambar 0 tana nuna rashin raka'a ko goma. Don haka 506 shine ɗaruruwan 5, 0 ten kuma guda 6.
Lambobin lambobi huɗu, lambobi biyar, lambobi shida da sauran lambobi na halitta ana bayyana su ta hanya ɗaya.
Lambobin halitta masu yawa
Lambobin dabi'a masu yawa sun ƙunshi lambobi biyu ko fiye.
1,000 saitin ne da dari goma, 1,000,000 dubu ne, biliyan daya kuma miliyan dubu ne. Miliyan dubu, ku yi tunani! Wato, zamu iya la'akari da kowace lamba ta dabi'a mai ƙima a matsayin saitin lambobi na halitta masu kima guda ɗaya.
Misali, 2 873 206 ya ƙunshi: raka'a 6, 0 tenun, ɗari biyu, dubu 2, dubun 3, dubu ɗari 7 da miliyan biyu.
Lambobin halitta nawa ne akwai?
Lambobi ɗaya 9, lamba biyu 90, lamba uku 900, da sauransu.
Abubuwan halayen lambobi
Mun riga mun sani game da fasali na lambobi na halitta. Kuma yanzu bari muyi magana game da kadarorin su dalla-dalla:
Ma'anar lambar halitta
Lambobin halitta lambobi ne waɗanda muke amfani da su don ƙidaya takamaiman wani abu, mai zahiri.
Ga lambobin da ake kira na halitta: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, da dai sauransu.
Silsilar dabi'a jeri ce ta dukkan lambobi na halitta da aka tsara cikin tsari mai hawa. Ana iya ganin dari na farko a cikin tebur.
Siffofin lambobi na halitta
Mafi ƙanƙanta lambar halitta: ɗaya (1).
Lamba mafi girma na halitta: babu shi. Jerin halitta ba shi da iyaka.
A cikin silsilar halitta, kowace lamba ta gaba ta fi ta baya da ɗaya girma: 1, 2, 3, 4, 5, 6, 7, da dai sauransu.
Saitin duk lambobi na halitta yawanci ana nuna su da harafin Latin N.
Wadanne ayyuka zasu yiwu akan lambobi na halitta
kari:
lokaci + lokaci = jimla;
yawaita:
mai yawa × mai yawa = samfur;
ragi:
minuend - subtrahend = bambanci.
A wannan yanayin, minuend dole ne ya zama mafi girma fiye da subtrahend, in ba haka ba sakamakon zai zama mummunan lamba ko sifili;
rabo:
rabo: mai rabo = ƙididdiga;
rabo da saura:
rabo / rabawa = ƙididdiga (raguwa);
fassarar:
ab , inda a shine tushen digiri, b shine ma'anar.
Yi rajista don darussan lissafi don ɗalibai daga maki 1 zuwa 11!
Warware aikin gida na lissafin ku na 5.
Cikakken bayani zai taimaka wajen fahimtar batun da ya fi rikitarwa.
Get
Abubuwan halayen lambobi
Mun riga mun sani game da fasali na lambobi na halitta. Kuma yanzu bari muyi magana game da kadarorin su dalla-dalla:
- saitin lambobi na halitta marasa iyaka kuma suna farawa daga ɗaya (1)
- kowane lamba na halitta yana biye da wani ya fi na baya da 1
- sakamakon raba lamba ta dabi'a da daya (1) lambar dabi'a kanta: 5 : 1 = 5
- sakamakon raba lambar halitta da kanta naúrar (1): 6: 6 = 1
- commutative dokar tarawa daga sake tsara wuraren sharuɗɗan, jimlar ba ta canzawa: 4 + 3 = 3 + 4
- Dokokin haɗin gwiwa na ƙari sakamakon ƙara sharuɗɗa da yawa baya dogara ga tsarin aiki: (2 + 3) + 4 = 2 + (3 + 4)
- commutative doka na ninkawa daga permutation na wuraren abubuwan, samfurin ba zai canza ba: 4 × 5 = 5 × 4
- Dokokin haɗin gwiwa na ninkawa sakamakon samfurin abubuwan bai dogara da tsarin aiki ba; Kuna iya aƙalla son wannan, aƙalla kamar haka: (6 × 7) × 8 = 6 × (7 × 8)
- Dokar rarrabawa na ninkawa dangane da ƙari don ninka jimlar ta lamba, kuna buƙatar ninka kowane kalma ta wannan lamba kuma ƙara sakamakon: 4 × (5 + 6) = 4 × 5 + 4 × 6
- Dokar rarrabawa na ninkawa dangane da ragi don ninka bambancin da lamba, za ku iya ninka ta wannan lambar daban da aka rage da kuma cirewa, sannan ku cire na biyu daga samfurin farko: 3 × (4 - 5) = 3 × 4 - 3 × 5
- ka'idar rarrabawa game da ƙari don raba jimlar da lamba, zaku iya raba kowane kalma ta wannan lamba kuma ƙara sakamakon: (9 + 8): 3 = 9 : 3 + 8: 3
- ka'idar rabe-rabe game da ragi don raba bambancin da lamba, zaku iya raba da wannan lambar da aka rage da farko, sannan a cire, sannan ku cire na biyu daga samfurin farko: (5-3): 2 = 5: 2 − 3:2 ku
Lambobin dabi'a da ƙimar lambobi
Ka tuna cewa matsayin da lambar ke tsaye a kan rikodin lambar ya dogara da ƙimarsa. Don haka, alal misali, 1123 ya ƙunshi: raka'a 3, goma 2, ɗari, dubu ɗaya. Har ila yau, muna iya tsara shi daban kuma mu ce a cikin lambar da aka ba ta 1, lambar 1 tana cikin lambobi na raka'a, 1123 a cikin lambobi goma, 3 a cikin daruruwan lambobi, kuma 2 yana aiki a matsayin darajar dubban. lamba.
Lambobin shine matsayi, wurin da lambobi a cikin bayanin lamba na halitta.
Kowane rukuni yana da sunansa. Mafi mahimmancin lambobi koyaushe suna kan hagu, kuma mafi ƙarancin lambobi suna koyaushe akan dama. Don tunawa da sauri, zaka iya amfani da tebur.
Yawan lambobi koyaushe yayi daidai da adadin haruffan da ke cikin lambar. Wannan tebur yana da sunayen duk lambobi don lamba wacce ta ƙunshi haruffa 15. Waɗannan lambobi kuma suna da sunaye, amma ba kasafai ake amfani da su ba.
Mafi ƙasƙanci (mafi ƙanƙanci) lamba na lambobi masu ƙima da yawa shine lambobi.
Maɗaukakin lambobi (mafi girma) na lambobi masu ƙima da yawa shine lambobi daidai da mafi girman lambobi a cikin lambar da aka bayar.
Wataƙila kun lura cewa littattafan karatu sukan sanya ƙananan wurare yayin rubuta lambobi masu yawa. Anyi wannan ne domin lambobi na halitta su kasance da sauƙin karantawa. Haka kuma - don gani da raba nau'ikan lambobi daban-daban.
Aji rukuni ne na lambobi wanda ya ƙunshi lambobi uku: raka'a, goma da ɗaruruwa.
Tsarin lamba goma
Mutane a lokuta daban-daban sun yi amfani da hanyoyi daban-daban na rubuta lambobin. Kuma kowane tsarin lamba yana da nasa dokoki da fasali.
Tsarin lamba na decimal shine tsarin lamba da aka fi amfani da shi a cikinsa ana amfani da lambobi goma don rubuta lambobi: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
A cikin tsarin decimal, ƙimar lambobi ɗaya ya dogara da matsayinsa a cikin bayanin lamba. Misali, lambar 555 ta ƙunshi lambobi iri ɗaya. A cikin wannan lamba, lambobi na farko daga hagu yana nufin ɗari biyar, na biyu - goma biyar, na uku - raka'a biyar. Tunda darajar lambobi ya dogara da matsayinsa, tsarin lamba na decimal ana kiransa matsayi.
Tambaya don gwada kai
Lambobi nawa nawa ne za a iya yiwa alama akan hasken haɗin kai tsakanin maki tare da masu daidaitawa:
0 da 15;
20 da 50;
100 da 130?
Источник - Онлайн школа Skysmart: https://skysmart.ru/articles/mathematic/naturalnye-chiisla