Eia ka mahele ana i ka helu ma ka helu. Table fission

I loko nō o ka mea i loa kanaka manaʻo makemakika epekema eiiieaen, ia mea,ʻaʻole pēlā. He nui ka makemakika hana Ua oluolu i ka ike, o ka oi aku ina oe i na rula a me nā papakuhikuhi. No laila, e ike ana i ka multiplication papa, e hiki koke hoonui ma ka manao nui helu. Na ka papa kuhikuhiE mea - mau aʻo a me ka ole, e hoopoina i ka rula o ka multiplication. ʻO ia ke ke olelo mai e pili ana i ka mahele.

E mākou kālailai i ka mahele o ka a pau loa, mahele a me ka io. E ka hoomanao i ke kumu o rula, i kūpono a me epekema.

hana mahele

E ka hoʻomaka me ka wehewehena o ka inoa a me ka helu, i ka pae'āina ma keia hana. Kēia, e nui kōkua i ka hou hōʻike 'ike a me ka pokole.

Mahele - kekahi o na kumu o makemakika hana eha. Kona like hoʻomaka ana ma ke kula haʻahaʻa. A na keiki i ka hana mua o ka māheleʻana i ka helu ma ka helu ka wā e hōʻike, wehewehe i nā lula.

I ka hana 'ole mau huahelu, mahele a me ka mahele. Ka mua - He helu i ua maheleia, a me ka lua o ka - ma a ke kaʻana like 'ana. I ka hopena o ka puu hapa o ka mahele.

Aia i kekahi mau notation no ka kākau i ka hana, ":", "/" a me ka papamoe laina - kākau i loko o ka hapa kahi o ka mahele o ka luna a me lalo, ma lalo o ka laina - mahele waiwai.

rula

Ma ka hoʻopaʻa 'ana o ka ua makemakika hana pono i ke kumu e hoike aku i nā haumāna a me nā kumu o rula i oe e ike. Naʻe, ka mea e ole mau hoʻomanaʻo like ka maikai me mākou makemake. I mea no ke aha la makou manao, e hoomaha mai oe i kou hoomanao ana i ka mea apau o rula eha.

Ka walaʻauʻana lula o ka mahele o ka helu i e hoomanao mau ana oukou:

1. Share i Aʻohe hiki ole. I ka rula e hoomanao i loko o ka wahi mua.

2. Share he 'Aʻohe hiki e kekahi helu, akā, ma ka hopena, e mau loa ana e' Aʻohe.

3. Ina ua puunaueia i ka helu ma ka kekahi, e hele aku mākou i ka ia helu.

4. Ina ua puunaueia i ka helu ana iho, mākou e kiʻi i kekahi.

E like me 'oe ke ike, i ka rula mau loa na mea a me ka oluolu, e hoomanao. Oiai kekahi kanaka e hoopoina i na mea rula e like me ka hikiʻole , e puunaue ma Aʻohe, a hookahuli ai ia i ka papa ma ka helu 'Aʻohe.

Na hoailona o ka divisibility o ka helu ana o

Kekahi o ka loa pono keia mau rula - i hōʻailona ma luna a me ka nānā 'ana i ka manawa kūpono o ka mahele ana i ka helu maoli i kekahi me ka mea i koe. Penei, kaʻawale hoailona o ka divisibility no 2, 3, 5, 6, 9, 10. E hoomanao i ka piha hōʻike ma lalo nei. Ka mea, nui kōkua i ka manaʻo o ke ana ma ka helu. I makana no kela a me keia alii laʻana o ka papa o ka helu.

Mau mea mau-kailaʻae i hoʻomano hoʻohanaʻia mathematicians.

divisibility Symptom 2

Ke easiest e hoomanao hoailona. Helu i na welau me ka i helu (2, 4, 6, 8) paha 0 ua mau kōā kaulike divisible e mau. Iwi oluolu e hoomanao a me ka pono. Penei, o ka helu 236 na welau o ka i ka helu, a nolaila, ua maheleia i mau kōā kaulike.

Kulana kupono: 236 2 = 118. No ka mea, 236 i puunaueia e ka 2 me ke koena.

Keia rula o ka loa ua 'ike nui,ʻaʻole wale nō makua, aka, i na keiki.

divisibility Symptom 3

Pehea e hana i kekahi mahele o ka helu 3? E hoʻomanaʻo i nā kēia mau rula.

A helu mea divisible ka 3 kōā kaulike i loko o ka hanana i ka huina o kona huahelu divisible ma ekolu. No ka laʻana, noonoo i ka helu 381. ka huina o nā mea a pau loa, e e 12. kēia helu o ka lau o ka ekolu, a laila, puunaueia e 3 me ke koena.

I ka huli ana i kēia hana. 381: 3 = 127, laila, a pau pono.

Symptom divisibility o integers 5

He nui no hoi na mea. E ho oka awale i loko o 5 me koena hiki wale i kela mau helu i hope ma ka 5 a 0. No ka laʻana, noonoo i ka helu o ka poe i 705 a me 800. ka mua hope 5, o ka lua - i 'Aʻohe, pela ka mea, i nā divisible ma 5. kēia mea mai o ka poe noonoo ole rula e leie aku oe e koke puunaue ma ka huahelu-5 helu.

E hōʻoia i ka hoailona o ke ano he kumu hoʻohālike: 405: 5 = 81; 600: 5 = 120. E like me 'oe ke ike, o ka hoailona hana.

Divisible ma 6

Inā 'oe makemake e ike ina paha o ka helu 6, oe e pono mua e loaʻa mai ina ia mea divisible ka 2, a laila, puunaueia - ma ka 3. Ina pela, alaila, o ka helu hiki ke puunaueia me ke koena ma ka 6. Eia kekahi laʻana, ka helu 216 divisible ka 2 me na welau o ka i ka helu, a me 3, e like me ka huina o nā huahelu, he 9.

Hou ika: 216: 6 = 36. Ka hana hōʻike i keia ano hana.

Divisible ma ka 9

Kekahi olelo e pili ana pehea e hoʻokō i ka mahele helu 9. Ma ka haawi helu puʻunaue poe maoli helu, ka huina o ka a mea he mau huahelu rula 9. like me ka mahele ana i ka 3. No ka laʻana, ka helu 918. Ka nā kiʻi, a loaa 18 - lau o 9. no laila, ka mea, ua maheleia i 9 me ka kumumea.

Mākou ke hoʻoponopono i kēia hana, e ninau hoopoipoi: 918: 9 = 102.

Severability 10

Ka hope hiʻona, i mea ke kumukuai o ka ike. 10 Ua māheleʻia i loko o wale ia mau helu i hope ma ka 0. kēia kumu He nō mea a me ka oluolu, e hoomanao. Penei, 500: 10 = 50.

A pau ke kumu o hiʻona. E hoʻomanaʻo maiʻoe iā lākou, e hiki e i kou ola maʻalahi. O ka ihu, ma laila nō nā huahelu no i ka mea, ua hoailona o ka divisibility, akā, e ka nui poʻe mākou e kahińuli i.

Table fission

I ka makemakika, he mea ole wale ka multiplication papa, akā, i ka papaʻaina. Ma hope o ke aʻo 'ia, e hiki eaaei hana i ka hana. I mea, i ka papaʻaina o ke multiplication papa e ku pono ana. E ia oe mea,ʻaʻole paʻakikī. No keia pono e rewritten na laina o ka multiplication papa ma keia aoao:

1. E kau i ka huina hoonui o ka helu i loko o ka wahi mua.

2. E kau i ka mahele hōʻailona, a kākau i ka lua o ka ololi mai i ka papaʻaina.

3. A i ka like hōʻailona ua palapala mua multiplier.

No ka laʻana, lawe i ka kekahi laina mai ka multiplication papa 2 * 3 = 6. Ano, rewrite ia e like me ka algorithm, a me ka loaa. 6 ÷ 3 = 2.

Muli o kona kulana pinepine, na keiki i noi e unuhi i kā lākou mau papa, pela ulu i ko lakou hoomanao ana a me ka hoolohe.

Inā 'aʻole' oe i manawa e kākau ia, e hiki ke hoʻohana i ka hōʻike 'ia ma ka pauku.

'ano o ka mahele

E ka'ōlelo i kona wahi e pili ana i na ano o ka mahele.

I hoʻomaka me, ia mea hiki ke kālā līkaia no mahele o ka a pau loa a me ka hapa. Ma ka hihia mua mākou ke olelo e pili ana i ka hana me ka a pau, nui a me decimals, a me ka lua o ka - wale fractional helu. Ma keia hihia ka mea, hiki ia laua fractional numerator a mahele, a me nā poʻe. Keia kaawale ana mea aie i ka mea i ka hana ma luna o hapa oko mai ka helu ana.

Next mākou e kamailio e pili ana i ka mahele o ka mahele hou.

Ma muli o ka nui, a i 'ole ma o ka hana, elua ano o ka papa hiki ke hōʻike': ma unambiguous a me ka nui ma luna o multivalued. Ke simplest mahele Ua manaoia e ia i loko o ka hoʻokahi huahelu. Eia, oe eʻaʻole pono e lawe mai lengthy ho. Eia hou, i ka papaʻaina i pono kōkua i ke ku e. Kaʻana i ka ia ma ka 'ē aʻe - mau, huahelu-ekolu helu - kaumaha.

E noonoo i na ano he kumu hoʻohālike o kēia mauʻano o ka papa:

14: 7 = 2 (mahele ma ka huahelu hoʻokahi-helu).

240: 12 = 20 (papa ma ka huahelu-nā helu).

45387: 123 = 369 (papa ma ka huahelu-ekolu helu).

Ka hope māhele hiki ke hōʻike ', i komo ai maikaʻi a me ka io nui. I ka hana ana me ka weuweu e ike i ka rula ana a ka mea waihona i ka hopena mea maikaʻi a me ka io nui.

I ka mahele ana i helu a me kekahi mau hoailona (ka numerator - i ka helu mea 'oluʻolu, ka mahele - io, a me ka hope versa), ua loaa i ka io helu. I ka mahele ana i helu a me ka ia hōʻailona (a me ka mahele a me ka mahele - maikaʻi 'ole Hope versa) - loaa i ka maikaʻi helu.

E hoomanao i ka mea kēia mau examples no mōakaaka:

21: (- 7) = -3

-36: 6 = (-6)

-48 (-8) = 6.

mahele o ka mahele

No laila, ua huki ilalo mākou i ke kumu o rula, haawi mai la i laʻana o ka māheleʻana i ka helu ma ka helu, e e ka kamailio e pili ana pehea e pono hana i ka mea ana me ka mahele.

I loko nō o ka mea i ka mahele o ka hapa iki ma mua mea e like me ka mea nani kaumaha loa, ma ka mea, hana mea ole pela paakiki me ia. Ka mahele ana i mahele ua hana ma ka nui o ka like me multiplication, akā, me kekahi koena unuhi.

I mea e hookaawale i kekahi hapa, o ka numerator pono mua hoonui i ka mahele ma ka mahele denominator, a hoʻopaʻa i ka hopena, e like me ka numerator ponoi. A laila, e hoonui i ka denominator o ka mahele ma ka mahele ana o ka numerator a me ka denominator, e hoʻopaʻa i ka hopena, e like me ke kula.

Ua hiki ke hana maʻalahi. Rewrite hapa mahele waiwai, interchanging ka numerator i ka denominator, a laila, hoonui loa i ka kūpono helu.

No ka laʻana, puunaue mau mahele: 4/5: 3/9. E hoʻomaka, e huli mai ma luna o ka mahele waiwai, ua loaa 9/3. Ano, hoonui mahele: 4/5 * 9/3 = 36/15.

E like me 'oe ke ike, ia ka nani oluolu, a me ka ole oi paʻakikī ma mua o ke ku e ma ka huahelu hoʻokahi-helu. Ano he kumu hoʻohālike o ka hana me ka hapa i nā mākau 'wale, ina oe e ole hoʻopoina keia noho alii ana.

mea, ua ulu

Mahele - kekahi o ka makemakika hana i na keiki e ao hou ma ke kula haʻahaʻa. Aia nō kekahi rula i e ike i kūpono e pono ai, i mea e kōkua ai i kēia hana. I ka mahele o ke koena a me ka ole, o ka mahele o ka io a me ka fractional loa.

E hoʻomanaʻo i nā hiʻona o keia makemakika hana Ua maʻalahi. Mākou i dismantled loa nui heluʻai kūkākūkā i ole kekahi laʻana o ka mahele ana i ka helu ma ka helu o ke ahiahi, kamailio e pili ana pehea e hana me ka fractional helu.

Inā 'oe makemake e hoʻoikaika i kou ike ana i makemakika, ke hōʻike iā' oe e hoomanao ai i kēia mau mea rula. Eia hou, ua hiki ke hōʻike iā 'oe e hoʻomohala iaiyoe, a numeracy ma ka naau, ae hana i na makemakika haole paha e imi, e hoʻomaulia hōʻike waha puu hapa o nā huikau ka huahelu. E manaoio mai iaʻu, i kēia mau mākau e loa e hana wale.