Tsari a cikin lissafi

A cikin wannan ɗaba'ar, za mu yi la'akari da ƙa'idodi a cikin lissafi game da tsarin da ake gudanar da ayyukan lissafi (ciki har da maganganu tare da braket, haɓakawa zuwa iko ko cire tushen), tare da su tare da misalai don ƙarin fahimtar kayan.

Tsarin aiwatar da ayyuka

Mun lura nan da nan cewa ana la'akari da ayyukan daga farkon misalin zuwa ƙarshensa, watau daga hagu zuwa dama.

Gabaɗaya mulki

na farko, ana yin ninkawa da rarrabuwa, sannan ƙari da ragi da sakamakon matsakaiciyar ƙima.

Bari mu kalli misali daki-daki: 2 ⋅ 4 + 12: 3.

Sama da kowane mataki, mun rubuta lamba da ta yi daidai da tsarin aiwatar da shi, watau maganin misalin ya ƙunshi matakai na tsaka-tsaki guda uku:

• 2 ⋅ 4 = 8
• 12:3 = 4
• 8 + 4 = 12

Bayan ɗan ƙaramin aiki, a nan gaba, zaku iya yin duk ayyuka a cikin sarkar (a cikin layi ɗaya / da yawa), ci gaba da magana ta asali. A cikin yanayinmu, ya zama:

2 ⋅ 4 + 12: 3 = 8 + 4 = 12.

Idan akwai nau'i-nau'i da yawa a jere, ana yin su a jere, kuma ana iya haɗa su idan an so.

Yanke shawara:

• 5 ⋅ 6: 3 = 10 (hada matakai 1 da 2)
• 18:9 = 2
• 7 + 10 = 17
• 17 - 2 = 15

Misali sarkar:

7 + 5 6: 3 - 18: 9 = 7 + 10 - 2 = 15.

Misalai tare da madauri

Ana aiwatar da ayyuka a cikin baka (idan akwai) da farko. Kuma a cikin su, tsarin da aka yarda da shi, wanda aka kwatanta a sama, yana aiki.

Za a iya raba maganin zuwa matakai a ƙasa:

• 7 ⋅ 4 = 28
• 28 - 16 = 12
• 15:3 = 5
• 9:3 = 3
• 5 + 12 = 17
• 17 - 3 = 14

Lokacin shirya ayyuka, magana a cikin maƙallan ƙila za a iya fahimtar yanayin yanayi azaman lamba / lamba ɗaya. Don saukakawa, mun haskaka shi a cikin sarkar da ke ƙasa cikin kore:

15:3 ku (7 ⋅ 4-16) - 9:3 = 5+ 28 - 16 - 3 = 5+ 12 - 3 = 14.

Iyaye a cikin maɓalli

Wani lokaci ana iya samun wasu baka (wanda ake kira gida-gida) a cikin baka. A irin waɗannan lokuta, ana yin ayyukan da ke cikin mahaifa na ciki da farko.

Tsarin misalin a cikin sarkar yayi kama da haka:

11 ⋅ 4 + (10: 5 + (16:2 - 12:4)) = 44 + (2+ 8 - 3) = 44 + (2+ 5) = 51.

Exponentiation / cire tushen

Wadannan ayyuka ana yin su ne tun da farko, watau tun kafin ninkawa da rarrabawa. Bugu da ƙari, idan sun shafi magana a cikin shinge, to ana yin lissafin da ke cikin su da farko. Yi la'akari da misali:

Hanyar:

• 19 - 12 = 7
• 7² = 49
• 6² = 36
• 4 ⋅ 5 = 20
• 36 + 49 = 85
• 85 + 20 = 105

Misali sarkar:

6² + 19 - 12² + 4 ⋅ 5 = 36 + 49 +20 = 105.