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Hebu tufanye baadhi ya maswali

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kwenye mazoezi ya shule ya Khan ambayo yatatufanya

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tuandike upya hesabu za kujumlisha ili

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tuweze kufanya ziwe kwenye namba za kukaribisha.

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Namba ambazo zinaweza kuwa vigawe vya 10 au vigawe vya 100

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Ngoja tuone, nina 63 jumlisha 427,

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na hii inaonekana kama ngumu, unajua,

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nahisi kama natakiwa kuandika ili kueleweka,

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lakini labda natakiwa kuchukua kutoka kwenye namba moja,

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na kuipa namba nyingine ili zote

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ziwe namba zilizokaribishwa, ni wazi

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kwamba 63, nikitoa tatu nitapata 60,

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na kama nitaipeleka hiyo tatu kwenye 427,

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itakuwa 430, na 60 jumlisha 430

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ni hesabu rahisi zaidi.

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Hebu tuone swali linauliza nini.

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Hebu tufuatilie hatua kwa hatua jinsi ya kulifanya.

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Swali linauliza 63 jumlisha 427 ni sawa

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na 60 jumlisha ngapi jumlisha 427.

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Kwa hiyo 60 jumlisha ngapi, hii ni

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sawa na 63, kwa sababu tuna

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427 sehemu zote, kwa hiyo 63 ni 60 jumlisha tatu.

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Hiyo inaleta maana.

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Katika hatua inayofuata, wamebadilisha mpangilio

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60 jumlisha tatu, na halafu ongeza 427

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ni sawa na kufanya 60 jumlisha

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na halafu ujumlishe tatu kwa 427 kwanza.

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Kwa hiyo tunaichukua hii tatu

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na kuihamisha kutoka kwa 63 kwenda kwa 427.

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00:01:15,752 --> 00:01:20,232
Tatu jumlisha 427, hiyo ni sawa na 430.

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Na sasa hii hesabu ya kujumlisha imekuwa rahisi zaidi.

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60 jumlisha 430, tunaweza kufanya kwenye vichwa vyetu.

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Tanaongeza makumi sita kweye hii,

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kwa hiyo itakuwa 490, na tumemaliza.

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Hebu tufanye mifano zaidi ya hii.

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Kwa hiyo, hapa, tunataka

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kujumlisha hizi namba mbili,

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na ngoja tuone kama

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tunaweza kuzikaribisha.

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Kwa hiyo hapa, tunazivunja

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275 kwenye 270 na ziada.

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Hii itakuwa 270 jumlisha tano.

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Angalia namba nyingine bado iko vile vile,

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jumlisha 297.

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Sasa, kwa nini tunafanya hivyo?

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Tukichukua 5 kutoka kwenye 275 na kuipeleka kwenye 595,

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ambacho ndicho tunachokifanya hapa,

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595 itakuwa 600.

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Itafanya swali liwe rahisi

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Kwa hiyo, kwa mara nyingine, hapa tunajumlisha

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270 na tano kwanza, na halafu tunaongeza 595,

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lakini tunaweza kubadilisha mpangilio wa tunavyofanya.

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Tunaweza kujumlisha tano kwa 595 kwanza,

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na halafu tujumlishe 270.

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Hii ni sawa na 270 jumlisha,

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tano jumlisha 595 ni 600, na sababu

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kwa nini tumechukua tano kutoka kwenye 270 ni ili

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tuweze kuijumlisha kwenye 595 na kupata 600,

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na sasa tunaweza kufanya hili kwenye vichwa vyetu.

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270 jumlisha mamia 6, tutakwenda kuongeza

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mamia yetu kwa sita, kwa hiyo itakuwa 870.

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Ngoja tufanye mifano zaidi hapa.

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Jaza nafasi iliyoachwa wazi.

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51 jumlisha 83 ni sawa na nafasi iliyoachwa wazi jumlisha 84.

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Naam, wameongeza 83 kwa moja kupata 84,

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kwa hiyo tunatakiwa kupunguza 51 kwa moja.

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Hivyo, hii itakuwa sawa na 50 jumlisha 84.

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Sasa kwa nini mnatakiwa kujali hili?

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Kwa nini mjali?

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Kwa sababu sasa ni rahisi kufanya,

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kwa sababu sasa natakiwa niseme

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makumi nane jumlisha mamoja manne, jumlisha, jumlisha makumi mengine matano

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00:03:08,688 --> 00:03:12,762
Hiyo itakuwa makumi 13 na mamoja manne, au 134.

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Kwa hiyo, hii naiona hii rahisi zaidi,

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lakini kitu cha muhimu ni kama tukiongeza moja kwenye namba

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tunatakiwa tutoe kiasi hicho hicho kwenye namba nyingine.

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ili kutokubadilisha thamani

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ya hesabu hii ya kujumlisha, kwenye swali hili.

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Hebu tufanye maswali zaidi.

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00:03:27,700 --> 00:03:32,692
138 jumlisha 710 ni sawa na sehemu iliyoachwa wazi jumlisha 700

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Kwa hiyo tulikuw na 710, na sasa ni 700.

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Kwa hiyo tumetoa kumi kutoka kwenye hiyo namba,

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hivyo tunatakiwa tuipe namba nyingine.

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Hivyo tunatakiwa kuongeza 10 kwenye 138,

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kwa hiyo itakuwa 148.

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Sasa, kwa nini hiyo ilikuwa muhimu?

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00:03:46,785 --> 00:03:49,454
Naam 148 jumlisha 700, unaweza kufanya hilo kichwani mwako.

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00:03:49,455 --> 00:03:53,420
Itakuwa 848, na hiyo ni rahisi kufanya

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zaidi ya hichi tulichokuwa nacho hapa.