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MATEMATIKA
JEDNAČINE
JEDNAČINE PRI SABIRANJU I ODUZIMANJU
• Postoje tri slučaja :
• Prvi slučaj
• a) POZNATI SABIRAK + X = ZBIR
• X = ZBIR – POZNATI SABIRAK ili
• b) X+ POZNATI SABIRAK = ZBIR
• X = ZBIR – POZNATI SABIRAK
•
• Pr : 1 Pr : 2
10 + X = 15 X + 35 = 60
• X= 15-10 X =60 - 35
• X=5 X = 25
Nepoznati sabirak izračunaš tako što od zbira
oduzimaš poznati sabirak
Drugi slučaj :
• X –UMANJILAC = RAZLIKA
• X = RAZLIKA + UMANJILAC gde je X - UMANJENIK
• Pr : 1 Pr : 2
• X – 35 =45 X -234 = 5678
• X = 45 + 35 X = 5678 + 234
• X = 80 X = 5912
Nepoznati umanjenik izračunavaš tako što
sabereš razliku i umanjilac
Treći slučaj :
• UMANJENIK – X = RAZLIKA
X = UMANJENIK – RAZLIKA gde je X- UMANJILAC
Pr : 1 Pr : 2
67 – X = 25 4567 – X = 2098
X = 67 – 25 X = 4567 – 2098
X = 42 X= 2469
Nepoznati umanjilac izračunavaš tako što
od umanjenika oduzmeš razliku
JEDNAČINE PRI MNOŽENJU I DELJENJU
• Množenje :
• a)
• ČINIOC · X = PROIZVOD
• X = PROIZVOD : ČINIOC ili
• b) X· ČINIOC = PROIZVOD
• X = PROIZVOD : ČINIOC
Pr : 1 Pr : 2
5· X= 10 X· 453= 1359
X= 10 : 5 X= 1359 : 453
X= 2 X= 3
Nepoznati činioc se nalazi tako što se proizvod deli sa poznatim
činiocem
Deljenje :
Postoje dva slučaja :
a) X : DELJILAC = KOLIČNIK
X = KOLIČNIK · DELJILAC gde je X – DELJENIK
b) DELJENIK : X = KOLIČNIK
X= DELJENIK : KOLIČNIK gde je X – DELJILAC
Nepoznati deljenik se nalazi kao proizvod količnika i
deljilaca
Nepoznati deljilac se dobije kao rezultat deljenja
deljenika i količnika
Pr : 1 Pr : 2
X : 5 = 6 300 : X = 6
X = 6 · 5 X = 300 : 6
X = 30 X = 50
Prez

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Prez

  • 2. JEDNAČINE PRI SABIRANJU I ODUZIMANJU • Postoje tri slučaja : • Prvi slučaj • a) POZNATI SABIRAK + X = ZBIR • X = ZBIR – POZNATI SABIRAK ili • b) X+ POZNATI SABIRAK = ZBIR • X = ZBIR – POZNATI SABIRAK • • Pr : 1 Pr : 2 10 + X = 15 X + 35 = 60 • X= 15-10 X =60 - 35 • X=5 X = 25 Nepoznati sabirak izračunaš tako što od zbira oduzimaš poznati sabirak
  • 3. Drugi slučaj : • X –UMANJILAC = RAZLIKA • X = RAZLIKA + UMANJILAC gde je X - UMANJENIK • Pr : 1 Pr : 2 • X – 35 =45 X -234 = 5678 • X = 45 + 35 X = 5678 + 234 • X = 80 X = 5912 Nepoznati umanjenik izračunavaš tako što sabereš razliku i umanjilac
  • 4. Treći slučaj : • UMANJENIK – X = RAZLIKA X = UMANJENIK – RAZLIKA gde je X- UMANJILAC Pr : 1 Pr : 2 67 – X = 25 4567 – X = 2098 X = 67 – 25 X = 4567 – 2098 X = 42 X= 2469 Nepoznati umanjilac izračunavaš tako što od umanjenika oduzmeš razliku
  • 5. JEDNAČINE PRI MNOŽENJU I DELJENJU • Množenje : • a) • ČINIOC · X = PROIZVOD • X = PROIZVOD : ČINIOC ili • b) X· ČINIOC = PROIZVOD • X = PROIZVOD : ČINIOC Pr : 1 Pr : 2 5· X= 10 X· 453= 1359 X= 10 : 5 X= 1359 : 453 X= 2 X= 3 Nepoznati činioc se nalazi tako što se proizvod deli sa poznatim činiocem
  • 6. Deljenje : Postoje dva slučaja : a) X : DELJILAC = KOLIČNIK X = KOLIČNIK · DELJILAC gde je X – DELJENIK b) DELJENIK : X = KOLIČNIK X= DELJENIK : KOLIČNIK gde je X – DELJILAC Nepoznati deljenik se nalazi kao proizvod količnika i deljilaca Nepoznati deljilac se dobije kao rezultat deljenja deljenika i količnika
  • 7. Pr : 1 Pr : 2 X : 5 = 6 300 : X = 6 X = 6 · 5 X = 300 : 6 X = 30 X = 50