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Algebra · orta

Daraja va uning xossalari, darajali ifodalar bo‘yicha savol

Sonni standart shaklga keltiring: $225\cdot 10^{-7}$
  1. A. $2{,}25\cdot 10^{-3}$
  2. B. $2{,}25\cdot 10^{-5}$
  3. C. $2{,}25\cdot 10^{-4}$
  4. D. $2{,}25\cdot 10^{-6}$
Javob va yechimni ko‘rish

Javob: 2{,}25\cdot 10^{-5}

$225\cdot 10^{-7}$ sonini standart (ilmiy) ko‘rinishga keltirish uchun koeffitsient $1$ bilan $10$ ning birinchi darajasi orasida bo‘lishi kerak, ya’ni $1\le a<10$ bo‘lishi lozim. $225$ ni $10$ ga bo‘lish orqali $2,25$ ga kamaytiramiz: $225 = 2,25\cdot 10^{2}$. Shu ifodani asl ko‘paytma bilan birga yozsak \[ 225\cdot 10^{-7}= (2,25\cdot 10^{2})\cdot 10^{-7}=2,25\cdot 10^{2-7}=2,25\cdot 10^{-5}. \] Natijada son standart shaklda $2,25\cdot 10^{-5}$ bo‘ladi, ya’ni to‘g‘ri javob **B**.

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