1) Akkuyu Nükleer Güç Santrali'nin tam kapasiteyle çalıştığında 1 yılda engelleyeceği karbon emisyonunun kilogram cinsinden bilimsel gösterimi aşağıdakilerden hangisidir? 2) √36... 1) Akkuyu Nükleer Güç Santrali'nin tam kapasiteyle çalıştığında 1 yılda engelleyeceği karbon emisyonunun kilogram cinsinden bilimsel gösterimi aşağıdakilerden hangisidir? 2) √363 - √75 - √27 işleminin sonucu aşağıdakilerden hangisidir?
Understand the Problem
Bu, iki matematik sorusunu içeren bir resimdir. İlk soru, Akkuyu Nükleer Güç Santrali'nin bir yılda engelleyeceği karbon emisyonunun kilogram cinsinden bilimsel gösterimini bulmayı gerektiriyor. İkinci soru ise basit bir kare kök çıkarma işlemini çözmeyi gerektiriyor.
Answer
2. $3.5 \times 10^{10}$ 3. $3\sqrt{3}$
Answer for screen readers
- B) $3,5 \times 10^{10}$
- B) $3\sqrt{3}$
Steps to Solve
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Problem 2: Calculate yearly carbon emission reduction in tons Divide the total carbon emission reduction over 60 years by 60 to find the yearly reduction in tons. $$ \frac{21 \times 10^8 \text{ tons}}{60 \text{ years}} = 0.35 \times 10^8 \text{ tons/year} $$
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Problem 2: Convert tons to kilograms Since 1 ton = 1000 kg, convert the yearly reduction from tons to kilograms. $$ 0.35 \times 10^8 \text{ tons} \times 1000 \frac{\text{kg}}{\text{ton}} = 0.35 \times 10^{11} \text{ kg} $$
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Problem 2: Express in scientific notation Express the result in scientific notation. $0.35 \times 10^{11} = 3.5 \times 10^{10}$ kg
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Problem 4: Simplify the radicals Simplify each square root term individually. $$ \sqrt{363} = \sqrt{121 \times 3} = 11\sqrt{3} $$ $$ \sqrt{75} = \sqrt{25 \times 3} = 5\sqrt{3} $$ $$ \sqrt{27} = \sqrt{9 \times 3} = 3\sqrt{3} $$
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Problem 4: Combine like terms Substitute the simplified radicals back into the expression and combine like terms. $$ 11\sqrt{3} - 5\sqrt{3} - 3\sqrt{3} = (11 - 5 - 3)\sqrt{3} = 3\sqrt{3} $$
- B) $3,5 \times 10^{10}$
- B) $3\sqrt{3}$
More Information
Problem 2 requires converting units (tons to kilograms) and expressing the result in scientific notation. Problem 4 requires simplifying square roots and combining like terms.
Tips
- For problem 2, students may forget to convert tons to kilograms or make errors when expressing the final answer in scientific notation.
- For problem 4, students may make mistakes in simplifying the square roots or combining the terms.
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