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10^10^10 how much time will it take to write this number,if it takes 1 sec to write 1 digit.
- a)1000 secs.
- b)10 year.
- c)more than 1 million years.
- d)a few days.
Correct answer is option 'C'. Can you explain this answer?
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10^10^10 how much time will it take to write this number,if it takes 1...
Time to write 10^10^10
Therefore, the correct answer is option 'c': more than 1 million years.
- Understanding the number: To understand the enormity of the number 10^10^10, we need to break it down. It is equal to 10 raised to the power of 10^10, which means 10 multiplied by itself 10 billion times.
- Calculating the number of digits: The number of digits in 10^10^10 can be calculated by taking the logarithm base 10 of the number. Log(10^10^10) = 10^10, which means there are 10 billion digits in this number.
- Time to write each digit: Given that it takes 1 second to write each digit, it would take 10 billion seconds to write the entire number.
- Converting seconds to years: To convert seconds to years, we divide the total seconds by the number of seconds in a year. There are approximately 31.5 million seconds in a year.
- Calculating the time: Dividing 10 billion seconds by 31.5 million seconds in a year gives us approximately 317 years. Therefore, it would take more than 1 million years to write the number 10^10^10.
Therefore, the correct answer is option 'c': more than 1 million years.
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