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Answer :
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Part 1: Calculate the number of hours in a fortnight (2 weeks)
1. Determine the number of days in one week:
- There are 7 days in a week.
2. Calculate the number of days in a fortnight:
- A fortnight consists of 2 weeks.
- Total days in a fortnight = 2 weeks × 7 days/week = 14 days.
3. Calculate the number of hours in a day:
- There are 24 hours in a day.
4. Calculate the total number of hours in a fortnight:
- Total hours = 14 days × 24 hours/day = 336 hours.
So, there are 336 hours in a fortnight.
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Part 2: Calculate the number of decades in [tex]\(1.7 \times 10^{25}\)[/tex] minutes
1. Minutes in an hour:
- There are 60 minutes in an hour.
2. Convert the total minutes to hours:
- Total hours = Total minutes (given) ÷ 60 minutes/hour.
3. Hours in a day:
- There are 24 hours in a day.
4. Convert the total hours to days:
- Total days = Total hours ÷ 24 hours/day.
5. Days in a year:
- There are 7 days in a week and approximately 52 weeks in a year.
- Total days in a year ≈ 7 days/week × 52 weeks/year = 364 days/year (approx, ignoring leap years for simplicity).
6. Convert the total days to years:
- Total years = Total days ÷ 364 days/year.
7. Years in a decade:
- There are 10 years in a decade.
8. Convert the total years to decades:
- Total decades = Total years ÷ 10 years/decade.
As a result, approximately [tex]\(3.243 \times 10^{18}\)[/tex] decades are equivalent to [tex]\(1.7 \times 10^{25}\)[/tex] minutes.
In summary:
- There are 336 hours in a fortnight.
- Approximately [tex]\(3.243 \times 10^{18}\)[/tex] decades are equal to [tex]\(1.7 \times 10^{25}\)[/tex] minutes.
Part 1: Calculate the number of hours in a fortnight (2 weeks)
1. Determine the number of days in one week:
- There are 7 days in a week.
2. Calculate the number of days in a fortnight:
- A fortnight consists of 2 weeks.
- Total days in a fortnight = 2 weeks × 7 days/week = 14 days.
3. Calculate the number of hours in a day:
- There are 24 hours in a day.
4. Calculate the total number of hours in a fortnight:
- Total hours = 14 days × 24 hours/day = 336 hours.
So, there are 336 hours in a fortnight.
---
Part 2: Calculate the number of decades in [tex]\(1.7 \times 10^{25}\)[/tex] minutes
1. Minutes in an hour:
- There are 60 minutes in an hour.
2. Convert the total minutes to hours:
- Total hours = Total minutes (given) ÷ 60 minutes/hour.
3. Hours in a day:
- There are 24 hours in a day.
4. Convert the total hours to days:
- Total days = Total hours ÷ 24 hours/day.
5. Days in a year:
- There are 7 days in a week and approximately 52 weeks in a year.
- Total days in a year ≈ 7 days/week × 52 weeks/year = 364 days/year (approx, ignoring leap years for simplicity).
6. Convert the total days to years:
- Total years = Total days ÷ 364 days/year.
7. Years in a decade:
- There are 10 years in a decade.
8. Convert the total years to decades:
- Total decades = Total years ÷ 10 years/decade.
As a result, approximately [tex]\(3.243 \times 10^{18}\)[/tex] decades are equivalent to [tex]\(1.7 \times 10^{25}\)[/tex] minutes.
In summary:
- There are 336 hours in a fortnight.
- Approximately [tex]\(3.243 \times 10^{18}\)[/tex] decades are equal to [tex]\(1.7 \times 10^{25}\)[/tex] minutes.
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