I have a word problem in my homework that confuses me.
How long is 1 billion seconds simplified into years then months then days, etc.
Years then months then days as in xx years xx months and xx days to count to 1 billion seconds. Just one answer not an answer each for years, months and days.
well, first divide 1 billion by 3600*24*365=31536000. This is the number of seconds in one year. You will find that
1000000000/31536000=31.7097
So, now you know there are 31 whole years in that 1 billion seconds. Next you subtract that 31 years from your original 1 billion seconds.
1000000000-(31*3600*24*365)= 22384000 seconds remaining.
Now, you have to find out how many months are in those 22384000 seconds you have left.
there are on average 30 days in each month, so: 3600*24*30=2592000 seconds in each month. So:
22384000/2592000=8.63
You now know that you have 8 full months in you remaining seconds.
Now, 22384000-(8*30*24*3600)=1648000 seconds remaining.
There are 3600*24=86400 seconds in every day,
1648000/86400 = 19,07
So there are 19 full days in those 1648000 seconds remaining.
1648000-(19*24*3600)=6400 seconds remaining.
You can easily find that this is exactly 1 hour 46 min and 40 seconds.
So in total you have: 31 years, 8 months, 19 days, 1 hour, 46 min and 40 seconds in your 1 billion seconds
To simplify 1 billion seconds into years, months, and days, we need to break down the number of seconds into smaller units of time.
1 billion seconds is a very long duration, so let's start by finding out how many years it is.
In order to do that, we need to determine the number of seconds in a year. There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and approximately 365 or 366 days in a year. For simplicity, let's consider 365 days in a year.
So, the number of seconds in a year would be:
60 seconds/minute × 60 minutes/hour × 24 hours/day × 365 days/year = 31,536,000 seconds/year
To find out how many years are in 1 billion seconds, we divide 1,000,000,000 seconds by 31,536,000 seconds/year:
1,000,000,000 seconds ÷ 31,536,000 seconds/year ≈ 31.71 years
Now, we have found that 1 billion seconds is approximately 31.71 years.
To break this down further into months and days, we need to consider that there are approximately 12 months in a year, and each month has a varying number of days. Let's consider the average of 30.44 days per month.
So, the number of seconds in a month would be:
60 seconds/minute × 60 minutes/hour × 24 hours/day × 30.44 days/month ≈ 2,629,440 seconds/month
Now, we divide the remaining seconds (after accounting for the years) by the number of seconds in a month to find out how many months are left:
(1,000,000,000 seconds - (31,536,000 seconds/year × 31 years)) ÷ 2,629,440 seconds/month ≈ 0.54 months
Finally, to determine the number of days left, we need to convert the remaining seconds into days:
(1,000,000,000 seconds - (31,536,000 seconds/year × 31 years) - (2,629,440 seconds/month × 16 months)) ÷ 86,400 seconds/day ≈ 11.54 days
Therefore, 1 billion seconds can be simplified into approximately 31 years, 0.54 months, and 11.54 days.