Calculate the number of second in one week express the number in standard form

Mathematics

ScanSolve AI Answer

Answer

6.048×105 seconds6.048 \times 10^5 \text{ seconds}

Step-by-step solution

6 steps

To calculate the number of seconds in one week, we multiply the number of seconds in a minute, minutes in an hour, hours in a day, and days in a week.

  1. Seconds in a minute

    There are 60 seconds in 1 minute.

  2. Minutes in an hour

    There are 60 minutes in 1 hour.

  3. Hours in a day

    There are 24 hours in 1 day.

  4. Days in a week

    There are 7 days in 1 week.

  5. Calculate total seconds in a week

    Total seconds = (seconds/minute) ×\times (minutes/hour) ×\times (hours/day) ×\times (days/week)
    Total seconds = 60×60×24×760 \times 60 \times 24 \times 7
    Total seconds = 3600×24×73600 \times 24 \times 7
    Total seconds = 86400×786400 \times 7
    Total seconds = 604800

  6. Express in standard form (scientific notation)

    To express 604,800 in standard form, we move the decimal point to the left until there is only one non-zero digit before the decimal point.
    604800=6.048×105604800 = 6.048 \times 10^5 (The decimal point was moved 5 places to the left).

    The number of seconds in one week is 6.048×1056.048 \times 10^5.

    6.048×105 seconds6.048 \times 10^5 \text{ seconds}
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