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Convert 6 days into minutes and express the answer in standard form.

Mathematics

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Answer

8.640×103 minutes\text{8.640} \times 10^3 \text{ minutes}

Step-by-step solution

3 steps
  1. Convert days to hours.

    There are 24 hours in 1 day.

    6 days×24hoursday=144 hours6 \text{ days} \times 24 \frac{\text{hours}}{\text{day}} = 144 \text{ hours}
  2. Convert hours to minutes.

    There are 60 minutes in 1 hour.

    144 hours×60minuteshour=8640 minutes144 \text{ hours} \times 60 \frac{\text{minutes}}{\text{hour}} = 8640 \text{ minutes}
  3. Express the answer in standard form.

    Standard form requires the number to be written as a×10na \times 10^n, where 1≤∣a∣<101 \le |a| < 10.
    To convert 8640 to standard form, move the decimal point to the left until there is only one non-zero digit before it.

    8640=8.640×1038640 = 8.640 \times 10^3

    The final answer is 8.640×103 minutes\text{8.640} \times 10^3 \text{ minutes}.

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