1. Stating the problem: We need to find how much Rapunzel's hair grows in one day if it grows at a rate of $2.78 \times 10^{-7}$ meters per minute. 2. Understanding the parameters: - Growth rate per minute: $2.78 \times 10^{-7}$ meters/minute. - Number of minutes in one day: $24 \text{ hours/day} \times 60 \text{ minutes/hour} = 1440 \text{ minutes/day}$. 3. Calculating total growth in one day: Multiply the growth rate per minute by the number of minutes in a day: $$ \text{Total growth} = 2.78 \times 10^{-7} \times 1440 $$ 4. Perform the multiplication: $$ 2.78 \times 1440 = 4003.2 $$ 5. Combine with the power of ten: $$ 4003.2 \times 10^{-7} = 4.0032 \times 10^{-4} \text{ meters} $$ 6. Round the result suitably: $$ 4.0 \times 10^{-4} \text{ meters} $$ Final answer: Rapunzel's hair grows approximately $4 \times 10^{-4}$ meters in a day.