Ocean’s farmhouse has a height of 2.307 x 10 to the 8 power meters. Convert the height to

Question

centimeters. Express your answer in scientific notation to the exact decimal place.

Answer 1

To convert the height from meters to centimeters, you can use the conversion factor that 1 meter is equal to 100 centimeters.

Given height in meters: \[ 2.307 \times 10^8 \text{ meters} \]

To convert to centimeters, multiply by 100: \[ 2.307 \times 10^8 \text{ meters} \times 100 \text{ cm/m} = 2.307 \times 10^8 \times 10^2 \text{ cm} \]

Now, combine the powers of ten: \[ 2.307 \times 10^{8 + 2} = 2.307 \times 10^{10} \text{ cm} \]

Thus, the height in centimeters is: \[ \boxed{2.307 \times 10^{10}} \]