Ali’s farmhouse has a height of 2.307×10^8 meters. Convert the height to centimeters. Express your answer in scientific notation to the exact decimal place.

Answer 1

To convert the height from meters to centimeters, we use the conversion factor that 1 meter equals 100 centimeters.

Given the height of Ali's farmhouse:

\[ 2.307 \times 10^8 \text{ meters} \]

We multiply by 100 centimeters per meter:

\[ 2.307 \times 10^8 \text{ meters} \times 100 \text{ cm/m} = 2.307 \times 10^8 \times 10^2 \text{ cm} \]

Adding the exponents:

\[ 2.307 \times 10^{8 + 2} = 2.307 \times 10^{10} \text{ cm} \]

Thus, the height of Ali's farmhouse in centimeters is:

\[ \boxed{2.307 \times 10^{10} \text{ cm}} \]