Ali’s farmhouse has a height of 2.307×108

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

Note: 1 meter is equal to 100 centimeters.
(1 point)
centimeters

1 answer

To convert the height from meters to centimeters, we use the conversion factor \(1 \text{ meter} = 100 \text{ centimeters}\).

Given the height of the farmhouse:

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

We multiply by 100 to convert to centimeters:

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

When multiplying powers of 10, we add the exponents:

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

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

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