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 of Ali's farmhouse from meters to centimeters, you can multiply the height in meters by the conversion factor of 100 centimeters per meter:

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

By adding the exponents (since \(10^8 \times 10^2 = 10^{8+2} = 10^{10}\)), you get:

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

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

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