Ali's farmhouse has a height of 2.307 x 10 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.

centimeters

1 answer

To convert the height from meters to centimeters, you can multiply the height in meters by 100 (since 1 meter = 100 centimeters).

Given the height of the farmhouse is \( 2.307 \times 10^0 \) meters (since there are no decimals in the exponent of 10), we carry out the conversion as follows:

\[ \text{Height in cm} = 2.307 \times 10^0 , \text{meters} \times 100 , \text{cm/m} \]

This is equivalent to:

\[ \text{Height in cm} = 2.307 \times 100 , \text{cm} = 230.7 , \text{cm} \]

Now, we express \( 230.7 \) in scientific notation:

\[ 230.7 = 2.307 \times 10^2 \]

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

\[ \boxed{2.307 \times 10^2} , \text{cm} \]