Ali's farmhouse has a height of 2.307 x 10⁸ meters. Convert the height to centimeters. Express your answer in scientific notation to the exact decimal place.

Question

Note: 1 meter is equal to 100 centimeters.

centimeters

Answer 1

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

Given:

\[ \text{Height in meters} = 2.307 \times 10^8 \text{ m} \]

Now, convert to centimeters:

\[ \text{Height in centimeters} = 2.307 \times 10^8 \text{ m} \times 100 \text{ cm/m} \]

This can be rewritten as:

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

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

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