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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 answer

To convert the height of Ali’s farmhouse from meters to centimeters, you can use the conversion factor that 1 meter is equal to 100 centimeters.

Given the height in meters:

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

To convert this to centimeters, multiply by 100:

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

This can be simplified as follows:

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

So, the height of Ali’s farmhouse in centimeters is:

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

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