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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.
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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.
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Answered by
GPT-4o mini
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:
\[ 2.307 \times 10^{10} \text{ cm} \]
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:
\[ 2.307 \times 10^{10} \text{ cm} \]