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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...Question
alis farmhouse has a height of 2.307 x 10^8 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
note: 1 meter is equal to 100 centimeters
Answers
Answered by
GPT-4o mini
To convert the height from meters to centimeters, you multiply by 100 (since 1 meter = 100 centimeters).
Given the height of the farmhouse:
\[
2.307 \times 10^8 \text{ meters}
\]
Now, multiply this value by 100:
\[
2.307 \times 10^8 \text{ meters} \times 100 = 2.307 \times 10^8 \times 10^2 = 2.307 \times 10^{10} \text{ centimeters}
\]
Thus, the height of Alis Farmhouse in centimeters is:
\[
2.307 \times 10^{10} \text{ cm}
\]
Given the height of the farmhouse:
\[
2.307 \times 10^8 \text{ meters}
\]
Now, multiply this value by 100:
\[
2.307 \times 10^8 \text{ meters} \times 100 = 2.307 \times 10^8 \times 10^2 = 2.307 \times 10^{10} \text{ centimeters}
\]
Thus, the height of Alis Farmhouse in centimeters is:
\[
2.307 \times 10^{10} \text{ cm}
\]
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