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 point) (blank) x (blank) centimeters

1 answer

To convert the height from meters to centimeters, we can use the conversion factor that 1 meter is equal to 100 centimeters.

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

To convert this to centimeters: \[ \text{Height in centimeters} = 2.307 \times 10^8 \text{ meters} \times 100 \text{ centimeters/meter} \]

This simplifies to: \[ \text{Height in centimeters} = 2.307 \times 10^8 \times 10^2 \text{ centimeters} \]

Using the properties of exponents: \[ \text{Height in centimeters} = 2.307 \times 10^{8 + 2} \text{ centimeters} \] \[ \text{Height in centimeters} = 2.307 \times 10^{10} \text{ centimeters} \]

The final answer in scientific notation is: \[ 2.307 \times 10^{10} \text{ centimeters} \]

So the answer in the specified format: (2.307) x (10^10) centimeters