Ali's farmhouse has a height of 2.307 x 10 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.

centimeters

1 answer

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

Given height in meters: \[ 2.307 \times 10^0 , \text{meters} \]

Now, multiply by 100 to convert to centimeters: \[ 2.307 \times 10^0 , \text{meters} \times 100 , \text{centimeters/meter} \]

Calculating this: \[ 2.307 \times 100 = 230.7 \]

Now, we write 230.7 in scientific notation: \[ 230.7 = 2.307 \times 10^2 \]

Thus, the height of Ali's farmhouse in centimeters, expressed in scientific notation, is: \[ \boxed{2.307 \times 10^2} , \text{centimeters} \]