Ali’s farmhouse has a height of 2.307×10^8
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.
To convert meters to centimeters, we need to multiply the height in meters by 100.
2.307 × 10^8 meters * 100 centimeters/meter = 2.307 × 10^8 * 100 centimeters
2.307 × 10^8 * 100 = 2.307 × 10^10 centimeters
Therefore, Ali's farmhouse has a height of 2.307 × 10^10 centimeters.
To convert the height of Ali's farmhouse from meters to centimeters, we need to multiply the height by the conversion factor of 100. The conversion factor is used because there are 100 centimeters in 1 meter.
Height in centimeters = Height in meters x Conversion factor (100)
Height in centimeters = 2.307 x 10^8 meters x 100
Performing the multiplication, we get:
Height in centimeters = 2.307 x 10^8 x 100
Height in centimeters = 2.307 x 10^8 x 10^2
Since we are multiplying numbers in scientific notation, we add the exponents:
Height in centimeters = 2.307 x 10^(8+2)
Height in centimeters = 2.307 x 10^10
Therefore, Ali's farmhouse has a height of 2.307 x 10^10 centimeters, expressed in scientific notation to the exact decimal place.
To convert the height from meters to centimeters, you need to multiply the height by the conversion factor of 100 since there are 100 centimeters in 1 meter.
Let's do the calculation step by step:
1. Start with the given height in meters: 2.307 × 10^8 meters.
2. Multiply this height by the conversion factor of 100:
(2.307 × 10^8 meters) × (100 centimeters / 1 meter)
3. Simplify the units:
2.307 × 10^8 × 100 centimeters
= 2.307 × 10^10 centimeters
Therefore, Ali's farmhouse has a height of 2.307 × 10^10 centimeters in scientific notation to the exact decimal place.