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)
The height of Ali's farmhouse in centimeters can be found by multiplying the height in meters by 100.
Height in centimeters = 2.307×108 meters × 100 centimeters/meter
Height in centimeters = 2.307×108 × 100 cm = 2.307×1010 cm
Therefore, Ali's farmhouse has a height of 2.307×1010 centimeters.
To convert the height from meters to centimeters, we need to multiply the height by the conversion factor of 100 (since 1 meter is equal to 100 centimeters).
Height in centimeters = Height in meters × 100
Height in centimeters = 2.307×10^8 × 100
Now, we can multiply the two numbers:
Height in centimeters = 2.307 × 10^8 × 100
= (2.307 × 100) × 10^8
= 230.7 × 10^8
Therefore, Ali's farmhouse height is 230.7 × 10^8 centimeters.
To convert the height from meters to centimeters, you can multiply the given value by the conversion factor, which states that 1 meter is equal to 100 centimeters.
The formula to convert meters to centimeters is:
height in centimeters = height in meters × conversion factor
Given:
Height = 2.307 × 10^8 meters
To convert this to centimeters, we can multiply it by the conversion factor:
height in centimeters = 2.307 × 10^8 meters × 100 centimeters/meter
Now, to calculate the height in centimeters, we multiply the numerical values and add the exponents:
height in centimeters = (2.307 × 100) × (10^8 × 10^0)
Simplifying the equation, we have:
height in centimeters = 230.7 × 10^8
Finally, we can express the answer in scientific notation to the exact decimal place. In scientific notation, the decimal point is placed after the first non-zero digit. Therefore, we get:
height in centimeters = 2.307 × 10^10 centimeters.