A map shows the distance between a farm and a house to be 1.24×108 kilometers. What is this distance in meters? Use scientific notation. Express the answer to the exact decimal place.

Answer 1

To convert kilometers to meters, you need to know that 1 kilometer is equal to 1,000 meters.

Given a distance of \(1.24 \times 10^8\) kilometers, you can convert this to meters by multiplying by 1,000 (or \(10^3\) in scientific notation):

\[ \text{Distance in meters} = 1.24 \times 10^8 , \text{km} \times 10^3 , \text{m/km} \]

Now, you can add the exponents:

\[ = 1.24 \times 10^{8 + 3} , \text{m} = 1.24 \times 10^{11} , \text{m} \]

Thus, the distance between the farm and the house is \(1.24 \times 10^{11}\) meters.