- The distance from Earth to the Sun is 1.50 x 10
km. What is the distance expressed in Terameters (Tm)? (Given: 1 Tm = 1 x 10
m and 1 km = 1 x 10
m) A) 1.50 x 10
Tm B) 1.50 x 10
Tm C) 1.50 x 10
Tm D) 1.50 x 10
Tm E) 1.50 x 10
Tm
The Correct Answer and Explanation is:
To convert the distance from Earth to the Sun (1.50 x 10^8 km) into Terameters (Tm), we can use the given conversions:
1 Tm = 1 x 10^12 meters
1 km = 1 x 10^3 meters
Step 1: Convert kilometers to meters
First, convert the distance from kilometers to meters. We know that 1 km is equal to 1 x 10^3 meters. So, we multiply the given distance by 1 x 10^3 to get the distance in meters:1.50×108 km×103=1.50×1011 meters1.50 \times 10^8 \text{ km} \times 10^3 = 1.50 \times 10^{11} \text{ meters}1.50×108 km×103=1.50×1011 meters
Step 2: Convert meters to Terameters
Next, we convert meters to Terameters. Since 1 Tm = 1 x 10^12 meters, we divide the distance in meters by 1 x 10^12:1.50×1011 meters1×1012 meters/Tm=1.50×10−1 Tm\frac{1.50 \times 10^{11} \text{ meters}}{1 \times 10^{12} \text{ meters/Tm}} = 1.50 \times 10^{-1} \text{ Tm}1×1012 meters/Tm1.50×1011 meters=1.50×10−1 Tm
So, the distance from Earth to the Sun is:1.50×10−1 Tm=0.15 Tm1.50 \times 10^{-1} \text{ Tm} = 0.15 \text{ Tm}1.50×10−1 Tm=0.15 Tm
Conclusion:
The correct answer is none of the options listed, as the result is 0.15 Tm. However, if the options were meant to indicate 0.15, it would likely be 1.50 x 10^-1 Tm, but it’s not included in the choices given.
