Question

the distance between the earth and the sun is 90.0 million miles. calculate this distance in meters to three significant digits. 1 mile = 1.61 kilometers

Explanation:

Step1: Convert million miles to miles

90.0 million miles = \( 90.0 \times 10^6 \) miles

Step2: Convert miles to kilometers

Using 1 mile = 1.61 kilometers, so distance in kilometers is \( 90.0 \times 10^6 \times 1.61 \) km

Step3: Convert kilometers to meters

Since 1 km = 1000 m, distance in meters is \( 90.0 \times 10^6 \times 1.61 \times 1000 \) m
Calculate:
\( 90.0 \times 10^6 \times 1.61 = 144.9 \times 10^6 \)
\( 144.9 \times 10^6 \times 1000 = 144.9 \times 10^9 = 1.449 \times 10^{11} \)
Rounding to three significant digits: \( 1.45 \times 10^{11} \) m

Answer:

\( 1.45 \times 10^{11} \) meters