Question

The distance from the earth to the sun is approximately 93 million miles. About how many gigameters is this? (Round to the nearest hundredth)

a) 1.49Gm
b) 149Gm
c) 1490Gm
d) 14.9Gm

Answer 1

To convert 93 million miles to gigameters, we first convert miles to kilometers, then to meters, and finally to gigameters. The correct conversion is approximately 149.67 gigameters, which is answer (b) 149 Gm.

Step-by-step explanation:

The question concerns the conversion of a distance measurement from miles to gigameters (Gm). The distance from the Earth to the Sun is approximately 93 million miles. To convert this distance to gigameters, we need to know that 1 mile is equal to 1.609344 kilometers (km), and there are 1 billion (1,000,000,000) meters in a gigameter.

First, we convert 93 million miles to kilometers by multiplying:

• 93,000,000 miles * 1.609344 km/mile ≈ 149,668,752 km

Next, we convert kilometers to meters (1 km = 1,000 meters):

• 149,668,752 km * 1,000 meters/km = 149,668,752,000 meters

Finally, we convert meters into gigameters:

• 149,668,752,000 meters / 1,000,000,000 meters/Gm = 149.67 Gm

Therefore, the distance is approximately 149.67 gigameters, which rounds to 149.67 Gm when rounded to the nearest hundredth. The correct answer is (b) 149 Gm.