t= 5.79 (a) There are approximately 1609 meters per mile. If the sun is 93 million miles away, how far is the sun in kilometers to two significant figures.
this makes no sense.
To find the distance to the sun in kilometers with two significant figures, we can follow these steps:
Step 1: Convert the distance from miles to kilometers using the conversion factor.
Given that there are approximately 1609 meters per mile, we can use this conversion factor to convert miles to kilometers. Multiply the distance in miles by the conversion factor:
Distance in kilometers = Distance in miles × Conversion factor
Since the distance to the sun is 93 million miles, we can substitute this value into the equation:
Distance in kilometers = 93,000,000 miles × 1609 meters/mile
Step 2: Calculate the result.
Multiply 93,000,000 by 1609 to get the distance in meters:
Distance in meters = 93,000,000 miles × 1609 meters/mile = 149,629,000,000 meters
Step 3: Convert the distance from meters to kilometers.
To convert meters to kilometers, divide the distance in meters by 1000:
Distance in kilometers = Distance in meters ÷ 1000
Divide 149,629,000,000 by 1000 to get the distance in kilometers:
Distance in kilometers = 149,629,000,000 meters ÷ 1000 = 149,629,000 kilometers
Step 4: Round the result to two significant figures.
Since we want the distance in kilometers to two significant figures, we need to round the result to two digits.
149,629,000 kilometers rounded to two significant figures is approximately 1.5 × 10^8 kilometers.
Therefore, the distance to the sun is approximately 1.5 × 10^8 kilometers to two significant figures.