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Chapter 1: Q15. (page 18)

The sun, on average, is 93 million miles from the earth. How many meters is this? Express (a) using powers of 10, and (b) using a metric prefix (km).

Short Answer

Expert verified

The results obtained for parts (a) and (b) are d=1.49×1011mand d=1.49×108km.

Step by step solution

01

Step 1. Converting miles into meters

Mile is a unit of measurement of distance. One mile is equivalent to 5280 feet.

Given data:

Distance of the sun from the earth,d=93million-miles

(a)

Using the formula to express a million miles in meters, you get

d=93million-miles×106miles1million-miles=93×106miles×1609.34meters1mile=1.49×1011m.

02

Step 2. Converting meters into kilometers

For converting meters into kilometers, divide the given distance by a factor of 1000.

(b)

Using the formula to determine the distance with the metric prefix, you get

d=1.49×1011m×1km1000m=1.49×108km.

Thus, the values of distance in powers of 10 and in the metric prefix are 1.49×1011mand 1.49×108km, respectively.

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