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Chapter 1: Problem 53

Using your knowledge of metric units, English units, and the information on the back inside cover, write down the con- version factors needed to convert (a) mm to nm, (b) mg to kg, (c) km to ft, (d) in. \(^{3}\) to \(\mathrm{cm}^{3} .\)

Short Answer

Expert verified
(a) To convert mm to nm, multiply the value in mm by 1,000,000. (b) To convert mg to kg, multiply the value in mg by 0.000001. (c) To convert km to ft, multiply the value in km by 1000 and then multiply the result by 3.28084. (d) To convert in³ to cm³, multiply the value in in³ by 16.3871.

Step by step solution

01

(a) Convert mm to nm

To convert millimeters to nanometers, we need to use the following conversion factor: 1 mm = 1,000,000 nm. Thus, to convert a given value in millimeters to nanometers, we simply multiply the value in mm by 1,000,000.
02

(b) Convert mg to kg

To convert milligrams to kilograms, we will use the conversion factor 1 mg = 0.000001 kg (or equivalently, 1 kg = 1,000,000 mg). Thus, to convert a given value in milligrams to kilograms, we simply multiply the value in mg by 0.000001.
03

(c) Convert km to ft

To convert kilometers to feet, we need to use two conversion factors: 1 km = 1000 m and 1 m = 3.28084 ft. First, we will convert the given value in kilometers to meters, then convert the value in meters to feet. Thus, to convert a given value in kilometers to feet, we multiply the value in km by 1000, and then multiply the result by 3.28084.
04

(d) Convert in³ to cm³

To convert cubic inches to cubic centimeters, we need to use the conversion factor 1 in³ = 16.3871 cm³. Thus, to convert a given value in cubic inches to cubic centimeters, we simply multiply the value in in³ by 16.3871.

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