Questions and Answers
What is a unit conversion?
A changing of one unit to another.
What are some examples of metric units?
Meters, liters, grams.
Which of the following is NOT a common metric unit prefix?
1 km = ____ m
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Conversion factors can only be used for metric units.
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What is the conversion factor for converting centimeters to inches?
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If an object has a mass of 4.50 lbs, what is its mass in grams?
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What is the formula to convert Celsius to Kelvin?
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What is the density formula?
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At what temperature do Celsius and Fahrenheit equal each other?
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Convert 3 m to mm.
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Convert 5200 mL to L.
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Study Notes
Unit Conversion Overview
- Unit conversion is the process of changing one unit to another.
- Essential units include meters, grams, inches, feet, pounds, and seconds.
Metric Units
- Metric units are universally accepted worldwide, except in the US.
- They are straightforward to convert.
- Base units include meters (m), liters (L), and grams (g); all other metric units derive from these.
Common Metric Prefixes
- Mega: M
- kilo: k
- hecto: h
- deka: da or D
- Base unit: m, l, g
- deci: d
- centi: c
- milli: m
- micro: µ
- nano: n
Metric Conversion Factors
- 1 kilometer (km) = 1000 meters (m)
- 100 centimeters (cm) = 1 meter (m)
- 1000 millimeters (mm) = 1 meter (m)
- Dimensional analysis is used for unit conversion, utilizing equivalence statements between units.
Converting Units of Measurement
- A conversion factor derived from equivalence statements facilitates converting one unit to another.
- Example: To convert centimeters to inches, use the equivalence statement 2.54 cm = 1 in.
Example Conversions
- Converting 3 meters to centimeters:
- 3 m × (100 cm / 1 m) = 300 cm
- Converting 1516 grams to kilograms:
- 1516 g × (1 kg / 1000 g) = 1.516 kg
- Converting 7200 mm to kilometers:
- 7200 mm × (1 cm / 10 mm) × (1 km / 100,000 cm) = 0.0072 km
Non-Metric (English) Unit Conversions
- Common conversion factors:
- 5280 feet = 1 mile
- 12 inches = 1 foot
- 1 mile ≈ 1600 meters
- 1 inch = 2.54 cm
- Example: To convert 2 miles to feet:
- 2 mi × (5280 ft / 1 mi) = 10,560 ft
Temperature Conversions
- Three commonly used temperature scales: Fahrenheit, Celsius, and Kelvin.
- To convert Celsius to Kelvin:
- TK = To + 273
- Example conversion: 70°C = 70 + 273 = 343 K
Converting Between Fahrenheit and Celsius
- To convert Fahrenheit to Celsius:
- TC = (5/9)(TF - 32)
- Temperature where °C = °F is -40°.
Density
- Density is mass per unit volume, commonly expressed in g/cm³ or g/mL.
- Example: For a mineral with a mass of 17.8 g and a volume of 2.35 cm³,
- Density = 17.8 g / 2.35 cm³ = 7.57 g/cm³.
Practice Problems
- Convert various measurements using dimensional analysis:
- 45 inches to cm
- 8 m to inches
- 10 ft to cm
- 5 km to inches
- 40 km/h to m/s
- 200 °F to °C
- 500 K to °C
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Description
This quiz covers the fundamentals of metric units and conversions, highlighting their importance in scientific measurements. Test your knowledge on various units such as meters, grams, and seconds, and understand how to convert between them effectively.
