10 Questions
What is the conversion factor from meters to kilometers?
1 kilometer per 1,000 meters
When setting up an equation, why must the units of the ingredients be on the opposite side of the fraction bar from the conversion factor?
So that the units cancel out
What is the purpose of the number 1 in the denominator in the equation (2,000 m / 1) * (1 km / 1,000 m) = km?
It has no effect on the math
What is the unit of the answer when converting 1.5 kilograms to grams using the conversion factor 1,000 grams per kilogram?
grams
What is the conversion factor used to convert milliliters to liters?
1,000 milliliters per liter
What is the analogy used to explain the process of converting units in the metric system?
Making a smoothie
What is the role of the conversion factor in the metric system conversion process?
To convert the starting units into the final product
What is the relationship between a metric unit's name and its value?
The prefix determines the unit's value
What is the conversion factor in the example problem of converting 2,000 meters into kilometers?
1 kilometer per 1,000 meters
Where can you find a conversion factor when working on conversion problems?
In a textbook or online
Study Notes
Converting Units in the Metric System
- The process of converting units in the metric system involves three key elements: the basic ingredients (what you're starting with), the smoothie (what you want to end up with), and the blender (the conversion factor).
- The conversion factor is essential to the process and helps convert the ingredients into the final product.
Setting Up the Conversion
- To set up a conversion, identify the starting unit (basic ingredients), the desired unit (smoothie), and the conversion factor (blender).
- The conversion factor can be found online or in a textbook, or can be derived from understanding the relationship between a metric unit's name and its value.
Calculating the Conversion
- When setting up an equation, always put the ingredients first, followed by the conversion factor, and then the desired unit (smoothie).
- The units of the ingredients must always be on the opposite side of the fraction bar to cancel out.
- Ensure that the units being cancelled out are on opposite sides of the fraction bar.
Examples and Practice
- Convert 2,000 meters to kilometers: (2,000 m / 1) * (1 km / 1,000 m) = km
- Convert 1.5 kilograms to grams: (1.5 kg / 1) * (1,000 g / 1 kg) = g
- Convert 13,000 milliliters to liters: (13,000 mL / 1) * (1 L / 1,000 mL) = L
Learn about the basic principles of the metric system, including conversions and measurements. This quiz covers the fundamental concepts of the metric system, from everyday applications to scientific conversions.
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