The Metric System: Measures and Conversions
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Questions and Answers

What is the conversion factor from meters to kilometers?

  • 1 kilometer per 1,000 meters (correct)
  • 1 meter per 1 kilometer
  • 1 kilometer per 100 meters
  • 1,000 kilometers per meter
  • 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 (correct)
  • So that the units are combined
  • So that the numbers are multiplied together
  • So that the units are added together
  • 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 (correct)
  • It is a placeholder to balance the equation
  • It is a multiplier to increase the answer
  • It is a conversion factor
  • What is the unit of the answer when converting 1.5 kilograms to grams using the conversion factor 1,000 grams per kilogram?

    <p>grams</p> Signup and view all the answers

    What is the conversion factor used to convert milliliters to liters?

    <p>1,000 milliliters per liter</p> Signup and view all the answers

    What is the analogy used to explain the process of converting units in the metric system?

    <p>Making a smoothie</p> Signup and view all the answers

    What is the role of the conversion factor in the metric system conversion process?

    <p>To convert the starting units into the final product</p> Signup and view all the answers

    What is the relationship between a metric unit's name and its value?

    <p>The prefix determines the unit's value</p> Signup and view all the answers

    What is the conversion factor in the example problem of converting 2,000 meters into kilometers?

    <p>1 kilometer per 1,000 meters</p> Signup and view all the answers

    Where can you find a conversion factor when working on conversion problems?

    <p>In a textbook or online</p> Signup and view all the answers

    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

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    Description

    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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