Mathematics
Grade 4
15 min
Compare and convert metric units
Compare and convert metric units
Tutorial Preview
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Introduction & Learning Objectives
Learning Objectives
Identify the base metric units for length (meter), mass (gram), and capacity (liter).
Understand the meaning of the prefixes kilo-, centi-, and milli- and their relationship to the base unit.
Convert larger metric units to smaller metric units (e.g., kilometers to meters, kilograms to grams, liters to milliliters).
Convert smaller metric units to larger metric units (e.g., centimeters to meters, grams to kilograms).
Compare two metric measurements with different units using the symbols <, >, or =.
Solve one-step word problems that require metric unit conversions.
Have you ever wondered how many tiny milliliters are in your big bottle of juice? 🥤 Let's find out how to measure and compare everything in the world around us!
In this lesson, we wi...
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Key Concepts & Vocabulary
TermDefinitionExample
Metric SystemA system of measurement used by most of the world. It's easy to use because it is based on powers of 10.Measuring length in meters, mass in grams, and volume in liters are all part of the metric system.
Meter (m)The base unit for measuring length or distance.The width of a classroom door is about 1 meter.
Gram (g)The base unit for measuring mass (how heavy something is).A single paperclip has a mass of about 1 gram.
Liter (L)The base unit for measuring capacity or liquid volume.A large carton of milk often holds 1 liter.
PrefixA word part added to the beginning of a base unit to change its value.In 'kilometer', 'kilo-' is the prefix. It means 1,000. So, a kilometer is 1,000 meters.
ConversionChanging a measurement from one unit t...
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Core Formulas
Rule 1: Converting Larger Units to Smaller Units
Number of smaller units = Number of larger units \times Conversion Factor
When you are changing from a big unit (like meters) to a smaller unit (like centimeters), you will have MORE of the smaller units. So, you need to MULTIPLY.
Rule 2: Converting Smaller Units to Larger Units
Number of larger units = Number of smaller units \div Conversion Factor
When you are changing from a small unit (like grams) to a bigger unit (like kilograms), you will have FEWER of the bigger units. So, you need to DIVIDE.
Key Conversion Factors
1 km = 1,000 m \| 1 m = 100 cm \| 1 kg = 1,000 g \| 1 L = 1,000 mL
These are the most important facts to memorize. They are the 'Conversion Factors' you will use to multiply or divide.
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Challenging
A large jug contains 2 liters of water. If you pour out 650 milliliters, how many milliliters of water are left in the jug?
A.1,350 mL
B.648 mL
C.2,650 mL
D.1,450 mL
Challenging
A wooden plank is 5 meters long. It is cut into two pieces. One piece is 280 cm long. How long is the other piece in centimeters?
A.275 cm
B.220 cm
C.320 cm
D.5280 cm
Challenging
A bag of flour weighs 2 kg. A bag of sugar weighs 2,100 g. A bag of rice weighs more than the flour but less than the sugar. Which of these could be the weight of the rice?
A.1,900 g
B.2,050 g
C.2,200 g
D.2 kg
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