Mathematics
Grade 4
15 min
Add and subtract metric mixed unit
Add and subtract metric mixed unit
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1
Introduction & Learning Objectives
Learning Objectives
Convert larger metric units of length, mass, and volume to smaller units (e.g., km to m, kg to g, L to mL).
Add two measurements with metric mixed units, including problems that require regrouping.
Subtract two measurements with metric mixed units, including problems that require regrouping.
Solve one-step word problems involving the addition of metric mixed units.
Solve one-step word problems involving the subtraction of metric mixed units.
Express an answer in the simplest mixed unit form (e.g., converting 3500 g to 3 kg 500 g).
Imagine you have a ribbon that is 1 meter and 20 cm long, and your friend gives you another 50 cm. How long is your ribbon now? 📏
In this lesson, we will learn how to add and subtract measurements that have mixed units, like m...
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Key Concepts & Vocabulary
TermDefinitionExample
Metric SystemA system of measurement based on the number 10. Common units are meters (length), grams (mass/weight), and liters (volume).100 centimeters make 1 meter, and 1000 meters make 1 kilometer.
Mixed UnitsA measurement that uses two or more different units from the same category (like length or mass).A baby's weight might be 4 kg 150 g. This is a mixed unit of mass.
ConversionChanging a measurement from one unit to another without changing its total value.Converting 2 meters to centimeters gives you 200 centimeters (2 x 100 = 200).
Base UnitThe main unit of measurement in the metric system, such as meter (m), gram (g), or liter (L).In the measurement 5 kg, 'gram' is the base unit and 'kilo' is the prefix.
PrefixA word part added to the...
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Core Formulas
Key Metric Conversion Factors
1 km = 1000 m \\ 1 m = 100 cm \\ 1 kg = 1000 g \\ 1 L = 1000 mL
Memorize these common conversions. They are the building blocks for solving all mixed unit problems.
The 'Convert and Compute' Strategy
Step 1: Convert all measurements to the smallest unit. \\ Step 2: Add or subtract. \\ Step 3: Convert back to mixed units if needed.
This is the main rule for adding or subtracting mixed units. Always work with the same unit to avoid mistakes.
4 more steps in this tutorial
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Challenging
A baker has a 10 kg bag of flour. He uses 2 kg 500 g for bread and 1 kg 750 g for cakes. How much flour is left in the bag?
A.5 kg 750 g
B.4 kg 250 g
C.6 kg 750 g
D.5 kg 250 g
Challenging
A large fish tank holds 20 L of water. To clean it, 8 L 650 mL of water is drained out. Then, 5 L 800 mL of fresh water is added back in. How much water is in the tank now?
A.11 L 350 mL
B.16 L 150 mL
C.17 L 150 mL
D.17 L 450 mL
Challenging
A construction worker has a wooden plank that is 4 m 30 cm long. He cuts off a piece that is 150 cm long. What is the length of the remaining plank?
A.3 m 80 cm
B.2 m 80 cm
C.3 m 20 cm
D.2 m 20 cm
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