Mathematics
Grade 4
15 min
Convert metric mixed units
Convert metric mixed units
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the relationship between larger and smaller metric units of length, mass, and volume.
Convert a measurement from a larger metric unit to a smaller metric unit (e.g., 5 kg to 5,000 g).
Express a measurement given in a single smaller unit as a mixed unit (e.g., 2,500 mL as 2 L 500 mL).
Convert a measurement given in mixed units to a single smaller unit (e.g., 3 km 200 m to 3,200 m).
Add and subtract metric mixed units with regrouping.
Solve one-step word problems involving converting metric mixed units.
Have you ever tried to bake a cake and the recipe says you need 1,200 grams of flour, but your measuring scoop is for kilograms? 🤔 Let's learn how to figure that out!
In this lesson, we will explore how to work with measurements that use two...
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Key Concepts & Vocabulary
TermDefinitionExample
Metric SystemA system of measurement where units are related by powers of 10. The main units we use are meters (for length), grams (for mass/weight), and liters (for volume).10 millimeters make a centimeter, and 1,000 meters make a kilometer.
Mixed UnitsA way of writing a single measurement using two or more related units.The length of a room is 4 meters 25 centimeters. The weight of a cat is 3 kilograms 500 grams.
ConversionChanging a measurement from one unit to another without changing its actual value.Converting 1,500 meters to 1 kilometer 500 meters. The distance is the same, but the units are written differently.
Kilometer (km)A metric unit used to measure long distances. The prefix 'kilo' means 1,000.1 kilometer is equal to 1,000 meters.
Kilogram (kg...
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Core Formulas
Length Conversion
1 \text{ km} = 1,000 \text{ m}
To convert kilometers (the larger unit) to meters (the smaller unit), you multiply the number of kilometers by 1,000.
Mass (Weight) Conversion
1 \text{ kg} = 1,000 \text{ g}
To convert kilograms (the larger unit) to grams (the smaller unit), you multiply the number of kilograms by 1,000.
Volume Conversion
1 \text{ L} = 1,000 \text{ mL}
To convert liters (the larger unit) to milliliters (the smaller unit), you multiply the number of liters by 1,000.
5 more steps in this tutorial
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Challenging
Maya has two containers of rice. The first weighs 2 kg 700 g and the second weighs 1 kg 500 g. If she needs a total of 5,000 g of rice for a party, how many more grams of rice does she need?
A.800 g
B.1,200 g
C.4,200 g
D.5,800 g
Challenging
Which measurement is the greatest?
A.4 km 50 m
B.4,500 m
C.4 km 450 m
D.4,045 m
Challenging
A cyclist rides a track that is 750 meters long per lap. If the cyclist completes 5 laps, what is the total distance traveled, expressed in kilometers and meters?
A.37 km 50 m
B.3 km 570 m
C.4 km 250 m
D.3 km 750 m
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