Mathematics Grade 5 15 min

Convert metric mixed units

Convert metric mixed units

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Introduction & Learning Objectives

Learning Objectives Identify common metric units for length, mass, and capacity. Recall the conversion factors between common metric units (e.g., km to m, kg to g, L to mL). Convert a metric mixed unit measurement (e.g., 2 km 350 m) into a single unit (e.g., meters or kilometers). Convert a single metric unit measurement (e.g., 2350 m) into a mixed unit measurement (e.g., 2 km 350 m). Apply decimal operations to convert between metric units. Solve real-world problems involving the conversion of metric mixed units. Have you ever seen a recipe that calls for '1 liter and 250 milliliters' of milk? 🥛 Or maybe a road sign that says '2 kilometers and 500 meters' to the next town? 🤔 In this lesson, you'll learn how to work with these 'mixed' me...
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Key Concepts & Vocabulary

TermDefinitionExample Metric SystemA system of measurement used worldwide, based on units of 10. It includes units for length (meter), mass (gram), and capacity (liter).The metric system uses units like kilometers, meters, centimeters, and millimeters for length. Base UnitThe fundamental unit for a specific type of measurement in the metric system, without any prefixes.The meter is the base unit for length, the gram for mass, and the liter for capacity. PrefixA part added to the beginning of a base unit to indicate a multiple or fraction of that unit, usually by powers of 10.In 'kilometer,' 'kilo-' is the prefix meaning 1,000. In 'milliliter,' 'milli-' is the prefix meaning 1/1,000. Mixed UnitA measurement expressed using two different but related m...
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Core Formulas

Length Conversion (Kilometers and Meters) $1 ext{ km} = 1000 ext{ m}$ To convert kilometers to meters, multiply by 1000. To convert meters to kilometers, divide by 1000. Mass Conversion (Kilograms and Grams) $1 ext{ kg} = 1000 ext{ g}$ To convert kilograms to grams, multiply by 1000. To convert grams to kilograms, divide by 1000. Capacity Conversion (Liters and Milliliters) $1 ext{ L} = 1000 ext{ mL}$ To convert liters to milliliters, multiply by 1000. To convert milliliters to liters, divide by 1000. General Conversion Rule (Larger to Smaller, Smaller to Larger) Larger unit to Smaller unit: Multiply by conversion factor. Smaller unit to Larger unit: Divide by conversion factor. This rule applies to all metric conversions. Think about whether your answe...

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Sample Practice Questions

Challenging
A large container of 10 L 500 mL of juice is poured equally into 5 bottles. How many milliliters of juice are in each bottle?
A.210 mL
B.2100 mL
C.2.1 mL
D.2010 mL
Challenging
Arrange the following lengths from shortest to longest: A) 1.55 km, B) 1 km 505 m, C) 1500 m
A.A, B, C
B.B, A, C
C.A, C, B
D.C, B, A
Challenging
A container held 2 kg 50 g of flour. After a baker used some, 1.2 kg of flour was left. How much flour did the baker use, in grams?
A.850 g
B.800 g
C.1.15 g
D.1150 g

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