Mathematics
Grade 7
15 min
Metric units of length: word problems
Metric units of length: word problems
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1
Introduction & Learning Objectives
Learning Objectives
Identify the appropriate metric unit of length (mm, cm, m, km) for a given context.
Convert accurately between different metric units of length (e.g., meters to centimeters, kilometers to meters).
Translate real-world scenarios into mathematical expressions involving metric lengths.
Solve multi-step word problems requiring addition, subtraction, multiplication, or division of metric lengths.
Determine when unit conversion is necessary to solve a word problem.
Estimate lengths and verify the reasonableness of solutions in word problems.
Ever wondered how much ribbon you need for a gift, or how far your school is from home? 📏 These everyday questions often involve measuring length!
In this lesson, you'll learn to tackle word problems that use metric...
2
Key Concepts & Vocabulary
TermDefinitionExample
Millimeter (mm)The smallest common metric unit of length, often used for very precise measurements or small objects.The thickness of a credit card is approximately 1 millimeter.
Centimeter (cm)A unit of length equal to 10 millimeters, commonly used for measuring smaller objects or body parts.The length of your thumb is typically around 5-7 centimeters.
Meter (m)The base unit of length in the metric system, equal to 100 centimeters or 1000 millimeters. It's used for measuring objects of human scale.The height of a standard door is approximately 2 meters.
Kilometer (km)A unit of length equal to 1000 meters, used for measuring long distances between places.The distance from your home to a nearby park might be 2 kilometers.
Unit ConversionThe process of changing a m...
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Core Formulas
Kilometer to Meter Conversion
$1 \text{ km} = 1000 \text{ m}$
To convert kilometers to meters, multiply the number of kilometers by 1000. To convert meters to kilometers, divide by 1000.
Meter to Centimeter Conversion
$1 \text{ m} = 100 \text{ cm}$
To convert meters to centimeters, multiply the number of meters by 100. To convert centimeters to meters, divide by 100.
Centimeter to Millimeter Conversion
$1 \text{ cm} = 10 \text{ mm}$
To convert centimeters to millimeters, multiply the number of centimeters by 10. To convert millimeters to centimeters, divide by 10.
General Conversion Principle
Larger unit to smaller unit: Multiply. Smaller unit to larger unit: Divide.
This rule helps determine whether to multiply or divide when converting between any two metri...
5 more steps in this tutorial
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Challenging
On a map, the scale is 2 cm : 5 km. The distance between two cities on the map is 16 cm. A delivery driver takes a detour that adds an extra 4,500 meters to the trip. What is the total distance the driver travels in kilometers?
A.40 km
B.44.5 km
C.80 km
D.84.5 km
Challenging
A stack of 500 sheets of paper is 5 cm thick. These stacks are packed in boxes, with each box holding 10 stacks. What is the minimum number of full boxes required to create a single column of boxes that is at least 3 meters tall?
A.6 boxes
B.5 boxes
C.8 boxes
D.60 boxes
Challenging
A straight 20-meter-long fence is being built. A post is placed at the very beginning (at 0 meters), and another post is placed every 250 centimeters thereafter. How many posts are needed in total for the entire fence?
A.7 posts
B.8 posts
C.10 posts
D.9 posts
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