Lesson 8.1: Metric Units of Length and Conversion
Comprehensive lesson on Metric Units of Length and Conversion in Grade 5 Mathematics.
⏱️ Reading Time: 20 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Distance and Measurement
Civil Highway Surveying: Measuring road construction segments between cities.
💡 Core Mathematical Concepts: Metric Units of Length and Conversion
Focus areas: 1 km = 1,000 m; 1 m = 100 cm; 1 cm = 10 mm..
| Concept / Term | Mathematical Meaning | Real-Life Application |
|---|---|---|
| Kilometre (km) | Used for long distances between towns, roads, or marathon courses | 1 km = 1,000 metres |
| Metre (m) | Used for room dimensions, running tracks, and building heights | 1 m = 100 centimetres |
| Centimetre (cm) | Used for small objects like pencils, notebooks, and furniture | 1 cm = 10 millimetres |
📝 Step-by-Step Worked Examples
Worked Example 1: Convert 4.5 km to metres
4.5 × 1,000 = 4,500 m.
Worked Example 2: Convert 380 cm to metres
380 ÷ 100 = 3.8 m (3 m 80 cm).
⚠️ Common Misconceptions to Avoid
Common Misconception: Multiplying when converting small to large
Correction: To convert cm to m, DIVIDE by 100, do not multiply.
Common Misconception: Using wrong conversion factor for km
Correction: Remember 1 km is 1,000 m, NOT 100 m.
🎯
Self-Check Challenge
A relay team runs 4 legs of 400 metres each. How many total kilometres did the team run?
Answer & Explanation:
4 × 400 m = 1,600 m. 1,600 m ÷ 1,000 = 1.6 km.
🎯 Key Learning Takeaways
Master core definitions of Metric Units of Length and Conversion.
Apply mathematical principles to everyday scenarios.
Avoid common calculation and conceptual pitfalls.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G5-M-CH08-WS05
A4 • 15 Qs
Distance and Measurement: Worksheet 5
Practice Assessment 5 • Central Botanical Gardens Context
G5-M-CH08-WS04
A4 • 15 Qs
Distance and Measurement: Worksheet 4
Practice Assessment 4 • Eco-Friendly Solar Park Context
G5-M-CH08-WS03
A4 • 15 Qs
Distance and Measurement: Worksheet 3
Practice Assessment 3 • Harbor Marine Terminal Context
G5-M-CH08-WS02
A4 • 15 Qs
Distance and Measurement: Worksheet 2
Practice Assessment 2 • Science & Discovery Museum Context
G5-M-CH08-WS01
A4 • 15 Qs
Distance and Measurement: Worksheet 1
Practice Assessment 1 • City Regional Airport Context
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Short Answer
Hard
2 Marks
A marathon is 42 km 195 m long. If a runner has completed 28 km 650 m, exactly how much distance remains to reach the finish line?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
13 km 545 m
Step-by-Step Explanation:
42,195 m - 28,650 m = 13,545 m = 13 km 545 m.
2
Short Answer
Hard
2 Marks
A school 400-meter running track requires runners to complete 12.5 laps. What total distance do the runners cover in kilometers?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 km
Step-by-Step Explanation:
12.5 × 400 m = 5,000 meters. 5,000 m ÷ 1,000 = 5 km.
3
Short Answer
Hard
2 Marks
A student measures a tabletop using a 30 cm ruler and reports 120.4 cm. Why might measuring a long distance with multiple short ruler placements introduce errors?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Each time the ruler is picked up and placed down, slight misalignments and gaps or overlaps accumulate, compounding the total measurement error.
Step-by-Step Explanation:
Repeated manual repositioning compounds systematic and human alignment errors.
4
Short Answer
Hard
2 Marks
Explain why the metric system prefixes (kilo-, centi-, milli-) make unit conversions simpler than non-metric systems.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Metric prefixes are based on powers of 10. Converting between units simply involves multiplying or dividing by 10, 100, or 1,000 (shifting the decimal point).
Step-by-Step Explanation:
Powers of 10 align directly with our decimal base-10 number system.
5
Short Answer
Medium
1 Mark
A student says: '1.2 meters is 12 centimeters.' Identify the error and provide the correct conversion.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
120 centimeters
Step-by-Step Explanation:
1 meter = 100 cm, so 1.2 × 100 = 120 cm, not 12 cm.
6
Short Answer
Medium
1 Mark
Tom converts 2 km 50 m into meters as 2,500 m. What is Tom's mistake and what is the correct number of meters?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2,050 m
Step-by-Step Explanation:
Tom treated 50 m as 500 m. 2 km = 2,000 m, so 2,000 + 50 = 2,050 meters.
7
Fill in the Blanks
Medium
1 Mark
Complete the conversion: 750 cm = [ ? ] m 50 cm.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7
Step-by-Step Explanation:
700 cm = 7 meters.
8
Fill in the Blanks
Medium
1 Mark
Fill in the missing value: 5 km 200 m = [ ? ] meters.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,200
Step-by-Step Explanation:
5 × 1,000 + 200 = 5,200 meters.
9
Short Answer
Medium
1 Mark
A spool had 50 meters of electrical wire. An electrician used 32 meters and 45 centimeters. How much wire is left on the spool?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
17 m 55 cm
Step-by-Step Explanation:
50 m 00 cm - 32 m 45 cm = 17 m 55 cm.
10
Short Answer
Medium
1 Mark
A highway crew repaved 14 km 300 m of road in week one and 11 km 850 m in week two. What total distance of highway was repaved?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
26 km 150 m
Step-by-Step Explanation:
14,300 m + 11,850 m = 26,150 m = 26 km 150 m.
11
Short Answer
Medium
1 Mark
At the Central Botanical Gardens, a walking nature trail is 2 km 650 m long. If a hiker walks the trail twice, what total distance did the hiker cover in meters?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,300 m
Step-by-Step Explanation:
2 km 650 m = 2,650 m. Twice = 2,650 × 2 = 5,300 meters (or 5 km 300 m).
12
Multiple Choice
Easy
1 Mark
Which measurement unit is most appropriate for measuring the distance between two distant cities?
A
Kilometers
B
Centimeters
C
Millimeters
D
Meters
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Kilometers
Step-by-Step Explanation:
Kilometers are the standard metric unit for long geographical distances.
13
Multiple Choice
Easy
1 Mark
Convert 3,850 meters into kilometers and meters.
A
3 km 850 m
B
38 km 50 m
C
3 km 85 m
D
385 km
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 km 850 m
Step-by-Step Explanation:
3,850 m = 3,000 m + 850 m = 3 km 850 m.
14
Multiple Choice
Easy
1 Mark
How many centimeters are in 4.5 meters?
A
450 cm
B
45 cm
C
4,500 cm
D
405 cm
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
450 cm
Step-by-Step Explanation:
1 meter = 100 centimeters. 4.5 × 100 = 450 cm.
15
Multiple Choice
Easy
1 Mark
Convert 15 kilometers into meters.
A
15,000 m
B
1,500 m
C
150,000 m
D
1,500 m
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
15,000 m
Step-by-Step Explanation:
1 kilometer = 1,000 meters. 15 × 1,000 = 15,000 meters.
16
Short Answer
Hard
2 Marks
A marathon is 42 km 195 m long. If a runner has completed 28 km 650 m, exactly how much distance remains to reach the finish line?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
13 km 545 m
Step-by-Step Explanation:
42,195 m - 28,650 m = 13,545 m = 13 km 545 m.
17
Short Answer
Hard
2 Marks
A school 400-meter running track requires runners to complete 12.5 laps. What total distance do the runners cover in kilometers?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 km
Step-by-Step Explanation:
12.5 × 400 m = 5,000 meters. 5,000 m ÷ 1,000 = 5 km.
18
Short Answer
Hard
2 Marks
A student measures a tabletop using a 30 cm ruler and reports 120.4 cm. Why might measuring a long distance with multiple short ruler placements introduce errors?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Each time the ruler is picked up and placed down, slight misalignments and gaps or overlaps accumulate, compounding the total measurement error.
Step-by-Step Explanation:
Repeated manual repositioning compounds systematic and human alignment errors.
19
Short Answer
Hard
2 Marks
Explain why the metric system prefixes (kilo-, centi-, milli-) make unit conversions simpler than non-metric systems.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Metric prefixes are based on powers of 10. Converting between units simply involves multiplying or dividing by 10, 100, or 1,000 (shifting the decimal point).
Step-by-Step Explanation:
Powers of 10 align directly with our decimal base-10 number system.
20
Short Answer
Medium
1 Mark
A student says: '1.2 meters is 12 centimeters.' Identify the error and provide the correct conversion.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
120 centimeters
Step-by-Step Explanation:
1 meter = 100 cm, so 1.2 × 100 = 120 cm, not 12 cm.
21
Short Answer
Medium
1 Mark
Tom converts 2 km 50 m into meters as 2,500 m. What is Tom's mistake and what is the correct number of meters?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2,050 m
Step-by-Step Explanation:
Tom treated 50 m as 500 m. 2 km = 2,000 m, so 2,000 + 50 = 2,050 meters.
22
Fill in the Blanks
Medium
1 Mark
Complete the conversion: 750 cm = [ ? ] m 50 cm.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7
Step-by-Step Explanation:
700 cm = 7 meters.
23
Fill in the Blanks
Medium
1 Mark
Fill in the missing value: 5 km 200 m = [ ? ] meters.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,200
Step-by-Step Explanation:
5 × 1,000 + 200 = 5,200 meters.
24
Short Answer
Medium
1 Mark
A spool had 50 meters of electrical wire. An electrician used 32 meters and 45 centimeters. How much wire is left on the spool?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
17 m 55 cm
Step-by-Step Explanation:
50 m 00 cm - 32 m 45 cm = 17 m 55 cm.
25
Short Answer
Medium
1 Mark
A highway crew repaved 14 km 300 m of road in week one and 11 km 850 m in week two. What total distance of highway was repaved?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
26 km 150 m
Step-by-Step Explanation:
14,300 m + 11,850 m = 26,150 m = 26 km 150 m.
26
Short Answer
Medium
1 Mark
At the Eco-Friendly Solar Park, a walking nature trail is 2 km 650 m long. If a hiker walks the trail twice, what total distance did the hiker cover in meters?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,300 m
Step-by-Step Explanation:
2 km 650 m = 2,650 m. Twice = 2,650 × 2 = 5,300 meters (or 5 km 300 m).
27
Multiple Choice
Easy
1 Mark
Which measurement unit is most appropriate for measuring the distance between two distant cities?
A
Kilometers
B
Centimeters
C
Millimeters
D
Meters
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Kilometers
Step-by-Step Explanation:
Kilometers are the standard metric unit for long geographical distances.
28
Multiple Choice
Easy
1 Mark
Convert 3,850 meters into kilometers and meters.
A
3 km 850 m
B
38 km 50 m
C
3 km 85 m
D
385 km
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 km 850 m
Step-by-Step Explanation:
3,850 m = 3,000 m + 850 m = 3 km 850 m.
29
Multiple Choice
Easy
1 Mark
How many centimeters are in 4.5 meters?
A
450 cm
B
45 cm
C
4,500 cm
D
405 cm
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
450 cm
Step-by-Step Explanation:
1 meter = 100 centimeters. 4.5 × 100 = 450 cm.
30
Multiple Choice
Easy
1 Mark
Convert 12 kilometers into meters.
A
12,000 m
B
1,200 m
C
120,000 m
D
1,200 m
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
12,000 m
Step-by-Step Explanation:
1 kilometer = 1,000 meters. 12 × 1,000 = 12,000 meters.
31
Short Answer
Hard
2 Marks
A marathon is 42 km 195 m long. If a runner has completed 28 km 650 m, exactly how much distance remains to reach the finish line?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
13 km 545 m
Step-by-Step Explanation:
42,195 m - 28,650 m = 13,545 m = 13 km 545 m.
32
Short Answer
Hard
2 Marks
A school 400-meter running track requires runners to complete 12.5 laps. What total distance do the runners cover in kilometers?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 km
Step-by-Step Explanation:
12.5 × 400 m = 5,000 meters. 5,000 m ÷ 1,000 = 5 km.
33
Short Answer
Hard
2 Marks
A student measures a tabletop using a 30 cm ruler and reports 120.4 cm. Why might measuring a long distance with multiple short ruler placements introduce errors?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Each time the ruler is picked up and placed down, slight misalignments and gaps or overlaps accumulate, compounding the total measurement error.
Step-by-Step Explanation:
Repeated manual repositioning compounds systematic and human alignment errors.
34
Short Answer
Hard
2 Marks
Explain why the metric system prefixes (kilo-, centi-, milli-) make unit conversions simpler than non-metric systems.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Metric prefixes are based on powers of 10. Converting between units simply involves multiplying or dividing by 10, 100, or 1,000 (shifting the decimal point).
Step-by-Step Explanation:
Powers of 10 align directly with our decimal base-10 number system.
35
Short Answer
Medium
1 Mark
A student says: '1.2 meters is 12 centimeters.' Identify the error and provide the correct conversion.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
120 centimeters
Step-by-Step Explanation:
1 meter = 100 cm, so 1.2 × 100 = 120 cm, not 12 cm.
36
Short Answer
Medium
1 Mark
Tom converts 2 km 50 m into meters as 2,500 m. What is Tom's mistake and what is the correct number of meters?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2,050 m
Step-by-Step Explanation:
Tom treated 50 m as 500 m. 2 km = 2,000 m, so 2,000 + 50 = 2,050 meters.
37
Fill in the Blanks
Medium
1 Mark
Complete the conversion: 750 cm = [ ? ] m 50 cm.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7
Step-by-Step Explanation:
700 cm = 7 meters.
38
Fill in the Blanks
Medium
1 Mark
Fill in the missing value: 5 km 200 m = [ ? ] meters.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,200
Step-by-Step Explanation:
5 × 1,000 + 200 = 5,200 meters.
39
Short Answer
Medium
1 Mark
A spool had 50 meters of electrical wire. An electrician used 32 meters and 45 centimeters. How much wire is left on the spool?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
17 m 55 cm
Step-by-Step Explanation:
50 m 00 cm - 32 m 45 cm = 17 m 55 cm.
40
Short Answer
Medium
1 Mark
A highway crew repaved 14 km 300 m of road in week one and 11 km 850 m in week two. What total distance of highway was repaved?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
26 km 150 m
Step-by-Step Explanation:
14,300 m + 11,850 m = 26,150 m = 26 km 150 m.
41
Short Answer
Medium
1 Mark
At the Harbor Marine Terminal, a walking nature trail is 2 km 650 m long. If a hiker walks the trail twice, what total distance did the hiker cover in meters?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5,300 m
Step-by-Step Explanation:
2 km 650 m = 2,650 m. Twice = 2,650 × 2 = 5,300 meters (or 5 km 300 m).
42
Multiple Choice
Easy
1 Mark
Which measurement unit is most appropriate for measuring the distance between two distant cities?
A
Kilometers
B
Centimeters
C
Millimeters
D
Meters
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Kilometers
Step-by-Step Explanation:
Kilometers are the standard metric unit for long geographical distances.
43
Multiple Choice
Easy
1 Mark
Convert 3,850 meters into kilometers and meters.
A
3 km 850 m
B
38 km 50 m
C
3 km 85 m
D
385 km
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3 km 850 m
Step-by-Step Explanation:
3,850 m = 3,000 m + 850 m = 3 km 850 m.
44
Multiple Choice
Easy
1 Mark
How many centimeters are in 4.5 meters?
A
450 cm
B
45 cm
C
4,500 cm
D
405 cm
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
450 cm
Step-by-Step Explanation:
1 meter = 100 centimeters. 4.5 × 100 = 450 cm.
45
Multiple Choice
Easy
1 Mark
Convert 9 kilometers into meters.
A
9,000 m
B
900 m
C
90,000 m
D
900 m
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9,000 m
Step-by-Step Explanation:
1 kilometer = 1,000 meters. 9 × 1,000 = 9,000 meters.
46
Short Answer
Hard
2 Marks
A marathon is 42 km 195 m long. If a runner has completed 28 km 650 m, exactly how much distance remains to reach the finish line?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
13 km 545 m
Step-by-Step Explanation:
42,195 m - 28,650 m = 13,545 m = 13 km 545 m.
47
Short Answer
Hard
2 Marks
A school 400-meter running track requires runners to complete 12.5 laps. What total distance do the runners cover in kilometers?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 km
Step-by-Step Explanation:
12.5 × 400 m = 5,000 meters. 5,000 m ÷ 1,000 = 5 km.
48
Short Answer
Hard
2 Marks
A student measures a tabletop using a 30 cm ruler and reports 120.4 cm. Why might measuring a long distance with multiple short ruler placements introduce errors?
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Each time the ruler is picked up and placed down, slight misalignments and gaps or overlaps accumulate, compounding the total measurement error.
Step-by-Step Explanation:
Repeated manual repositioning compounds systematic and human alignment errors.
49
Short Answer
Hard
2 Marks
Explain why the metric system prefixes (kilo-, centi-, milli-) make unit conversions simpler than non-metric systems.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Metric prefixes are based on powers of 10. Converting between units simply involves multiplying or dividing by 10, 100, or 1,000 (shifting the decimal point).
Step-by-Step Explanation:
Powers of 10 align directly with our decimal base-10 number system.
50
Short Answer
Medium
1 Mark
A student says: '1.2 meters is 12 centimeters.' Identify the error and provide the correct conversion.
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
120 centimeters
Step-by-Step Explanation:
1 meter = 100 cm, so 1.2 × 100 = 120 cm, not 12 cm.