Chapter 51: Metric Measurement and Conversions
Learn Grade 6 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Metric Measurement and Conversions in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
Key Technical Terms
- Choosing metric units (Choosing metric units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Millimetres (Millimetres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Centimetres (Centimetres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Metres (Metres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Kilometres (Kilometres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Milligrams (Milligrams is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
How to Learn This Chapter
Read the explanation first, follow each worked example slowly, cover the answer and retry the problem yourself, then use the practice and review questions to check understanding.
51.1 Choosing metric units
Choosing metric units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Choosing metric units. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.2 Millimetres
Millimetres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Millimetres. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.3 Centimetres
Centimetres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Centimetres. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.4 Metres
Metres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Metres. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.5 Kilometres
Kilometres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Kilometres. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.6 Milligrams
Milligrams is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Milligrams. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.7 Grams
Grams is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Grams. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.8 Kilograms
Kilograms is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Kilograms. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.9 Millilitres
Millilitres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Millilitres. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.10 Litres
Litres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Litres. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.11 Converting length units
Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Converting length units to analyze the values 22 and 18. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Converting length units to analyze the values 12 and 13. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Converting length units to analyze the values 20 and 13. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Converting length units to analyze the values 22 and 7. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Converting length units to analyze the values 4 and 17. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Converting length units to analyze the values 15 and 4. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Converting length units to analyze the values 13 and 3. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Converting length units to analyze the values 19 and 15. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Converting length units to analyze the values 30 and 18. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Converting length units to analyze the values 15 and 14. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Converting length units. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.12 Converting mass units
Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Converting mass units to analyze the values 3 and 17. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Converting mass units to analyze the values 5 and 18. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Converting mass units to analyze the values 13 and 17. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Converting mass units to analyze the values 10 and 17. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Converting mass units to analyze the values 8 and 13. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Converting mass units to analyze the values 14 and 16. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Converting mass units to analyze the values 13 and 17. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Converting mass units to analyze the values 9 and 10. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Converting mass units to analyze the values 23 and 8. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Converting mass units to analyze the values 12 and 10. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Converting mass units. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.13 Converting capacity units
Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Use Converting capacity units to analyze the values 19 and 5. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 2
Problem: Use Converting capacity units to analyze the values 20 and 18. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 3
Problem: Use Converting capacity units to analyze the values 22 and 5. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 4
Problem: Use Converting capacity units to analyze the values 18 and 13. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 5
Problem: Use Converting capacity units to analyze the values 25 and 13. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 6
Problem: Use Converting capacity units to analyze the values 5 and 8. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 7
Problem: Use Converting capacity units to analyze the values 3 and 12. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 8
Problem: Use Converting capacity units to analyze the values 10 and 4. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 9
Problem: Use Converting capacity units to analyze the values 5 and 17. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Worked Example 10
Problem: Use Converting capacity units to analyze the values 20 and 8. What should be checked first?
- Identify what each value represents.
- Choose the rule, representation, or comparison that matches the topic.
- Show the reasoning before accepting the result.
Very beginner explanation: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Answer: Check the meaning of the values and the rule required by the problem.
Practice Exercise
Create one new Grade 6 problem about Converting capacity units. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
51.14 Multi-step metric problems
Multi-step metric problems is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable. In this Grade 6 lesson, focus on meaning first, then use a small example, show the steps, and check whether the result fits the question.
Beginner Note
Identify what is given, what must be found, and which rule or representation fits this topic. Work one step at a time and explain why each step is valid.
10 Worked Examples with Answers and Very-Beginner Explanations
Worked Example 1
Problem: Convert 0.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 0.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 50 cm
Worked Example 2
Problem: Convert 1.2 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 1.2 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 120 cm
Worked Example 3
Problem: Convert 2.75 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 2.75 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 275 cm
Worked Example 4
Problem: Convert 3.6 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 3.6 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 360 cm
Worked Example 5
Problem: Convert 4.05 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 4.05 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 405 cm
Worked Example 6
Problem: Convert 5.5 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 5.5 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 550 cm
Worked Example 7
Problem: Convert 7.25 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 7.25 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 725 cm
Worked Example 8
Problem: Convert 8.8 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 8.8 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 880 cm
Worked Example 9
Problem: Convert 10.1 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 10.1 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,010 cm
Worked Example 10
Problem: Convert 12.45 metres to centimetres.
- Use 1 metre = 100 centimetres.
- Multiply 12.45 by 100.
Very beginner explanation: Metric units are connected by powers of 10, so conversions often use multiplication or division by 10, 100, or 1000.
Answer: 1,245 cm
Practice Exercise
Create one new Grade 6 problem about Multi-step metric problems. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is starting a calculation before identifying what is given, what must be found, and which rule fits the problem.
30 Review Questions and Answers
Q1. What is important to understand about Choosing metric units?
Answer: Choosing metric units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q2. What is important to understand about Millimetres?
Answer: Millimetres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q3. What is important to understand about Centimetres?
Answer: Centimetres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q4. What is important to understand about Metres?
Answer: Metres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q5. What is important to understand about Kilometres?
Answer: Kilometres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q6. What is important to understand about Milligrams?
Answer: Milligrams is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q7. What is important to understand about Grams?
Answer: Grams is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q8. What is important to understand about Kilograms?
Answer: Kilograms is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q9. What is important to understand about Millilitres?
Answer: Millilitres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q10. What is important to understand about Litres?
Answer: Litres is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q11. What is important to understand about Converting length units?
Answer: Converting length units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q12. What is important to understand about Converting mass units?
Answer: Converting mass units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q13. What is important to understand about Converting capacity units?
Answer: Converting capacity units is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q14. What is important to understand about Multi-step metric problems?
Answer: Multi-step metric problems is a Grade 6 mathematics idea in Metric Measurement and Conversions. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.
Q15. Why should you show your steps?
Answer: Showing steps makes reasoning easier to verify and helps locate mistakes.
Q16. Why is estimation useful?
Answer: Estimation helps you judge whether a final answer is reasonable before accepting it.
Q17. Why do units matter?
Answer: Units tell what a value measures and help prevent incompatible quantities from being mixed.
Q18. When should you round?
Answer: Usually round near the end unless the question specifically asks for earlier rounding.
Q19. How can you check an answer?
Answer: Use an inverse operation, substitution, estimation, a graph, a table, or a second method.
Q20. What should you identify first in a word problem?
Answer: Identify what is known, what is unknown, and the relationship connecting them.
Q21. What makes a final answer complete?
Answer: Give the value, correct units when needed, and a brief interpretation in context.
Q22. What should you do if an answer seems unreasonable?
Answer: Re-read the question and check copied values, operations, signs, units, rules, and calculations.
Q23. Why are diagrams useful?
Answer: A labelled diagram can reveal relationships that are harder to see in words alone.
Q24. Why are tables useful?
Answer: Tables organize values so patterns, rates, comparisons, and missing information are easier to see.
Q25. Why are graphs useful?
Answer: Graphs make relationships, changes, trends, and comparisons visible.
Q26. Why should you explain your reasoning?
Answer: An explanation shows why a method works instead of only giving a final number.
Q27. Why can more than one strategy be correct?
Answer: Different correct strategies can represent the same mathematics in different but equivalent ways.
Q28. What should you do before using a formula or rule?
Answer: Check what each quantity means and whether the rule matches the situation.
Q29. How does practice help in mathematics?
Answer: Practice builds accuracy and fluency while helping you recognize which strategies fit different problems.
Q30. What is a good way to learn from a mistake?
Answer: Find the exact step where the reasoning changed from correct to incorrect, then solve a similar problem again.