Chapter 5: Decimal Place Value, Comparison, and Rounding
Learn Grade 6 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Decimal Place Value, Comparison, and Rounding in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
Key Technical Terms
- Tenths (Tenths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Hundredths (Hundredths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Thousandths (Thousandths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Reading decimals (A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths.)
- Rounding to tenths (Rounding to tenths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. The goal is to understand the meaning, choose a suitable strategy, show the steps clearly, and check that the result is reasonable.)
- Rounding to hundredths (Rounding to hundredths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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.
5.1 Tenths
Tenths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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: What digit is in the tenths place of 53.836?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 8
Worked Example 2
Problem: What digit is in the tenths place of 38.006?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 3
Problem: What digit is in the tenths place of 4.038?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 4
Problem: What digit is in the tenths place of 60.179?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Worked Example 5
Problem: What digit is in the tenths place of 93.869?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 8
Worked Example 6
Problem: What digit is in the tenths place of 21.206?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 2
Worked Example 7
Problem: What digit is in the tenths place of 75.13?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Worked Example 8
Problem: What digit is in the tenths place of 46.025?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 9
Problem: What digit is in the tenths place of 73.728?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Worked Example 10
Problem: What digit is in the tenths place of 70.927?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 9
Practice Exercise
Create one new Grade 6 problem about Tenths. 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.
5.2 Hundredths
Hundredths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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: What digit is in the tenths place of 9.236?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 2
Worked Example 2
Problem: What digit is in the tenths place of 78.681?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 6
Worked Example 3
Problem: What digit is in the tenths place of 18.841?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 8
Worked Example 4
Problem: What digit is in the tenths place of 56.536?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 5
Worked Example 5
Problem: What digit is in the tenths place of 89.008?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 6
Problem: What digit is in the tenths place of 8.738?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Worked Example 7
Problem: What digit is in the tenths place of 32.314?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 3
Worked Example 8
Problem: What digit is in the tenths place of 7.493?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 4
Worked Example 9
Problem: What digit is in the tenths place of 1.815?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 8
Worked Example 10
Problem: What digit is in the tenths place of 16.058?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Practice Exercise
Create one new Grade 6 problem about Hundredths. 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.
5.3 Thousandths
Thousandths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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: What digit is in the tenths place of 39.7?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Worked Example 2
Problem: What digit is in the tenths place of 16.149?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Worked Example 3
Problem: What digit is in the tenths place of 53.217?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 2
Worked Example 4
Problem: What digit is in the tenths place of 90.808?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 8
Worked Example 5
Problem: What digit is in the tenths place of 63.925?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 9
Worked Example 6
Problem: What digit is in the tenths place of 27.088?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 7
Problem: What digit is in the tenths place of 56.302?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 3
Worked Example 8
Problem: What digit is in the tenths place of 4.36?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 3
Worked Example 9
Problem: What digit is in the tenths place of 93.315?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 3
Worked Example 10
Problem: What digit is in the tenths place of 77.338?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 3
Practice Exercise
Create one new Grade 6 problem about Thousandths. 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.
5.4 Reading decimals
A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths. 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: What digit is in the tenths place of 26.291?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 2
Worked Example 2
Problem: What digit is in the tenths place of 11.741?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Worked Example 3
Problem: What digit is in the tenths place of 25.108?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Worked Example 4
Problem: What digit is in the tenths place of 57.435?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 4
Worked Example 5
Problem: What digit is in the tenths place of 29.359?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 3
Worked Example 6
Problem: What digit is in the tenths place of 73.606?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 6
Worked Example 7
Problem: What digit is in the tenths place of 53.036?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 8
Problem: What digit is in the tenths place of 85.108?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Worked Example 9
Problem: What digit is in the tenths place of 99.079?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 10
Problem: What digit is in the tenths place of 23.732?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Practice Exercise
Create one new Grade 6 problem about Reading decimals. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is lining up the last digits instead of lining up decimal points and place values.
5.5 Writing decimals
A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths. 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: What digit is in the tenths place of 67.475?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 4
Worked Example 2
Problem: What digit is in the tenths place of 76.636?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 6
Worked Example 3
Problem: What digit is in the tenths place of 43.408?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 4
Worked Example 4
Problem: What digit is in the tenths place of 94.26?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 2
Worked Example 5
Problem: What digit is in the tenths place of 49.185?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Worked Example 6
Problem: What digit is in the tenths place of 41.744?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Worked Example 7
Problem: What digit is in the tenths place of 37.699?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 6
Worked Example 8
Problem: What digit is in the tenths place of 24.017?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 9
Problem: What digit is in the tenths place of 85.064?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 10
Problem: What digit is in the tenths place of 30.138?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Practice Exercise
Create one new Grade 6 problem about Writing decimals. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is lining up the last digits instead of lining up decimal points and place values.
5.6 Expanded decimal form
A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths. 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: What digit is in the tenths place of 10.657?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 6
Worked Example 2
Problem: What digit is in the tenths place of 41.724?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Worked Example 3
Problem: What digit is in the tenths place of 33.458?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 4
Worked Example 4
Problem: What digit is in the tenths place of 85.097?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 5
Problem: What digit is in the tenths place of 6.459?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 4
Worked Example 6
Problem: What digit is in the tenths place of 21.236?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 2
Worked Example 7
Problem: What digit is in the tenths place of 42.921?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 9
Worked Example 8
Problem: What digit is in the tenths place of 65.957?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 9
Worked Example 9
Problem: What digit is in the tenths place of 33.014?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 10
Problem: What digit is in the tenths place of 87.132?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Practice Exercise
Create one new Grade 6 problem about Expanded decimal form. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is lining up the last digits instead of lining up decimal points and place values.
5.7 Comparing decimals
A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths. 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: Compare 8.682 and 2.574.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 8.682 > 2.574
Worked Example 2
Problem: Compare 76.831 and 11.315.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 76.831 > 11.315
Worked Example 3
Problem: Compare 35.722 and 11.36.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 35.722 > 11.36
Worked Example 4
Problem: Compare 97.375 and 14.752.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 97.375 > 14.752
Worked Example 5
Problem: Compare 71.291 and 7.899.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 71.291 > 7.899
Worked Example 6
Problem: Compare 71.009 and 0.34.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 71.009 > 0.34
Worked Example 7
Problem: Compare 33.162 and 14.041.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 33.162 > 14.041
Worked Example 8
Problem: Compare 89.393 and 15.495.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 89.393 > 15.495
Worked Example 9
Problem: Compare 89.989 and 14.565.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 89.989 > 14.565
Worked Example 10
Problem: Compare 86.46 and 12.524.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 86.46 > 12.524
Practice Exercise
Create one new Grade 6 problem about Comparing decimals. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is lining up the last digits instead of lining up decimal points and place values.
5.8 Ordering decimals
A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths. 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: Compare 22.962 and 4.191.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 22.962 > 4.191
Worked Example 2
Problem: Compare 65.34 and 4.236.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 65.34 > 4.236
Worked Example 3
Problem: Compare 73.089 and 8.444.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 73.089 > 8.444
Worked Example 4
Problem: Compare 68.439 and 12.465.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 68.439 > 12.465
Worked Example 5
Problem: Compare 92.052 and 6.038.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 92.052 > 6.038
Worked Example 6
Problem: Compare 86.761 and 19.264.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 86.761 > 19.264
Worked Example 7
Problem: Compare 95.066 and 15.587.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 95.066 > 15.587
Worked Example 8
Problem: Compare 98.274 and 11.905.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 98.274 > 11.905
Worked Example 9
Problem: Compare 81.066 and 16.842.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 81.066 > 16.842
Worked Example 10
Problem: Compare 80.876 and 12.629.
- Compare whole-number parts first.
- Then compare tenths, hundredths, and thousandths.
Very beginner explanation: Decimal comparison is place-value comparison.
Answer: 80.876 > 12.629
Practice Exercise
Create one new Grade 6 problem about Ordering decimals. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is lining up the last digits instead of lining up decimal points and place values.
5.9 Decimals on number lines
A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths. 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: What digit is in the tenths place of 28.694?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 6
Worked Example 2
Problem: What digit is in the tenths place of 76.571?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 5
Worked Example 3
Problem: What digit is in the tenths place of 36.62?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 6
Worked Example 4
Problem: What digit is in the tenths place of 76.322?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 3
Worked Example 5
Problem: What digit is in the tenths place of 97.034?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 6
Problem: What digit is in the tenths place of 85.469?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 4
Worked Example 7
Problem: What digit is in the tenths place of 8.633?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 6
Worked Example 8
Problem: What digit is in the tenths place of 67.063?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 9
Problem: What digit is in the tenths place of 76.873?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 8
Worked Example 10
Problem: What digit is in the tenths place of 62.593?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 5
Practice Exercise
Create one new Grade 6 problem about Decimals on number lines. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is lining up the last digits instead of lining up decimal points and place values.
5.10 Rounding decimals to whole numbers
A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths. 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: Round 587,860 to the nearest 10.
- Find the 10 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 587,860
Worked Example 2
Problem: Round 559,295 to the nearest 100.
- Find the 100 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 559,300
Worked Example 3
Problem: Round 233,012 to the nearest 1,000.
- Find the 1,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 233,000
Worked Example 4
Problem: Round 967,203 to the nearest 10,000.
- Find the 10,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 970,000
Worked Example 5
Problem: Round 789,831 to the nearest 100,000.
- Find the 100,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 800,000
Worked Example 6
Problem: Round 112,335 to the nearest 10.
- Find the 10 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 112,340
Worked Example 7
Problem: Round 212,522 to the nearest 100.
- Find the 100 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 212,500
Worked Example 8
Problem: Round 939,191 to the nearest 1,000.
- Find the 1,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 939,000
Worked Example 9
Problem: Round 819,616 to the nearest 10,000.
- Find the 10,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 820,000
Worked Example 10
Problem: Round 26,410 to the nearest 100,000.
- Find the 100,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 0
Practice Exercise
Create one new Grade 6 problem about Rounding decimals to whole numbers. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is lining up the last digits instead of lining up decimal points and place values.
5.11 Rounding to tenths
Rounding to tenths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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: Round 329,851 to the nearest 10.
- Find the 10 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 329,850
Worked Example 2
Problem: Round 763,114 to the nearest 100.
- Find the 100 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 763,100
Worked Example 3
Problem: Round 860,473 to the nearest 1,000.
- Find the 1,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 860,000
Worked Example 4
Problem: Round 31,549 to the nearest 10,000.
- Find the 10,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 30,000
Worked Example 5
Problem: Round 699,384 to the nearest 100,000.
- Find the 100,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 700,000
Worked Example 6
Problem: Round 518,830 to the nearest 10.
- Find the 10 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 518,830
Worked Example 7
Problem: Round 733,997 to the nearest 100.
- Find the 100 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 734,000
Worked Example 8
Problem: Round 735,402 to the nearest 1,000.
- Find the 1,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 735,000
Worked Example 9
Problem: Round 409,974 to the nearest 10,000.
- Find the 10,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 410,000
Worked Example 10
Problem: Round 386,384 to the nearest 100,000.
- Find the 100,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 400,000
Practice Exercise
Create one new Grade 6 problem about Rounding to tenths. 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.
5.12 Rounding to hundredths
Rounding to hundredths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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: Round 137,765 to the nearest 10.
- Find the 10 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 137,760
Worked Example 2
Problem: Round 597,572 to the nearest 100.
- Find the 100 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 597,600
Worked Example 3
Problem: Round 755,033 to the nearest 1,000.
- Find the 1,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 755,000
Worked Example 4
Problem: Round 880,850 to the nearest 10,000.
- Find the 10,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 880,000
Worked Example 5
Problem: Round 390,045 to the nearest 100,000.
- Find the 100,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 400,000
Worked Example 6
Problem: Round 778,151 to the nearest 10.
- Find the 10 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 778,150
Worked Example 7
Problem: Round 609,844 to the nearest 100.
- Find the 100 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 609,800
Worked Example 8
Problem: Round 12,219 to the nearest 1,000.
- Find the 1,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 12,000
Worked Example 9
Problem: Round 228,706 to the nearest 10,000.
- Find the 10,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 230,000
Worked Example 10
Problem: Round 212,371 to the nearest 100,000.
- Find the 100,000 place.
- Look at the digit one place to the right.
- 0–4 means keep the target digit; 5–9 means increase it by 1.
- Replace smaller places with zeros.
Very beginner explanation: Rounding keeps the number close to its original value while making it easier to use.
Answer: 200,000
Practice Exercise
Create one new Grade 6 problem about Rounding to hundredths. 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.
5.13 Estimating decimal quantities
A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths. 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: What digit is in the tenths place of 49.794?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Worked Example 2
Problem: What digit is in the tenths place of 7.092?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 3
Problem: What digit is in the tenths place of 65.733?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Worked Example 4
Problem: What digit is in the tenths place of 15.193?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Worked Example 5
Problem: What digit is in the tenths place of 39.062?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 6
Problem: What digit is in the tenths place of 64.555?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 5
Worked Example 7
Problem: What digit is in the tenths place of 49.065?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 0
Worked Example 8
Problem: What digit is in the tenths place of 33.349?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 3
Worked Example 9
Problem: What digit is in the tenths place of 9.326?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 3
Worked Example 10
Problem: What digit is in the tenths place of 66.697?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 6
Practice Exercise
Create one new Grade 6 problem about Estimating decimal quantities. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is lining up the last digits instead of lining up decimal points and place values.
5.14 Money and measurement decimals
A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths. 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: What digit is in the tenths place of 36.876?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 8
Worked Example 2
Problem: What digit is in the tenths place of 62.841?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 8
Worked Example 3
Problem: What digit is in the tenths place of 17.972?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 9
Worked Example 4
Problem: What digit is in the tenths place of 5.862?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 8
Worked Example 5
Problem: What digit is in the tenths place of 85.633?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 6
Worked Example 6
Problem: What digit is in the tenths place of 18.285?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 2
Worked Example 7
Problem: What digit is in the tenths place of 40.136?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Worked Example 8
Problem: What digit is in the tenths place of 86.735?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Worked Example 9
Problem: What digit is in the tenths place of 26.118?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 1
Worked Example 10
Problem: What digit is in the tenths place of 65.73?
- The first digit to the right of the decimal point is the tenths digit.
Very beginner explanation: Decimal places move right from tenths to hundredths to thousandths.
Answer: 7
Practice Exercise
Create one new Grade 6 problem about Money and measurement decimals. Solve it step by step, label any units, and explain how you checked your answer.
Common Mistake
A common mistake is lining up the last digits instead of lining up decimal points and place values.
30 Review Questions and Answers
Q1. What is important to understand about Tenths?
Answer: Tenths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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 Hundredths?
Answer: Hundredths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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 Thousandths?
Answer: Thousandths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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 Reading decimals?
Answer: A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths.
Q5. What is important to understand about Writing decimals?
Answer: A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths.
Q6. What is important to understand about Expanded decimal form?
Answer: A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths.
Q7. What is important to understand about Comparing decimals?
Answer: A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths.
Q8. What is important to understand about Ordering decimals?
Answer: A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths.
Q9. What is important to understand about Decimals on number lines?
Answer: A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths.
Q10. What is important to understand about Rounding decimals to whole numbers?
Answer: A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths.
Q11. What is important to understand about Rounding to tenths?
Answer: Rounding to tenths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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 Rounding to hundredths?
Answer: Rounding to hundredths is a Grade 6 mathematics idea in Decimal Place Value, Comparison, and Rounding. 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 Estimating decimal quantities?
Answer: A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths.
Q14. What is important to understand about Money and measurement decimals?
Answer: A decimal uses place value to show parts of one, such as tenths, hundredths, and thousandths.
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.