Chapter 11: Comparing and Ordering Decimal Tenths
Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Comparing and Ordering Decimal Tenths in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
11.1 Comparing tenths
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 2
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 3
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 4
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 5
Problem: Write 2/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.2
Worked Example 6
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 7
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 8
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 9
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 10
Problem: Write 6/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.6
Practice Exercise
Create and solve one new example of Comparing tenths. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.2 Using place value to compare decimals
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 2
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 3
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 4
Problem: Write 1/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.1
Worked Example 5
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 6
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 7
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 8
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 9
Problem: Write 2/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.2
Worked Example 10
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Practice Exercise
Create and solve one new example of Using place value to compare decimals. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.3 Using number lines to compare decimals
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 2
Problem: Write 5/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.5
Worked Example 3
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 4
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 5
Problem: Write 2/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.2
Worked Example 6
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 7
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 8
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 9
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 10
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Practice Exercise
Create and solve one new example of Using number lines to compare decimals. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.4 Ordering decimals least to greatest
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 2
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 3
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 4
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 5
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 6
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 7
Problem: Write 5/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.5
Worked Example 8
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 9
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 10
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Practice Exercise
Create and solve one new example of Ordering decimals least to greatest. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.5 Ordering decimals greatest to least
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 2
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 3
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 4
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 5
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 6
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 7
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 8
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 9
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 10
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Practice Exercise
Create and solve one new example of Ordering decimals greatest to least. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.6 Decimals equal to whole numbers
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 2
Problem: Write 6/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.6
Worked Example 3
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 4
Problem: Write 1/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.1
Worked Example 5
Problem: Write 2/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.2
Worked Example 6
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 7
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 8
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 9
Problem: Write 1/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.1
Worked Example 10
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Practice Exercise
Create and solve one new example of Decimals equal to whole numbers. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.7 Finding a decimal between two values
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 2
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 3
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 4
Problem: Write 5/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.5
Worked Example 5
Problem: Write 5/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.5
Worked Example 6
Problem: Write 6/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.6
Worked Example 7
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 8
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 9
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 10
Problem: Write 1/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.1
Practice Exercise
Create and solve one new example of Finding a decimal between two values. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.8 Benchmark decimals
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 2
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 3
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 4
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 5
Problem: Write 6/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.6
Worked Example 6
Problem: Write 5/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.5
Worked Example 7
Problem: Write 5/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.5
Worked Example 8
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 9
Problem: Write 2/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.2
Worked Example 10
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Practice Exercise
Create and solve one new example of Benchmark decimals. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.9 Comparing decimals in measurement
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 2
Problem: Write 6/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.6
Worked Example 3
Problem: Write 2/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.2
Worked Example 4
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 5
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 6
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 7
Problem: Write 1/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.1
Worked Example 8
Problem: Write 2/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.2
Worked Example 9
Problem: Write 2/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.2
Worked Example 10
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Practice Exercise
Create and solve one new example of Comparing decimals in measurement. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.10 Explaining decimal comparisons
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 2/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.2
Worked Example 2
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 3
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 4
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 5
Problem: Write 6/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.6
Worked Example 6
Problem: Write 2/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.2
Worked Example 7
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 8
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 9
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 10
Problem: Write 6/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.6
Practice Exercise
Create and solve one new example of Explaining decimal comparisons. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.11 Common decimal comparison errors
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 2
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 3
Problem: Write 1/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.1
Worked Example 4
Problem: Write 6/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.6
Worked Example 5
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 6
Problem: Write 5/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.5
Worked Example 7
Problem: Write 0/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.0
Worked Example 8
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 9
Problem: Write 1/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.1
Worked Example 10
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Practice Exercise
Create and solve one new example of Common decimal comparison errors. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
11.12 Mixed decimal comparison practice
A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10. Work one step at a time, use a model or number sentence when useful, and check whether the answer is reasonable.
Beginner Explanation
First identify what is given and what must be found. Then choose a strategy, show the steps clearly, and check the final answer.
10 Worked Examples with Answers
Worked Example 1
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 2
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 3
Problem: Write 4/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.4
Worked Example 4
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 5
Problem: Write 9/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.9
Worked Example 6
Problem: Write 7/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.7
Worked Example 7
Problem: Write 6/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.6
Worked Example 8
Problem: Write 3/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.3
Worked Example 9
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Worked Example 10
Problem: Write 8/10 as a decimal.
- The denominator 10 means tenths.
- Put the numerator in the tenths place.
Very beginner explanation: Tenths can be written as either fractions or decimals.
Answer: 0.8
Practice Exercise
Create and solve one new example of Mixed decimal comparison practice. Show the steps and explain how you checked it.
Common Mistake
Do not rush into a calculation before understanding the question. Check place values, labels, units, and whether your answer fits the situation.
30 Review Questions and Answers
Q1. What is important to understand about Comparing tenths?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q2. What is important to understand about Using place value to compare decimals?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q3. What is important to understand about Using number lines to compare decimals?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q4. What is important to understand about Ordering decimals least to greatest?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q5. What is important to understand about Ordering decimals greatest to least?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q6. What is important to understand about Decimals equal to whole numbers?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q7. What is important to understand about Finding a decimal between two values?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q8. What is important to understand about Benchmark decimals?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q9. What is important to understand about Comparing decimals in measurement?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q10. What is important to understand about Explaining decimal comparisons?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q11. What is important to understand about Common decimal comparison errors?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q12. What is important to understand about Mixed decimal comparison practice?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q13. How would you explain Comparing tenths?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q14. How would you explain Using place value to compare decimals?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q15. How would you explain Using number lines to compare decimals?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q16. How would you explain Ordering decimals least to greatest?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q17. How would you explain Ordering decimals greatest to least?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q18. How would you explain Decimals equal to whole numbers?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q19. How would you explain Finding a decimal between two values?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q20. How would you explain Benchmark decimals?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q21. How would you explain Comparing decimals in measurement?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q22. How would you explain Explaining decimal comparisons?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q23. How would you explain Common decimal comparison errors?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q24. How would you explain Mixed decimal comparison practice?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q25. What should a beginner check when working with Comparing tenths?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q26. What should a beginner check when working with Using place value to compare decimals?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q27. What should a beginner check when working with Using number lines to compare decimals?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q28. What should a beginner check when working with Ordering decimals least to greatest?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q29. What should a beginner check when working with Ordering decimals greatest to least?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.
Q30. What should a beginner check when working with Decimals equal to whole numbers?
Answer: A decimal with one digit after the decimal point represents tenths. Tenths can also be written as fractions with denominator 10.