Chapter 19: Adding and Subtracting Decimal Tenths
Learn Grade 4 mathematics with very-beginner explanations, original worked examples, practice, reasoning, and review.
Chapter Overview
This chapter teaches Adding and Subtracting Decimal Tenths in original, simple language with step-by-step reasoning, worked examples, practice exercises, common mistakes, and review questions.
19.1 Adding tenths with models
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 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 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 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 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 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 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 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 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 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
Practice Exercise
Create and solve one new example of Adding tenths with models. 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.
19.2 Adding tenths with place value
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 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 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 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 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 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 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 Adding tenths with place value. 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.
19.3 Adding a whole number and 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 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 3
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 4
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 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 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 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 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 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 Adding a whole number and 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.
19.4 Subtracting tenths with models
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 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 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 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 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 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 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 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 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 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 Subtracting tenths with models. 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.
19.5 Subtracting tenths with place value
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 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 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 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 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 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 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 9
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 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 Subtracting tenths with place value. 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.
19.6 Subtracting from a whole number
Subtraction finds what remains or the difference between quantities. Addition is a useful way to check. 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: Calculate 2,708 − 369.
- Line up place values.
- Subtract from right to left.
- Regroup when needed.
Very beginner explanation: Addition can be used to check subtraction.
Answer: 2,339
Worked Example 2
Problem: Calculate 3,192 − 1,490.
- Line up place values.
- Subtract from right to left.
- Regroup when needed.
Very beginner explanation: Addition can be used to check subtraction.
Answer: 1,702
Worked Example 3
Problem: Calculate 1,752 − 1,005.
- Line up place values.
- Subtract from right to left.
- Regroup when needed.
Very beginner explanation: Addition can be used to check subtraction.
Answer: 747
Worked Example 4
Problem: Calculate 8,610 − 7,887.
- Line up place values.
- Subtract from right to left.
- Regroup when needed.
Very beginner explanation: Addition can be used to check subtraction.
Answer: 723
Worked Example 5
Problem: Calculate 6,525 − 137.
- Line up place values.
- Subtract from right to left.
- Regroup when needed.
Very beginner explanation: Addition can be used to check subtraction.
Answer: 6,388
Worked Example 6
Problem: Calculate 7,776 − 576.
- Line up place values.
- Subtract from right to left.
- Regroup when needed.
Very beginner explanation: Addition can be used to check subtraction.
Answer: 7,200
Worked Example 7
Problem: Calculate 6,698 − 446.
- Line up place values.
- Subtract from right to left.
- Regroup when needed.
Very beginner explanation: Addition can be used to check subtraction.
Answer: 6,252
Worked Example 8
Problem: Calculate 8,956 − 7,889.
- Line up place values.
- Subtract from right to left.
- Regroup when needed.
Very beginner explanation: Addition can be used to check subtraction.
Answer: 1,067
Worked Example 9
Problem: Calculate 7,609 − 6,595.
- Line up place values.
- Subtract from right to left.
- Regroup when needed.
Very beginner explanation: Addition can be used to check subtraction.
Answer: 1,014
Worked Example 10
Problem: Calculate 2,036 − 261.
- Line up place values.
- Subtract from right to left.
- Regroup when needed.
Very beginner explanation: Addition can be used to check subtraction.
Answer: 1,775
Practice Exercise
Create and solve one new example of Subtracting from a whole number. 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.
19.7 Regrouping one whole as ten 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 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 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 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 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 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 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 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 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 Regrouping one whole as ten 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.
19.8 Mental decimal addition
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 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 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 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 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 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 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 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 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
Practice Exercise
Create and solve one new example of Mental decimal addition. 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.
19.9 Mental decimal subtraction
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 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 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 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 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 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 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 7
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 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 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 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
Practice Exercise
Create and solve one new example of Mental decimal subtraction. 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.
19.10 Measurement problems with 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 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 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 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 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 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 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 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 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 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 Measurement problems with 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.
19.11 Checking decimal calculations
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 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 3
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 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 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 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 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 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 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 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 Checking decimal calculations. 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.
19.12 Common decimal-operation 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 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 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 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 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 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 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 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 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 10
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
Practice Exercise
Create and solve one new example of Common decimal-operation 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.
30 Review Questions and Answers
Q1. What is important to understand about Adding tenths with models?
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 Adding tenths with place value?
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 Adding a whole number and tenths?
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 Subtracting tenths with models?
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 Subtracting tenths with place value?
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 Subtracting from a whole number?
Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.
Q7. What is important to understand about Regrouping one whole as ten tenths?
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 Mental decimal addition?
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 Mental decimal subtraction?
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 Measurement problems with tenths?
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 Checking decimal calculations?
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 Common decimal-operation errors?
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 Adding tenths with models?
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 Adding tenths with place value?
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 Adding a whole number and tenths?
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 Subtracting tenths with models?
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 Subtracting tenths with place value?
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 Subtracting from a whole number?
Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.
Q19. How would you explain Regrouping one whole as ten tenths?
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 Mental decimal addition?
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 Mental decimal subtraction?
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 Measurement problems with tenths?
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 Checking decimal calculations?
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 Common decimal-operation errors?
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 Adding tenths with models?
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 Adding tenths with place value?
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 Adding a whole number and tenths?
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 Subtracting tenths with models?
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 Subtracting tenths with place value?
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 Subtracting from a whole number?
Answer: Subtraction finds what remains or the difference between quantities. Addition is a useful way to check.