Free Grade 3 Working with Decimal Place Value Common Errors Lessons
Free Grade 3 lessons for Working with Decimal Place Value Common Errors: 12 real questions with a full answer key and worked solutions. Decimals extend place value past the ones: tenths, hundredths, thousandths. Line up decimal points when adding or subtracting.
Free
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with decimal place value common errors
Explain working with decimal place value common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with decimal place value common errors
Calculate working with decimal place value common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with decimal place value common errors
Compare working with decimal place value common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with decimal place value common errors
Justify working with decimal place value common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Working with Decimal Place Value Common Errors works
Decimals extend place value past the ones: tenths, hundredths, thousandths. Line up decimal points when adding or subtracting.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.21.2 + 67.4 = ?[1]
- 2.59.8 − 21.8 = ?[1]
- 3.1.1 + 87.3 = ?[1]
- 4.74.1 − 41 = ?[1]
- 5.5.64 + 6.09 = ?[2]
- 6.4.41 − 0.61 = ?[2]
- 7.7.34 − 7.15 = ?[2]
- 8.9.08 − 4.31 = ?[2]
- 9.0.46 × 5 = ?[3]
- 10.0.01 × 7 = ?[3]
- 11.0.681 × 5 = ?[3]
- 12.0.119 × 4 = ?[3]
Show answers and working
1. 88.6
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 88.6.
2. 38
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 38.
3. 88.4
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 88.4.
4. 33.1
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 33.1.
5. 11.73
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 11.73.
6. 3.8
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 3.8.
7. 0.19
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 0.19.
8. 4.77
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 4.77.
9. 2.3
Ignore the decimal: 460 × 5 = 2300. Put back 3 decimal places: 2.3.
10. 0.07
Ignore the decimal: 10 × 7 = 70. Put back 3 decimal places: 0.07.
11. 3.405
Ignore the decimal: 681 × 5 = 3405. Put back 3 decimal places: 3.405.
12. 0.476
Ignore the decimal: 119 × 4 = 476. Put back 3 decimal places: 0.476.
Worked examples
14.7 + 2.2 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 1 decimal place.
- Add as whole numbers: 16.9.
- Answer: 16.9
3.72 − 1.38 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 2 decimal places.
- Subtract as whole numbers: 2.34.
- Answer: 2.34
0.993 × 4 = ?
- Ignore the decimal: 993 × 4 = 3972.
- Put back 3 decimal places: 3.972.
- Answer: 3.972
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Thinks 0.25 is bigger than 0.3 because 25 > 3.
Correction: Fill with zeros: 0.25 vs 0.30.
Lines up the last digits instead of the decimal points.
Correction: Decimal points go in one straight column.
Teacher tips
- · Use money to make tenths and hundredths concrete.
Parent tips
- · Add up prices with cents together.
Real-life applications
- · Money, measurements, race times.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Working with Decimal Place Value Common Errors lesson really free?
- Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Working with Decimal Place Value Word Problems, Working with Decimal Place Value Techniques, Introducing Decimal Place Value. Each one has its own free lesson, worksheet and quiz.
- How is the lesson sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Working with Decimal Place Value Common Errors?
- Move on to Introducing Decimal Place Value, Decimal Place Value in Context, which build directly on this idea.
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