Free Grade 3 Working with Decimal Place Value Techniques Worksheets
Free Grade 3 worksheets for Working with Decimal Place Value Techniques: 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
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with decimal place value techniques
Explain working with decimal place value techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with decimal place value techniques
Calculate working with decimal place value techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with decimal place value techniques
Compare working with decimal place value techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with decimal place value techniques
Justify working with decimal place value techniques 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 Techniques 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.
- 1.30.6 + 69.4 = ?[1]
- 2.57.8 + 12 = ?[1]
- 3.77.7 − 67.6 = ?[1]
- 4.18.9 + 61.4 = ?[1]
- 5.8.71 − 3.58 = ?[2]
- 6.6.2 − 1.32 = ?[2]
- 7.6.73 + 6.99 = ?[2]
- 8.8.31 − 1.75 = ?[2]
- 9.0.219 × 3 = ?[3]
- 10.0.751 × 9 = ?[3]
- 11.0.05 × 8 = ?[3]
- 12.0.182 × 6 = ?[3]
Show answers and working
1. 100
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 100.
2. 69.8
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 69.8.
3. 10.1
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 10.1.
4. 80.3
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 80.3.
5. 5.13
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 5.13.
6. 4.88
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 4.88.
7. 13.72
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 13.72.
8. 6.56
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 6.56.
9. 0.657
Ignore the decimal: 219 × 3 = 657. Put back 3 decimal places: 0.657.
10. 6.759
Ignore the decimal: 751 × 9 = 6759. Put back 3 decimal places: 6.759.
11. 0.4
Ignore the decimal: 50 × 8 = 400. Put back 3 decimal places: 0.4.
12. 1.092
Ignore the decimal: 182 × 6 = 1092. Put back 3 decimal places: 1.092.
Worked examples
95.5 − 87.5 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 1 decimal place.
- Subtract as whole numbers: 8.
- Answer: 8
9.17 + 5.54 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 2 decimal places.
- Add as whole numbers: 14.71.
- Answer: 14.71
0.675 × 6 = ?
- Ignore the decimal: 675 × 6 = 4050.
- Put back 3 decimal places: 4.05.
- Answer: 4.05
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 Techniques worksheet really free?
- Yes. Every worksheets 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 Essentials, Introducing Decimal Place Value. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Techniques?
- Move on to Working with Decimal Place Value Word Problems, Working with Decimal Place Value Common Errors, Introducing Decimal Place Value, Decimal Place Value in Context, which build directly on this idea.
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