Free Grade 3 Introducing Decimal Place Value Worksheets
Free Grade 3 worksheets for Introducing Decimal Place Value: 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
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing decimal place value
Identify introducing decimal place value accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing decimal place value
Explain introducing decimal place value accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing decimal place value
Calculate introducing decimal place value accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing decimal place value
Compare introducing decimal place value 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 Introducing Decimal Place Value 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.
- 1.21.9 − 20.1 = ?[1]
- 2.93 − 10.1 = ?[1]
- 3.44.6 + 71 = ?[1]
- 4.51.2 + 10.6 = ?[1]
- 5.7.45 + 5.32 = ?[2]
- 6.3.95 + 1.69 = ?[2]
- 7.3.29 + 1.53 = ?[2]
- 8.0.86 + 4.61 = ?[2]
- 9.0.947 × 2 = ?[3]
- 10.0.567 × 5 = ?[3]
- 11.0.904 × 9 = ?[3]
- 12.0.441 × 6 = ?[3]
Show answers and working
1. 1.8
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 1.8.
2. 82.9
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 82.9.
3. 115.6
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 115.6.
4. 61.8
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 61.8.
5. 12.77
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 12.77.
6. 5.64
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 5.64.
7. 4.82
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 4.82.
8. 5.47
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 5.47.
9. 1.894
Ignore the decimal: 947 × 2 = 1894. Put back 3 decimal places: 1.894.
10. 2.835
Ignore the decimal: 567 × 5 = 2835. Put back 3 decimal places: 2.835.
11. 8.136
Ignore the decimal: 904 × 9 = 8136. Put back 3 decimal places: 8.136.
12. 2.646
Ignore the decimal: 441 × 6 = 2646. Put back 3 decimal places: 2.646.
Worked examples
97.7 − 64.6 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 1 decimal place.
- Subtract as whole numbers: 33.1.
- Answer: 33.1
6.11 + 6.25 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 2 decimal places.
- Add as whole numbers: 12.36.
- Answer: 12.36
0.057 × 9 = ?
- Ignore the decimal: 57 × 9 = 513.
- Put back 3 decimal places: 0.513.
- Answer: 0.513
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.
Every free resource for Introducing Decimal Place Value
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Introducing Decimal Place Value 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 Fractions. 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 Introducing Decimal Place Value?
- Move on to Working with Decimal Place Value, Decimal Place Value in Context, Reading Decimals, Comparing Decimals, which build directly on this idea.
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