Free Grade 3 Decimal Place Value in Context Worksheets
Free Grade 3 worksheets for Decimal Place Value in Context: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain decimal place value in context
Explain decimal place value in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate decimal place value in context
Calculate decimal place value in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare decimal place value in context
Compare decimal place value in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify decimal place value in context
Justify decimal place value in context 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 Decimal Place Value in Context 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.
- 1.96 − 60.2 = ?[1]
- 2.49.8 + 22.4 = ?[1]
- 3.89.1 + 72.9 = ?[1]
- 4.41.8 + 36 = ?[1]
- 5.3.4 + 1.59 = ?[2]
- 6.7.14 − 5.82 = ?[2]
- 7.6.36 + 1.89 = ?[2]
- 8.1.69 + 2.73 = ?[2]
- 9.0.075 × 4 = ?[3]
- 10.0.062 × 5 = ?[3]
- 11.0.968 × 4 = ?[3]
- 12.0.232 × 7 = ?[3]
Show answers and working
1. 35.8
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 35.8.
2. 72.2
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 72.2.
3. 162
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 162.
4. 77.8
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 77.8.
5. 4.99
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 4.99.
6. 1.32
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 1.32.
7. 8.25
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 8.25.
8. 4.42
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 4.42.
9. 0.3
Ignore the decimal: 75 × 4 = 300. Put back 3 decimal places: 0.3.
10. 0.31
Ignore the decimal: 62 × 5 = 310. Put back 3 decimal places: 0.31.
11. 3.872
Ignore the decimal: 968 × 4 = 3872. Put back 3 decimal places: 3.872.
12. 1.624
Ignore the decimal: 232 × 7 = 1624. Put back 3 decimal places: 1.624.
Worked examples
40.2 + 88.9 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 1 decimal place.
- Add as whole numbers: 129.1.
- Answer: 129.1
8.99 − 6.26 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 2 decimal places.
- Subtract as whole numbers: 2.73.
- Answer: 2.73
0.678 × 3 = ?
- Ignore the decimal: 678 × 3 = 2034.
- Put back 3 decimal places: 2.034.
- Answer: 2.034
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 Decimal Place Value in Context
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Decimal Place Value in Context 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, Introducing Decimal Place Value, 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 Decimal Place Value in Context?
- Move on to Reading Decimals, Comparing Decimals, Rounding Decimals, Adding Decimals, which build directly on this idea.
Related resources
Stuck on Decimal Place Value in Context? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor