Free Grade 3 Working with Recurring Decimals Essentials Lessons
Free Grade 3 lessons for Working with Recurring Decimals Essentials: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with recurring decimals essentials
Identify working with recurring decimals essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with recurring decimals essentials
Explain working with recurring decimals essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with recurring decimals essentials
Calculate working with recurring decimals essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with recurring decimals essentials
Compare working with recurring decimals essentials 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 Recurring Decimals Essentials 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.
- 1.46.3 − 3.6 = ?[1]
- 2.67 − 48 = ?[1]
- 3.70.2 + 92.2 = ?[1]
- 4.67.3 − 18.3 = ?[1]
- 5.7.78 − 1.27 = ?[2]
- 6.3.68 − 1.29 = ?[2]
- 7.2.64 + 4.97 = ?[2]
- 8.9.6 − 4.39 = ?[2]
- 9.0.589 × 8 = ?[3]
- 10.0.056 × 2 = ?[3]
- 11.0.654 × 4 = ?[3]
- 12.0.59 × 3 = ?[3]
Show answers and working
1. 42.7
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 42.7.
2. 19
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 19.
3. 162.4
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 162.4.
4. 49
Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 49.
5. 6.51
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 6.51.
6. 2.39
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 2.39.
7. 7.61
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 7.61.
8. 5.21
Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 5.21.
9. 4.712
Ignore the decimal: 589 × 8 = 4712. Put back 3 decimal places: 4.712.
10. 0.112
Ignore the decimal: 56 × 2 = 112. Put back 3 decimal places: 0.112.
11. 2.616
Ignore the decimal: 654 × 4 = 2616. Put back 3 decimal places: 2.616.
12. 1.77
Ignore the decimal: 590 × 3 = 1770. Put back 3 decimal places: 1.77.
Worked examples
52.9 − 37.1 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 1 decimal place.
- Subtract as whole numbers: 15.8.
- Answer: 15.8
9.52 + 4.43 = ?
- Line up the decimal points.
- Fill gaps with zeros so both have 2 decimal places.
- Add as whole numbers: 13.95.
- Answer: 13.95
0.685 × 6 = ?
- Ignore the decimal: 685 × 6 = 4110.
- Put back 3 decimal places: 4.11.
- Answer: 4.11
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 Recurring Decimals Essentials 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 Introducing Recurring Decimals. 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 Recurring Decimals Essentials?
- Move on to Working with Recurring Decimals Techniques, Working with Recurring Decimals Word Problems, Working with Recurring Decimals Common Errors, Introducing Recurring Decimals, which build directly on this idea.
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