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Free Grade 3 Working with Recurring Decimals Essentials Worksheets

Free Grade 3 worksheets 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.

Price

Free

Difficulty

Foundation

Estimated time

20 min

Total marks

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.

Key wordsdecimal pointtenthshundredthsdecimal place

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.57.6 + 17.8 = ?[1]
  2. 2.44.9 − 29.2 = ?[1]
  3. 3.92.3 + 93.6 = ?[1]
  4. 4.32.6 − 17.3 = ?[1]
  5. 5.7.1 + 6.76 = ?[2]
  6. 6.4.72 + 5.24 = ?[2]
  7. 7.3.92 + 9.36 = ?[2]
  8. 8.8.06 − 1.01 = ?[2]
  9. 9.0.904 × 2 = ?[3]
  10. 10.0.904 × 3 = ?[3]
  11. 11.0.795 × 5 = ?[3]
  12. 12.0.179 × 6 = ?[3]
Show answers and working
  1. 1. 75.4

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 75.4.

  2. 2. 15.7

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 15.7.

  3. 3. 185.9

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 185.9.

  4. 4. 15.3

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 15.3.

  5. 5. 13.86

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 13.86.

  6. 6. 9.96

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 9.96.

  7. 7. 13.28

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 13.28.

  8. 8. 7.05

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 7.05.

  9. 9. 1.808

    Ignore the decimal: 904 × 2 = 1808. Put back 3 decimal places: 1.808.

  10. 10. 2.712

    Ignore the decimal: 904 × 3 = 2712. Put back 3 decimal places: 2.712.

  11. 11. 3.975

    Ignore the decimal: 795 × 5 = 3975. Put back 3 decimal places: 3.975.

  12. 12. 1.074

    Ignore the decimal: 179 × 6 = 1074. Put back 3 decimal places: 1.074.

Worked examples

Easy example

21.3 − 13.1 = ?

  1. Line up the decimal points.
  2. Fill gaps with zeros so both have 1 decimal place.
  3. Subtract as whole numbers: 8.2.
  4. Answer: 8.2
Medium example

7.47 + 2.48 = ?

  1. Line up the decimal points.
  2. Fill gaps with zeros so both have 2 decimal places.
  3. Add as whole numbers: 9.95.
  4. Answer: 9.95
Hard example

0.263 × 2 = ?

  1. Ignore the decimal: 263 × 2 = 526.
  2. Put back 3 decimal places: 0.526.
  3. Answer: 0.526

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.

COMMON-CORE COM-545.1 — Mapped statement covering Working with Recurring Decimals Essentials.OCR OCR-900.2 — Mapped statement covering Working with Recurring Decimals Essentials.

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Frequently asked

Is this Grade 3 Working with Recurring Decimals Essentials 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 Introducing Recurring Decimals. 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 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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