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Free Grade 3 Introducing Rounding Decimals Lessons

Free Grade 3 lessons for Introducing Rounding Decimals: 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

15 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify introducing rounding decimals

    Identify introducing rounding decimals accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing rounding decimals

    Explain introducing rounding decimals accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing rounding decimals

    Calculate introducing rounding decimals accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing rounding decimals

    Compare introducing rounding decimals 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 Rounding Decimals 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. 1.42.8 − 31.4 = ?[1]
  2. 2.80.2 − 8 = ?[1]
  3. 3.65.4 + 29.2 = ?[1]
  4. 4.88.7 − 24.2 = ?[1]
  5. 5.9.47 − 4.2 = ?[2]
  6. 6.5.5 + 3.53 = ?[2]
  7. 7.1.39 + 4.76 = ?[2]
  8. 8.8.4 − 1.8 = ?[2]
  9. 9.0.397 × 6 = ?[3]
  10. 10.0.566 × 9 = ?[3]
  11. 11.0.873 × 8 = ?[3]
  12. 12.0.101 × 5 = ?[3]
Show answers and working
  1. 1. 11.4

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 11.4.

  2. 2. 72.2

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 72.2.

  3. 3. 94.6

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Add as whole numbers: 94.6.

  4. 4. 64.5

    Line up the decimal points. Fill gaps with zeros so both have 1 decimal place. Subtract as whole numbers: 64.5.

  5. 5. 5.27

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 5.27.

  6. 6. 9.03

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 9.03.

  7. 7. 6.15

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Add as whole numbers: 6.15.

  8. 8. 6.6

    Line up the decimal points. Fill gaps with zeros so both have 2 decimal places. Subtract as whole numbers: 6.6.

  9. 9. 2.382

    Ignore the decimal: 397 × 6 = 2382. Put back 3 decimal places: 2.382.

  10. 10. 5.094

    Ignore the decimal: 566 × 9 = 5094. Put back 3 decimal places: 5.094.

  11. 11. 6.984

    Ignore the decimal: 873 × 8 = 6984. Put back 3 decimal places: 6.984.

  12. 12. 0.505

    Ignore the decimal: 101 × 5 = 505. Put back 3 decimal places: 0.505.

Worked examples

Easy example

82.7 − 80.8 = ?

  1. Line up the decimal points.
  2. Fill gaps with zeros so both have 1 decimal place.
  3. Subtract as whole numbers: 1.9.
  4. Answer: 1.9
Medium example

6.41 − 2.46 = ?

  1. Line up the decimal points.
  2. Fill gaps with zeros so both have 2 decimal places.
  3. Subtract as whole numbers: 3.95.
  4. Answer: 3.95
Hard example

0.372 × 2 = ?

  1. Ignore the decimal: 372 × 2 = 744.
  2. Put back 3 decimal places: 0.744.
  3. Answer: 0.744

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.

CAMBRIDGE CAM-478.1 — Mapped statement covering Introducing Rounding Decimals.NATIONAL-CURRICULUM NAT-166.2 — Mapped statement covering Introducing Rounding Decimals.

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Frequently asked

Is this Grade 3 Introducing Rounding Decimals 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 Comparing 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 Introducing Rounding Decimals?
Move on to Working with Rounding Decimals, Rounding Decimals in Context, Decimal Place Value, Reading Decimals, which build directly on this idea.

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